CMAS CMAS Data Interpretation and Analysis 1 — Questions and Answers
Question 1: A bar graph shows that 120 students chose soccer and 80 students chose basketball as their favorite sport. How many more students chose soccer than basketball?
- 20
- 40 (Correct answer)
- 50
- 200
Correct answer: 40
120 – 80 = 40, so 40 more students chose soccer than basketball.
Question 2: A line graph shows a steady increase in temperature from 60°F on Monday to 90°F on Friday. What is the average daily temperature increase?
- 6°F per day
- 7.5°F per day (Correct answer)
- 10°F per day
- 30°F per day
Correct answer: 7.5°F per day
The total increase is 90 – 60 = 30°F over 4 days (Mon to Fri), so 30 ÷ 4 = 7.5°F per day.
Question 3: In a pie chart, one sector represents 25% of the total. If the total is 200 students, how many students does that sector represent?
- 25
- 50 (Correct answer)
- 75
- 100
Correct answer: 50
25% of 200 = 0.25 × 200 = 50 students.
Question 4: A stem-and-leaf plot shows the following data: stem 4 with leaves 2, 5, 8 and stem 5 with leaves 1, 3. What is the median of this data set?
- 45
- 48 (Correct answer)
- 51
- 53
Correct answer: 48
The ordered data set is 42, 45, 48, 51, 53; the median (middle value) of 5 values is the 3rd value: 48.
Question 5: Which measure of central tendency is most affected by an extreme outlier in a data set?
- Mode
- Median
- Mean (Correct answer)
- Range
Correct answer: Mean
The mean is calculated using all values, so a very large or small outlier will pull it significantly away from the center of the other data.
Question 6: A table shows that a plant grew 2 cm in week 1, 4 cm in week 2, 6 cm in week 3, and 8 cm in week 4. What type of pattern does this represent?
- Random variation
- Exponential growth
- Linear (arithmetic) pattern (Correct answer)
- Decreasing pattern
Correct answer: Linear (arithmetic) pattern
The growth increases by a constant 2 cm each week, which is a linear (arithmetic) pattern.
CMAS CMAS Data Interpretation and Analysis 1
A bar graph shows that 120 students chose soccer and 80 students chose basketball as their favorite sport.
How many more students chose soccer than basketball?