Describe Attribute Under Investigation
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6th Grade Math › Describe Attribute Under Investigation
A 6th-grade class is doing a study to answer: “How many hours of sleep did students get last night?” Students write their answers on a survey form. Which choice correctly describes the attribute under investigation, how it was measured, and the units?
Attribute: students in the class; Measured by counting students; Units: students
Attribute: sleep duration last night; Measured by looking at students’ grades; Units: points
Attribute: hours; Measured with a ruler; Units: centimeters
Attribute: sleep duration last night; Measured by a survey where students report their sleep; Units: hours
Explanation
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 hours of sleep did students get last night?”, attribute: sleep duration last night (characteristic of time spent sleeping), method: measured using a survey where students report their sleep (self-reported via writing answers), units: hours (time unit for quantitative data). Correct three-element description is choice B, which specifies the attribute as sleep duration last night, measured by a survey where students report their sleep, and units as hours. 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 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?
Attribute: 6th graders; Method: ask teachers to guess; Units: points
Attribute: number of hours of sleep per student; Method: students answer a survey question about last night’s sleep; Units: hours
Attribute: school night; Method: measured in hours; Units: survey
Attribute: sleep; Method: measure with a ruler; Units: centimeters
Explanation
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 do 6th graders get on a school night?”, attribute: number of hours of sleep per student (daily rest duration), method: students answer a survey question about last night’s sleep (self-reported via questionnaire), units: hours (time measurement). The correct description is choice B, which precisely identifies the attribute as number of hours of sleep per student, the method as a survey question about last night’s sleep, and units as hours. Common errors include mismatched methods like using a ruler for sleep (choice A), vague attributes like just '6th graders' without specifying sleep (choice C), or confusing elements like listing 'school night' as attribute and 'survey' as units (choice D). When describing, (1) identify attribute precisely (sleep hours, not vaguely 'sleep'), (2) describe method specifically (survey with question details, not just 'ask'), (3) state units accurately (hours for time, not points or categories). Quantitative attributes like sleep hours use numerical units, while all three elements ensure the study's data collection is fully replicable and clear.
A school librarian records how many books each 6th grader checked out in September by looking at the checkout system. Is the attribute under investigation quantitative or qualitative?
Quantitative, because it uses categories like fiction and nonfiction
Qualitative, because it is about books
Qualitative, because it uses a computer system
Quantitative, because it is a count (number of books)
Explanation
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 books checked out?”, attribute: number of books (count characteristic), method: checking records in system (observation of data), units: counts (numerical); or “Favorite genre?”, attribute: genre preference, method: survey, units: categories (fiction/nonfiction). The attribute is quantitative because it is a count (number of books), which is numerical data. Errors like A or C (misclassifying as qualitative due to topic or tool, but counts are quantitative), or D (confusing with categories, which are qualitative). Describing: (1) identify attribute (what specific characteristic? count of books—precise), (2) describe method (how collected? system records), (3) state units (quantitative numerical: whole numbers). Quantitative attributes: measured with numbers (counts, measurements), while qualitative use categories.
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?
Attribute: number of pets; Measured by weighing pets; Units: kilograms
Attribute: students; Measured by counting sticky notes; Units: points
Attribute: number of pets; Measured by asking students to report how many they have; Units: pets
Attribute: pet type; Measured by a ruler; Units: inches
Explanation
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 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?
Meters
Points
Seconds
Categories (fast/medium/slow)
Explanation
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.
A class collects data for two studies:
Study 1: “How many pets does each student have?” (students answer on a survey)
Study 2: “What is each student’s favorite subject?” (students choose from a list)
How do the units of Study 1 and Study 2 differ?
Study 1 uses categories; Study 2 uses centimeters
Study 1 uses counts (number of pets); Study 2 uses categories (subject names)
Study 1 uses degrees Celsius; Study 2 uses points
Both studies use hours as units
Explanation
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 1 “How many pets?”: attribute: pet count, method: survey, units: counts (numerical); Study 2 “Favorite subject?”: attribute: subject preference, method: survey, units: categories (qualitative). The units differ as Study 1 uses counts (number of pets, quantitative) and Study 2 uses categories (subject names, qualitative). Errors like A (both not hours), B (wrong units), or D (irrelevant units). Describing: (1) identify attribute, (2) describe method, (3) state units correctly for each study. Quantitative vs. qualitative units: numbers vs. categories.
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?
Study 1 uses categories (fruit names); Study 2 uses minutes
Both studies use points
Study 1 uses minutes; Study 2 uses categories
Both studies use centimeters
Explanation
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 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?
Count the number of cartons on the table
Use a graduated cylinder to measure the leftover milk volume
Use a ruler to measure the carton’s height in centimeters
Ask students which carton looks the fullest and record the category
Explanation
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 cafeteria manager studies: “How many apples are taken from the fruit basket each day?” Which choice correctly describes the attribute, method, and units?
Attribute: apple type; Method: taste-test; Units: categories
Attribute: fruit basket; Method: measured in apples; Units: counting
Attribute: apples; Method: measure with a ruler; Units: centimeters
Attribute: number of apples taken per day; Method: count how many apples are missing at the end of the day; Units: apples (a count)
Explanation
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?
Attribute: running speed; Method: ask students their favorite sport; Units: categories
Attribute: running time for 50 meters; Method: use a stopwatch to time each run; Units: seconds
Attribute: students; Method: time them; Units: none
Attribute: 50 meters; Method: use a stopwatch; Units: meters
Explanation
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.