Describe Attribute Under Investigation - 6th Grade Math

A PE teacher investigates, "How tall are the 6th graders in this class?" Students stand against a wall while the teacher uses a measuring tape and records each height. What is the measurement method?
Answer: Use a measuring tape to measure each student's height against the wall Tests describing attribute under investigation in statistical study: what characteristic measured (height, sleep hours, preferences), how it was measured (instrument, survey, observation), and units of measurement (cm, hours, points, categories). Three elements: (1) attribute=characteristic investigated (height, age, number of pets, favorite subject—what about subjects being studied), (2) measurement method=how data collected (height: using measuring tape/stadiometer; sleep: survey asking students to report hours; preference: survey with multiple choices; scores: grading test), (3) units=measurement scale (quantitative: cm, hours, points, kg numerical units; qualitative: categories like Math/Science/English, colors, yes/no—categorical labels not numbers). All three needed: attribute tells what, method tells how, units tell scale (complete description of data collection). For example, in a study investigating "How tall are 6th graders?", attribute: height, method: using measuring tape against wall (instrument and process), units: centimeters; or "How many pets?", attribute: pet count, method: survey, units: numbers. The correct measurement method is using a measuring tape to measure each student's height against the wall, as it directly collects physical height data. Errors like A (survey categories, qualitative not quantitative), C (counting students, not height), or D (points, wrong units). Describing: (1) identify attribute (what specific characteristic? height—precise), (2) describe method (how collected? physical measurement with tape), (3) state units (quantitative: cm). Mistakes: methods not specific or inappropriate for attribute.
A class investigates: "How many pets does each student have at home?" Each student writes a number on a sticky note (0, 1, 2, …). Which choice correctly describes the attribute, how it was measured, and the units?
Answer: Attribute: number of pets; Measured by asking students to report how many they have; Units: pets Tests describing attribute under investigation in statistical study: what characteristic measured (height, sleep hours, preferences), how it was measured (instrument, survey, observation), and units of measurement (cm, hours, points, categories). Three elements: (1) attribute=characteristic investigated (height, age, number of pets, favorite subject—what about subjects being studied), (2) measurement method=how data collected (height: using measuring tape/stadiometer; sleep: survey asking students to report hours; preference: survey with multiple choices; scores: grading test), (3) units=measurement scale (quantitative: cm, hours, points, kg numerical units; qualitative: categories like Math/Science/English, colors, yes/no—categorical labels not numbers). All three needed: attribute tells what, method tells how, units tell scale (complete description of data collection). Example: study investigating 'How many pets does each student have at home?', attribute: number of pets (count of animals owned), method: asking students to report how many they have via sticky notes (self-reported count), units: pets (count unit for quantitative data). Correct three-element description is choice B, which specifies attribute as number of pets, measured by asking students to report how many they have, and units as pets. Error like attribute vague (just 'students' not specific what about them), method missing (doesn't explain how measured), units omitted (height without cm), wrong units (categorical data with numerical units or vice versa), method inappropriate (survey for height when physical measurement needed), or incomplete (provides two of three elements, missing one). Describing: (1) identify attribute (what specific characteristic? height not 'tallness,' sleep duration not 'sleepiness'—precise), (2) describe method (how collected? physical measurement with instrument name ruler/scale/thermometer, survey question with response format, observation with criteria, grading with scoring rubric), (3) state units (quantitative numerical: cm, hours, points, dollars with unit; qualitative categorical: list categories or 'categorical'). Quantitative attributes: measured with numbers (height cm, age years, score points, temperature °C), instruments or counting. Qualitative: measured with categories (favorite subject, eye color, yes/no), surveys or observation. All three essential: without attribute (don't know what studied), without method (don't know how measured—replicability unclear), without units (numerical values ambiguous—72 what? cm? inches?). Mistakes: vague attributes, methods not specific enough, units missing or wrong type, conflating elements.
A cafeteria manager investigates: "How much milk (in milliliters) is left in a carton after lunch?" The manager pours the leftover milk into a graduated cylinder and reads the amount. Which choice correctly describes the measurement method?
Answer: Use a graduated cylinder to measure the leftover milk volume Tests describing attribute under investigation in statistical study: what characteristic measured (height, sleep hours, preferences), how it was measured (instrument, survey, observation), and units of measurement (cm, hours, points, categories). Three elements: (1) attribute=characteristic investigated (height, age, number of pets, favorite subject—what about subjects being studied), (2) measurement method=how data collected (height: using measuring tape/stadiometer; sleep: survey asking students to report hours; preference: survey with multiple choices; scores: grading test), (3) units=measurement scale (quantitative: cm, hours, points, kg numerical units; qualitative: categories like Math/Science/English, colors, yes/no—categorical labels not numbers). All three needed: attribute tells what, method tells how, units tell scale (complete description of data collection). Example: study investigating 'How much milk (in milliliters) is left in a carton after lunch?', attribute: leftover milk volume, method: pouring into a graduated cylinder and reading the amount (instrument for volume), units: milliliters (volume unit, quantitative). Correct three-element description for measurement method is using a graduated cylinder to measure the leftover milk volume. Error like attribute vague (just 'students' not specific what about them), method missing (doesn't explain how measured), units omitted (height without cm), wrong units (categorical data with numerical units or vice versa), method inappropriate (survey for height when physical measurement needed), or incomplete (provides two of three elements, missing one). Describing: (1) identify attribute (what specific characteristic? height not 'tallness,' sleep duration not 'sleepiness'—precise), (2) describe method (how collected? physical measurement with instrument name ruler/scale/thermometer, survey question with response format, observation with criteria, grading with scoring rubric), (3) state units (quantitative numerical: cm, hours, points, dollars with unit; qualitative categorical: list categories or 'categorical'). Quantitative attributes: measured with numbers (height cm, age years, score points, temperature °C), instruments or counting. Qualitative: measured with categories (favorite subject, eye color, yes/no), surveys or observation. All three essential: without attribute (don't know what studied), without method (don't know how measured—replicability unclear), without units (numerical values ambiguous—72 what? cm? inches?). Mistakes: vague attributes, methods not specific enough, units missing or wrong type, conflating elements.
A math teacher gives a 10-question quiz and records each student's score. Which choice correctly states the units for the scores?
Answer: Points (0 to 10) Tests describing attribute under investigation in statistical study: what characteristic measured (height, sleep hours, preferences), how it was measured (instrument, survey, observation), and units of measurement (cm, hours, points, categories). Three elements: (1) attribute=characteristic investigated (height, age, number of pets, favorite subject—what about subjects being studied), (2) measurement method=how data collected (height: using measuring tape/stadiometer; sleep: survey asking students to report hours; preference: survey with multiple choices; scores: grading test), (3) units=measurement scale (quantitative: cm, hours, points, kg numerical units; qualitative: categories like Math/Science/English, colors, yes/no—categorical labels not numbers). All three needed: attribute tells what, method tells how, units tell scale (complete description of data collection). For example, in a study investigating quiz scores, attribute: quiz performance, method: grading answers, units: points (0 to 10); or "Favorite subject?", attribute: preference, method: survey, units: categories. The correct units are points (0 to 10), as scores are numerical values out of total questions. Errors like cm or hours (physical units, not scores), or categories (qualitative, but scores are quantitative). Describing: (1) identify attribute (what specific characteristic? score—precise), (2) describe method (how collected? grading), (3) state units (quantitative numerical: points). All three essential: without units (scores ambiguous—5 what? points or percent?).
A teacher wants to study: "How many hours of sleep do 6th graders get on a school night?" Which choice correctly describes the attribute under investigation, how it is measured, and the units?
Answer: Attribute: number of hours of sleep per student; Method: students answer a survey question about last night's sleep; Units: hours When we plan to collect data, it helps to ask three questions: What are we measuring? How will we measure it? What units will we use? Let's work through this study about sleep. First, what are we measuring? We want to know the amount of sleep each student gets. So the attribute is the number of hours of sleep per student. Next, how do we measure it? We can't watch everyone sleep! The easiest way is to ask each student a survey question about how long they slept last night. Finally, what units? Sleep is counted in $\text{hours}$ . That's why choice B fits perfectly. Think of it like measuring how long you watched a movie. The attribute is the time watched, the method is checking the clock, and the units are hours. Try this at home: Pick something to study, like minutes spent reading. Name the attribute, the method, and the units!
Two studies are happening in the same class: Study 1: "What is each student's favorite fruit?" Students pick one fruit from a list. Study 2: "How many minutes does each student spend reading each day?" Students write a number. Which choice correctly compares the units used in Study 1 and Study 2?
Answer: Study 1 uses categories (fruit names); Study 2 uses minutes Tests describing attribute under investigation in statistical study: what characteristic measured (height, sleep hours, preferences), how it was measured (instrument, survey, observation), and units of measurement (cm, hours, points, categories). Three elements: (1) attribute=characteristic investigated (height, age, number of pets, favorite subject—what about subjects being studied), (2) measurement method=how data collected (height: using measuring tape/stadiometer; sleep: survey asking students to report hours; preference: survey with multiple choices; scores: grading test), (3) units=measurement scale (quantitative: cm, hours, points, kg numerical units; qualitative: categories like Math/Science/English, colors, yes/no—categorical labels not numbers). All three needed: attribute tells what, method tells how, units tell scale (complete description of data collection). Example: Study 1 'favorite fruit' attribute: fruit preference, method: picking from list, units: categories (fruit names); Study 2 'minutes reading' attribute: reading duration, method: writing a number, units: minutes (time). Correct comparison is Study 1 uses categories (fruit names); Study 2 uses minutes. Error like attribute vague (just 'students' not specific what about them), method missing (doesn't explain how measured), units omitted (height without cm), wrong units (categorical data with numerical units or vice versa), method inappropriate (survey for height when physical measurement needed), or incomplete (provides two of three elements, missing one). Describing: (1) identify attribute (what specific characteristic? height not 'tallness,' sleep duration not 'sleepiness'—precise), (2) describe method (how collected? physical measurement with instrument name ruler/scale/thermometer, survey question with response format, observation with criteria, grading with scoring rubric), (3) state units (quantitative numerical: cm, hours, points, dollars with unit; qualitative categorical: list categories or 'categorical'). Quantitative attributes: measured with numbers (height cm, age years, score points, temperature °C), instruments or counting. Qualitative: measured with categories (favorite subject, eye color, yes/no), surveys or observation. All three essential: without attribute (don't know what studied), without method (don't know how measured—replicability unclear), without units (numerical values ambiguous—72 what? cm? inches?). Mistakes: vague attributes, methods not specific enough, units missing or wrong type, conflating elements.
A student council wants to know: "How many siblings does each student have?" Which is the best description of the attribute, measurement method, and units?
Answer: Attribute: number of siblings per student; Method: students answer a survey question; Units: siblings (a count) Tests describing attribute under investigation in statistical study: what characteristic measured (height, sleep hours, preferences), how it was measured (instrument, survey, observation), and units of measurement (cm, hours, points, categories). Three elements: (1) attribute=characteristic investigated (height, age, number of pets, favorite subject—what about subjects being studied), (2) measurement method=how data collected (height: using measuring tape/stadiometer; sleep: survey asking students to report hours; preference: survey with multiple choices; scores: grading test), (3) units=measurement scale (quantitative: cm, hours, points, kg numerical units; qualitative: categories like Math/Science/English, colors, yes/no—categorical labels not numbers). All three needed: attribute tells what, method tells how, units tell scale (complete description of data collection). For example, in a study investigating "How many siblings does each student have?", attribute: number of siblings per student (count of family members), method: students answer a survey question (self-reported count), units: siblings (a count) (numerical count). The correct description is choice B, which details the attribute as number of siblings per student, the method as a survey question, and units as siblings (a count). Common mistakes include wrong methods like rulers for names (choice A), irrelevant attributes like number of students with temperatures (choice C), or confused elements like method as points and units as survey (choice D). For counts, which are quantitative, use numerical units without decimals; ensure the method fits the attribute for reliable data.
A teacher records quiz results to study: "What scores did students earn on the 10-point vocabulary quiz?" Which choice correctly describes the attribute, how it is measured, and the units?
Answer: Attribute: quiz score; Method: grade each quiz and count points earned; Units: points (0–10) Tests describing attribute under investigation in statistical study: what characteristic measured (height, sleep hours, preferences), how it was measured (instrument, survey, observation), and units of measurement (cm, hours, points, categories). Three elements: (1) attribute=characteristic investigated (height, age, number of pets, favorite subject—what about subjects being studied), (2) measurement method=how data collected (height: using measuring tape/stadiometer; sleep: survey asking students to report hours; preference: survey with multiple choices; scores: grading test), (3) units=measurement scale (quantitative: cm, hours, points, kg numerical units; qualitative: categories like Math/Science/English, colors, yes/no—categorical labels not numbers). All three needed: attribute tells what, method tells how, units tell scale (complete description of data collection). For example, in a study investigating "What scores did students earn on the 10-point vocabulary quiz?", attribute: quiz score (performance level), method: grade each quiz and count points earned (scoring process), units: points (0–10) (numerical scale). The correct description is choice A, which specifies the attribute as quiz score, the method as grading and counting points, and units as points (0–10). Errors include mismatched tools like measuring tape for questions (choice B), wrong attributes like vocabulary with hours (choice C), or swapped elements like attribute as 10 points and units as students (choice D). Describing requires precision: quantitative scores need a grading method and point units for clarity.
A science class investigates, "What is the temperature of the classroom at the start of class each day this week?" They use a thermometer and record the value. Which choice correctly describes the attribute, measurement method, and units?
Answer: Attribute: classroom temperature; Method: thermometer reading; Units: degrees Celsius ( $^\circ$ C) Tests describing attribute under investigation in statistical study: what characteristic measured (height, sleep hours, preferences), how it was measured (instrument, survey, observation), and units of measurement (cm, hours, points, categories). Three elements: (1) attribute=characteristic investigated (height, age, number of pets, favorite subject—what about subjects being studied), (2) measurement method=how data collected (height: using measuring tape/stadiometer; sleep: survey asking students to report hours; preference: survey with multiple choices; scores: grading test), (3) units=measurement scale (quantitative: cm, hours, points, kg numerical units; qualitative: categories like Math/Science/English, colors, yes/no—categorical labels not numbers). All three needed: attribute tells what, method tells how, units tell scale (complete description of data collection). For example, study investigating "What is the temperature of the classroom?", attribute: classroom temperature (environmental characteristic), method: thermometer reading (instrument and process), units: degrees Celsius (°C, could be Fahrenheit alternatively); or "How many hours sleep?", attribute: sleep duration, method: survey, units: hours. The correct three-element description is choice A: Attribute: classroom temperature; Method: thermometer reading; Units: degrees Celsius (°C). Errors like in B (elements conflated, attribute as 'thermometer' tool not characteristic), C (attribute wrong as start time instead of temp), or D (method inappropriate as survey for temp, units wrong as points). Describing: (1) identify attribute (what specific characteristic? temperature not 'warmth'—precise), (2) describe method (how collected? instrument like thermometer), (3) state units (quantitative numerical: °C). All three essential: without units (numerical values ambiguous—20 what? °C or °F?).
A student council wants to know: "What is the favorite school subject of 6th graders?" They ask each student to choose one subject from a list (Math, Science, English, Social Studies, PE, Art). Which choice correctly identifies the attribute under investigation?
Answer: The favorite school subject of each student Tests describing attribute under investigation in statistical study: what characteristic measured (height, sleep hours, preferences), how it was measured (instrument, survey, observation), and units of measurement (cm, hours, points, categories). Three elements: (1) attribute=characteristic investigated (height, age, number of pets, favorite subject—what about subjects being studied), (2) measurement method=how data collected (height: using measuring tape/stadiometer; sleep: survey asking students to report hours; preference: survey with multiple choices; scores: grading test), (3) units=measurement scale (quantitative: cm, hours, points, kg numerical units; qualitative: categories like Math/Science/English, colors, yes/no—categorical labels not numbers). All three needed: attribute tells what, method tells how, units tell scale (complete description of data collection). Example: study investigating 'What is the favorite school subject of 6th graders?', attribute: favorite school subject (preference characteristic), method: survey asking students to choose one from a list (Math, Science, English, Social Studies, PE, Art), units: categories (subject names, qualitative). Correct three-element description identifies the attribute as the favorite school subject of each student. Error like attribute vague (just 'students' not specific what about them), method missing (doesn't explain how measured), units omitted (height without cm), wrong units (categorical data with numerical units or vice versa), method inappropriate (survey for height when physical measurement needed), or incomplete (provides two of three elements, missing one). Describing: (1) identify attribute (what specific characteristic? height not 'tallness,' sleep duration not 'sleepiness'—precise), (2) describe method (how collected? physical measurement with instrument name ruler/scale/thermometer, survey question with response format, observation with criteria, grading with scoring rubric), (3) state units (quantitative numerical: cm, hours, points, dollars with unit; qualitative categorical: list categories or 'categorical'). Quantitative attributes: measured with numbers (height cm, age years, score points, temperature °C), instruments or counting. Qualitative: measured with categories (favorite subject, eye color, yes/no), surveys or observation. All three essential: without attribute (don't know what studied), without method (don't know how measured—replicability unclear), without units (numerical values ambiguous—72 what? cm? inches?). Mistakes: vague attributes, methods not specific enough, units missing or wrong type, conflating elements.
A PE teacher investigates: "How far can each student jump in a standing long jump?" Which choice correctly describes the attribute, method, and units?
Answer: Attribute: jump distance; Method: use a measuring tape from the start line to the landing point; Units: centimeters Tests describing attribute under investigation in statistical study: what characteristic measured (height, sleep hours, preferences), how it was measured (instrument, survey, observation), and units of measurement (cm, hours, points, categories). Three elements: (1) attribute=characteristic investigated (height, age, number of pets, favorite subject—what about subjects being studied), (2) measurement method=how data collected (height: using measuring tape/stadiometer; sleep: survey asking students to report hours; preference: survey with multiple choices; scores: grading test), (3) units=measurement scale (quantitative: cm, hours, points, kg numerical units; qualitative: categories like Math/Science/English, colors, yes/no—categorical labels not numbers). All three needed: attribute tells what, method tells how, units tell scale (complete description of data collection). For example, in a study investigating "How far can each student jump in a standing long jump?", attribute: jump distance (length of jump), method: use a measuring tape from the start line to the landing point (measurement process), units: centimeters (length unit). The correct description is choice A, which states the attribute as jump distance, the method as using a measuring tape to the landing point, and units as centimeters. Errors include mismatched tools like stopwatch for distance (choice B), vague attributes like 'jumping' with points (choice C), or swapped elements like method as centimeters and units as tape (choice D). Quantitative physical attributes require precise tools and units for valid comparisons.
A science group asks: "What is the temperature of the classroom at the start of each period?" They read a classroom thermometer each time. Which choice correctly describes the units for the attribute being measured?
Answer: Degrees Celsius ( $^\circ$ C) Tests describing attribute under investigation in statistical study: what characteristic measured (height, sleep hours, preferences), how it was measured (instrument, survey, observation), and units of measurement (cm, hours, points, categories). Three elements: (1) attribute=characteristic investigated (height, age, number of pets, favorite subject—what about subjects being studied), (2) measurement method=how data collected (height: using measuring tape/stadiometer; sleep: survey asking students to report hours; preference: survey with multiple choices; scores: grading test), (3) units=measurement scale (quantitative: cm, hours, points, kg numerical units; qualitative: categories like Math/Science/English, colors, yes/no—categorical labels not numbers). All three needed: attribute tells what, method tells how, units tell scale (complete description of data collection). Example: study investigating 'What is the temperature of the classroom at the start of each period?', attribute: classroom temperature (thermal characteristic), method: reading a classroom thermometer each time (instrument-based measurement), units: degrees Celsius (°C) (temperature unit for quantitative data). Correct three-element description includes units as degrees Celsius (°C) for temperature readings. Error like attribute vague (just 'students' not specific what about them), method missing (doesn't explain how measured), units omitted (height without cm), wrong units (categorical data with numerical units or vice versa), method inappropriate (survey for height when physical measurement needed), or incomplete (provides two of three elements, missing one). Describing: (1) identify attribute (what specific characteristic? height not 'tallness,' sleep duration not 'sleepiness'—precise), (2) describe method (how collected? physical measurement with instrument name ruler/scale/thermometer, survey question with response format, observation with criteria, grading with scoring rubric), (3) state units (quantitative numerical: cm, hours, points, dollars with unit; qualitative categorical: list categories or 'categorical'). Quantitative attributes: measured with numbers (height cm, age years, score points, temperature °C), instruments or counting. Qualitative: measured with categories (favorite subject, eye color, yes/no), surveys or observation. All three essential: without attribute (don't know what studied), without method (don't know how measured—replicability unclear), without units (numerical values ambiguous—72 what? cm? inches?). Mistakes: vague attributes, methods not specific enough, units missing or wrong type, conflating elements.
To answer the question "How tall are the 6th graders in our school?", a teacher has each student stand against a wall and measures from the floor to the top of the head using a measuring tape. What are the units of measurement for the data collected?
Answer: Centimeters (cm) Tests describing attribute under investigation in statistical study: what characteristic measured (height, sleep hours, preferences), how it was measured (instrument, survey, observation), and units of measurement (cm, hours, points, categories). Three elements: (1) attribute=characteristic investigated (height, age, number of pets, favorite subject—what about subjects being studied), (2) measurement method=how data collected (height: using measuring tape/stadiometer; sleep: survey asking students to report hours; preference: survey with multiple choices; scores: grading test), (3) units=measurement scale (quantitative: cm, hours, points, kg numerical units; qualitative: categories like Math/Science/English, colors, yes/no—categorical labels not numbers). All three needed: attribute tells what, method tells how, units tell scale (complete description of data collection). Example: study investigating 'How tall are 6th graders?', attribute: height (physical characteristic), method: measured using measuring tape against wall reading to nearest centimeter (instrument and process), units: centimeters (length unit, could be inches alternatively); or 'How many hours sleep?', attribute: sleep duration, method: survey question asking students to self-report typical nightly sleep hours, units: hours (time); or 'favorite subject?', attribute: subject preference, method: survey with choices (Math, Science, English, History, Art), units: categorical responses (not numerical—categories). Correct three-element description includes units as centimeters (cm) for height measurements. Error like attribute vague (just 'students' not specific what about them), method missing (doesn't explain how measured), units omitted (height without cm), wrong units (categorical data with numerical units or vice versa), method inappropriate (survey for height when physical measurement needed), or incomplete (provides two of three elements, missing one). Describing: (1) identify attribute (what specific characteristic? height not 'tallness,' sleep duration not 'sleepiness'—precise), (2) describe method (how collected? physical measurement with instrument name ruler/scale/thermometer, survey question with response format, observation with criteria, grading with scoring rubric), (3) state units (quantitative numerical: cm, hours, points, dollars with unit; qualitative categorical: list categories or 'categorical'). Quantitative attributes: measured with numbers (height cm, age years, score points, temperature °C), instruments or counting. Qualitative: measured with categories (favorite subject, eye color, yes/no), surveys or observation. All three essential: without attribute (don't know what studied), without method (don't know how measured—replicability unclear), without units (numerical values ambiguous—72 what? cm? inches?). Mistakes: vague attributes, methods not specific enough, units missing or wrong type, conflating elements.
A class wants to study, "How long does it take students to finish a 20-piece puzzle?" Each student uses a stopwatch and records their time. Which choice correctly describes the attribute, method, and units?
Answer: Attribute: time to finish the puzzle; Method: stopwatch timing; Units: minutes Tests describing attribute under investigation in statistical study: what characteristic measured (height, sleep hours, preferences), how it was measured (instrument, survey, observation), and units of measurement (cm, hours, points, categories). Three elements: (1) attribute=characteristic investigated (height, age, number of pets, favorite subject—what about subjects being studied), (2) measurement method=how data collected (height: using measuring tape/stadiometer; sleep: survey asking students to report hours; preference: survey with multiple choices; scores: grading test), (3) units=measurement scale (quantitative: cm, hours, points, kg numerical units; qualitative: categories like Math/Science/English, colors, yes/no—categorical labels not numbers). All three needed: attribute tells what, method tells how, units tell scale (complete description of data collection). For example, study investigating "How long to finish a puzzle?", attribute: time to finish (duration), method: stopwatch timing (instrument), units: minutes (time); or "Puzzle difficulty?", attribute: difficulty perception, method: survey, units: categories (easy/hard). The correct three-element description is choice C: Attribute: time to finish the puzzle; Method: stopwatch timing; Units: minutes. Errors like in A (wrong attribute difficulty, qualitative units), B (attribute as pieces, not time), or D (elements conflated, attribute as tool). Describing: (1) identify attribute (what specific characteristic? time duration—precise), (2) describe method (how collected? timing with stopwatch), (3) state units (quantitative numerical: minutes). All three essential: without method (don't know how measured—replicability unclear).
A class investigates: "What is the favorite subject of students in Period 2?" Which description is correct?
Answer: Attribute: favorite subject; Method: survey asking students to choose (Math, Science, English, etc.); Units: categories (subject names) Tests describing attribute under investigation in statistical study: what characteristic measured (height, sleep hours, preferences), how it was measured (instrument, survey, observation), and units of measurement (cm, hours, points, categories). Three elements: (1) attribute=characteristic investigated (height, age, number of pets, favorite subject—what about subjects being studied), (2) measurement method=how data collected (height: using measuring tape/stadiometer; sleep: survey asking students to report hours; preference: survey with multiple choices; scores: grading test), (3) units=measurement scale (quantitative: cm, hours, points, kg numerical units; qualitative: categories like Math/Science/English, colors, yes/no—categorical labels not numbers). All three needed: attribute tells what, method tells how, units tell scale (complete description of data collection). For example, in a study investigating "What is the favorite subject of students in Period 2?", attribute: favorite subject (preference), method: survey asking students to choose (Math, Science, English, etc.) (questionnaire with options), units: categories (subject names) (qualitative labels). The correct description is choice C, which identifies the attribute as favorite subject, the method as a survey with choices, and units as categories. Mistakes include inappropriate methods like using a thermometer for preferences (choice A), wrong attributes like subject difficulty with quiz points (choice B), or irrelevant elements like 'Period 2' with centimeters (choice D). When describing qualitative attributes, use categorical units and survey methods; all three elements are essential for clarity. Remember, without proper units, data interpretation is ambiguous, especially for categories versus numbers.
A cafeteria manager studies: "How many apples are taken from the fruit basket each day?" Which choice correctly describes the attribute, method, and units?
Answer: Attribute: number of apples taken per day; Method: count how many apples are missing at the end of the day; Units: apples (a count) Tests describing attribute under investigation in statistical study: what characteristic measured (height, sleep hours, preferences), how it was measured (instrument, survey, observation), and units of measurement (cm, hours, points, categories). Three elements: (1) attribute=characteristic investigated (height, age, number of pets, favorite subject—what about subjects being studied), (2) measurement method=how data collected (height: using measuring tape/stadiometer; sleep: survey asking students to report hours; preference: survey with multiple choices; scores: grading test), (3) units=measurement scale (quantitative: cm, hours, points, kg numerical units; qualitative: categories like Math/Science/English, colors, yes/no—categorical labels not numbers). All three needed: attribute tells what, method tells how, units tell scale (complete description of data collection). For example, in a study investigating "How many apples are taken from the fruit basket each day?", attribute: number of apples taken per day (daily count), method: count how many apples are missing at the end of the day (observation and counting), units: apples (a count) (numerical count). The correct description is choice B, which details the attribute as number of apples taken per day, the method as counting missing apples, and units as apples (a count). Common errors include wrong attributes like apple type with taste-test categories (choice A), irrelevant methods like rulers for apples (choice C), or vague elements like attribute as fruit basket with units as counting (choice D). Counts are quantitative and use observation methods with count units for simplicity.
A coach asks, "How fast can each student run 50 meters?" Which choice correctly describes the attribute, measurement method, and units?
Answer: Attribute: running time for 50 meters; Method: use a stopwatch to time each run; Units: seconds Tests describing attribute under investigation in statistical study: what characteristic measured (height, sleep hours, preferences), how it was measured (instrument, survey, observation), and units of measurement (cm, hours, points, categories). Three elements: (1) attribute=characteristic investigated (height, age, number of pets, favorite subject—what about subjects being studied), (2) measurement method=how data collected (height: using measuring tape/stadiometer; sleep: survey asking students to report hours; preference: survey with multiple choices; scores: grading test), (3) units=measurement scale (quantitative: cm, hours, points, kg numerical units; qualitative: categories like Math/Science/English, colors, yes/no—categorical labels not numbers). All three needed: attribute tells what, method tells how, units tell scale (complete description of data collection). For example, in a study investigating "How fast can each student run 50 meters?", attribute: running time for 50 meters (speed via time), method: use a stopwatch to time each run (timing instrument), units: seconds (time unit). The correct description is choice A, which specifies the attribute as running time for 50 meters, the method as using a stopwatch, and units as seconds. Errors include wrong attributes like running speed with mismatched method and units (choice B), incomplete details like attribute as '50 meters' with units as meters instead of time (choice C), or vague elements like attribute as 'students' with no units (choice D). When describing, (1) identify attribute specifically (running time, not just speed), (2) describe method with tool and process (stopwatch timing), (3) state units matching the attribute (seconds for time). Quantitative attributes like running time require numerical units and appropriate instruments for accurate measurement.
A 6th-grade teacher asks, "How many hours of sleep did each student get last night?" Students write their answer on a class survey. Which choice correctly describes the attribute under investigation, how it was measured, and the units?
Answer: Attribute: sleep duration last night; Method: students report on a survey; Units: hours Tests describing attribute under investigation in statistical study: what characteristic measured (height, sleep hours, preferences), how it was measured (instrument, survey, observation), and units of measurement (cm, hours, points, categories). Three elements: (1) attribute=characteristic investigated (height, age, number of pets, favorite subject—what about subjects being studied), (2) measurement method=how data collected (height: using measuring tape/stadiometer; sleep: survey asking students to report hours; preference: survey with multiple choices; scores: grading test), (3) units=measurement scale (quantitative: cm, hours, points, kg numerical units; qualitative: categories like Math/Science/English, colors, yes/no—categorical labels not numbers). All three needed: attribute tells what, method tells how, units tell scale (complete description of data collection). For example, in a study investigating "How many hours of sleep did each student get last night?", attribute: sleep duration last night (time characteristic), method: students self-report on a survey (survey process), units: hours (time unit); or "How tall are 6th graders?", attribute: height, method: measuring tape, units: centimeters. The correct three-element description is choice B: Attribute: sleep duration last night; Method: students report on a survey; Units: hours. Errors like in A (attribute vague as 'students' not specific, method wrong as asking teacher instead of students), C (method inappropriate using ruler for sleep, units wrong as cm), or D (elements conflated, attribute as 'hours' instead of sleep duration). Describing: (1) identify attribute (what specific characteristic? sleep duration not 'sleepiness'—precise), (2) describe method (how collected? survey with self-report), (3) state units (quantitative numerical: hours). All three essential: without attribute (don't know what studied), without method (replicability unclear), without units (values ambiguous).
A nurse measures: "How much does each 6th grader's backpack weigh?" Which choice correctly gives the attribute, method, and units?
Answer: Attribute: backpack weight; Method: use a scale; Units: kilograms Tests describing attribute under investigation in statistical study: what characteristic measured (height, sleep hours, preferences), how it was measured (instrument, survey, observation), and units of measurement (cm, hours, points, categories). Three elements: (1) attribute=characteristic investigated (height, age, number of pets, favorite subject—what about subjects being studied), (2) measurement method=how data collected (height: using measuring tape/stadiometer; sleep: survey asking students to report hours; preference: survey with multiple choices; scores: grading test), (3) units=measurement scale (quantitative: cm, hours, points, kg numerical units; qualitative: categories like Math/Science/English, colors, yes/no—categorical labels not numbers). All three needed: attribute tells what, method tells how, units tell scale (complete description of data collection). For example, in a study investigating "How much does each 6th grader's backpack weigh?", attribute: backpack weight (mass), method: use a scale (weighing instrument), units: kilograms (mass unit). The correct description is choice A, which states the attribute as backpack weight, the method as using a scale, and units as kilograms. Errors involve mismatched units like hours for size estimates (choice B), vague attributes like 'backpacks' with points (choice C), or swapped elements like method as kilograms and units as scale (choice D). To describe accurately, specify quantitative attributes with numerical units and precise methods; omitting any element makes the description incomplete.
A coach wants to find out, "How fast can each student run 50 meters?" The coach times each student running and records the result. What are the units of measurement for this study?
Answer: Seconds Tests describing attribute under investigation in statistical study: what characteristic measured (height, sleep hours, preferences), how it was measured (instrument, survey, observation), and units of measurement (cm, hours, points, categories). Three elements: (1) attribute=characteristic investigated (height, age, number of pets, favorite subject—what about subjects being studied), (2) measurement method=how data collected (height: using measuring tape/stadiometer; sleep: survey asking students to report hours; preference: survey with multiple choices; scores: grading test), (3) units=measurement scale (quantitative: cm, hours, points, kg numerical units; qualitative: categories like Math/Science/English, colors, yes/no—categorical labels not numbers). All three needed: attribute tells what, method tells how, units tell scale (complete description of data collection). For example, in a study investigating "How fast can each student run 50 meters?", attribute: running speed (time to run distance), method: timing with a stopwatch (instrument and process), units: seconds (time unit, could be minutes alternatively); or "How many hours sleep?", attribute: sleep duration, method: survey, units: hours. The correct units are seconds, as the attribute is time taken to run, measured in seconds for precision. Errors like choosing meters (which measures distance, not time), points (for scores, not time), or categories (qualitative, but this is quantitative time measurement). Describing: (1) identify attribute (what specific characteristic? running time not 'speediness'—precise), (2) describe method (how collected? timing with stopwatch), (3) state units (quantitative numerical: seconds with unit). Quantitative attributes: measured with numbers (time in seconds, distance in meters), instruments or timing.

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