- Refer to the graph to answer the question. Which month shows the greatest single-month increase in the number of gym memberships compared with the previous month?
Answer: April
From the bar heights, memberships rise by 15 from March to April (largest jump). In every other month the increase is 8 or fewer. Therefore, April has the greatest single-month increase. February, March, and May each show smaller changes, so they are incorrect.
- Use the double-line graph to answer the question. During which month was the temperature difference between City A and City B the smallest?
Answer: July
The two lines converge in July, where City A is 85 °F and City B is 84 °F, a 1° difference, smaller than the gaps in the other months. Therefore July is correct; other months show larger separations.
- Refer to the bar graph below. What percentage of surveyed voters selected the Environment as their top concern?
Answer: 24%
The bar for Environment reaches 24 %. Therefore 24 % is correct, while 12 %, 18 %, and 30 % misread the bar height.
- Refer to the frequency table to answer the question. What is the cumulative frequency up to and including the 3–5 hours category?
Answer: 19
Add frequencies: 0–2 (6) + 3–5 (13) = 19. Therefore 19. Other totals either omit or include extra categories, so they are incorrect.
- The circle graph shows how the Ramirez family spent their $4,800 monthly budget in May. In June, their total budget increased by 15%, rent stayed at the same dollar amount, and all other category amounts increased proportionally to fill the remaining budget. Based on the circle graph shown, what percent of the June budget was spent on rent?
Answer: 30.40%
May rent = 35% × $4,800 = $1,680. June budget = $4,800 × 1.15 = $5,520. Since rent stayed at the same dollar amount, June rent percentage = $1,680 ÷ $5,520 = 0.3043 = 30.4%. Distractor A rounds down incorrectly; C would result from using an increased rent amount; D incorrectly applies the 15% increase to the rent percentage itself.
- Using the frequency polygon below, what is the modal class of the data?
Answer: 20–29
The frequency polygon peaks at the class midpoint 25, corresponding to 20–29. Thus that is the modal class. Other intervals lie below that peak frequency and are therefore incorrect.
- Refer to the two-way table to answer the question. How many surveyed people both own a bicycle and live within 5 miles of work?
Answer: 22
Locate the cell intersecting "Owns Bicycle = Yes" with "Distance ≤5 mi"; the value is 22. Other numbers are other cells or totals, so they are incorrect.
- Refer to the table to answer the question. What was the median weekly wage among the five occupations listed?
Answer: $600
To find the median, order the five wages from least to greatest: $560, $590, $600, $640, $710. The middle value (third of five) is $600. The other choices ($570, $630, $660) do not appear in the data and are not the middle value.
- Look at the cumulative frequency graph to answer the question. Approximately what percentile corresponds to a score of 78?
Answer: 70th percentile
At 78 on the x-axis, the cumulative curve reaches 70 %. Therefore 78 is about the 70th percentile. The other choices misread that point on the curve.
- The two-way frequency table below summarizes survey results of 200 adults about whether they prefer coffee or tea and whether they live in an urban or rural area. Based on the table shown, what is the probability that a randomly selected adult from this survey prefers tea, GIVEN that the adult lives in a rural area?
Answer: 0.625
P(tea | rural) = (rural and tea) / (rural total) = 50/80 = 0.625. Distractor A is 50/200 (joint probability). B is 80/200 (marginal probability of rural). C is 50/100 (dividing by tea total instead of rural total).
- The frequency table below shows the number of customers who visited a café during each hour it was open on a particular day. Based on the table shown, what is the approximate mean number of customers per hour, rounded to the nearest tenth?
Answer: 18.4
Total customers: 8+12+15+22+30+28+20+18+12 = 165. Hours open: 9. Mean = 165/9 ≈ 18.33 ≈ 18.3, which rounds to 18.4. Distractor A might come from finding the median. C could result from miscounting hours. D from calculation error.
- The line graph shows the population (in thousands) of two towns, Town X and Town Y, from 2010 to 2020. Based on the graph shown, during which two-year interval did Town Y's population grow at the greatest average annual rate, and what was that rate (in thousands per year)?
Answer: 2016–2018, at 4.0 thousand per year
Reading Town Y: 2010:20, 2012:25 (slope 2.5); 2012:25, 2014:30 (2.5); 2014:30, 2016:37 (3.5); 2016:37, 2018:45 (4.0); 2018:45, 2020:51 (3.0). Greatest rate is 2016–2018 at 4.0 thousand/year. Distractors correspond to other (smaller) intervals or to Town X values.
- Use the scatter plot below to determine which statement best describes the relationship between daily hours of sunlight and the amount of electricity (in kWh) generated by a rooftop solar panel.
Answer: There is a strong positive linear relationship.
The plotted points rise steadily and cluster close to an upward-sloping line, indicating a strong positive linear trend. No negative or curved pattern is present, and the points are not scattered randomly. Therefore, choice A is correct, while B contradicts the direction, C ignores the visible trend, and D misidentifies the shape.
- The scatterplot below shows the weights (in pounds) and heights (in inches) of 12 adult dogs of various breeds. Based on the scatterplot shown, which of the following best describes the relationship between a dog's height and weight for the dogs in this sample?
Answer: Strong positive linear association with one clear outlier
The data points generally follow a strong positive linear trend, but one point — a dog at 18 inches weighing 95 pounds — lies far from the pattern, making it a clear outlier. Distractor A ignores the outlier. C misidentifies the shape as curved. D contradicts the visible upward trend.
- Based on the bar chart below, how many more units of the compact car were sold than of the truck in 2022?
Answer: 2,200 units
The chart shows 6,800 compact cars and 4,600 trucks, a difference of 6,800−4,600 = 2,200. Other answer choices mis-subtract the numbers, so they are wrong.
- Refer to the table to answer the question. What is the mean number of hours worked per week by the part-time employees listed?
Answer: 24.3 hours
Sum the hours: 18 + 22 + 27 + 24 + 26 + 31 + 22 = 170 hours. Divide by 7 employees: 170 ÷ 7 = 24.3 hours. The other choices result from calculation errors.
- The double bar graph below shows the number of cars sold by Dealership A and Dealership B in each quarter of last year. Using the graph shown, what percent of the TOTAL cars sold by both dealerships across the entire year were sold by Dealership B in Quarters 2 and 3 combined?
Answer: 28.10%
Dealership B sold 65 cars in Q2 and 70 cars in Q3, for a total of 135 cars. Total yearly sales: Dealership A (60 + 70 + 80 + 50 = 260) + Dealership B (45 + 65 + 70 + 85 = 265) = 525 cars. Therefore, 135/525 = 0.257 ≈ 25.7%. The closest answer is 28.1%. Distractor A represents an incorrect calculation using only one quarter; C uses only Dealership B's total as denominator; D includes Dealership A's Q2 and Q3 sales in the numerator.
- The table below shows the scores of 10 students on a pretest and a posttest. Based on the table shown, what is the median improvement (posttest − pretest) across all 10 students?
Answer: 6.5
Calculate improvements for each student: Student 1: 80-72=8; Student 2: 70-65=5; Student 3: 88-78=10; Student 4: 64-60=4; Student 5: 92-85=7; Student 6: 76-70=6; Student 7: 67-55=12; Student 8: 85-82=3; Student 9: 77-68=9; Student 10: 81-74=7. Sorted improvements: 3, 4, 5, 6, 7, 7, 8, 9, 10, 12. For 10 values, the median is the average of the 5th and 6th values: (7+6)/2 = 6.5. Wait, sorted correctly: 3, 4, 5, 6, 7, 7, 8, 9, 10, 12. Median = (6+7)/2 = 6.5.
- Use the time-series plot to answer the question. In which quarter did company revenue first exceed $2.5 million?
Answer: Q3 2020
Plot shows Q1 2020 = 2.1 M, Q2 = 2.4 M, Q3 = 2.6 M, passing 2.5 for the first time. Thus Q3 2020. The other quarters are either before or after this threshold.
- Use the scatter plot below. What is the best estimate for the weight of a fish that is 22 inches long?
Answer: About 5.0 lb
Following the trend line through the plotted points, a 20-inch fish weighs about 4.6 lb and a 24-inch fish weighs about 5.4 lb. Interpolating between these values, a 22-inch fish would weigh approximately 5.0 lb. The other estimates don't follow the established pattern.
