CAASPP Data Analysis 3 — Questions and Answers
Question 1: A survey asked 200 students their favorite sport. 80 chose soccer. What is the relative frequency for soccer?
- 0.25
- 0.40 (Correct answer)
- 0.80
- 0.50
Correct answer: 0.40
80 ÷ 200 = 0.40, so the relative frequency for soccer is 0.40 (or 40%).
Question 2: A histogram has bars of heights 3, 7, 12, 8, and 5 for intervals 0–10, 10–20, 20–30, 30–40, and 40–50. In which interval do most data values fall?
- 0–10
- 10–20
- 20–30 (Correct answer)
- 30–40
Correct answer: 20–30
The tallest bar (height 12) corresponds to the 20–30 interval, meaning the most data values fall there.
Question 3: Which statement about a data set with a symmetric, bell-shaped distribution is true?
- The mean is greater than the median
- The mean, median, and mode are approximately equal (Correct answer)
- The median is greater than the mean
- The mode is always at the far left
Correct answer: The mean, median, and mode are approximately equal
In a perfectly symmetric bell-shaped (normal) distribution, the mean, median, and mode are all equal.
Question 4: A two-way table shows data for 100 students by grade (7th/8th) and whether they own a pet (yes/no). If 40 are 7th graders and 25 of them own a pet, what fraction of 7th graders own a pet?
- 1/4
- 1/2
- 5/8 (Correct answer)
- 2/5
Correct answer: 5/8
25 out of 40 seventh graders own a pet: 25/40 = 5/8.
Question 5: Which graph type is best suited for showing how a quantity changes over time?
- Bar graph
- Pie chart
- Line graph (Correct answer)
- Dot plot
Correct answer: Line graph
Line graphs are specifically designed to display changes in a quantity over continuous time intervals.
Question 6: A data set is: 2, 5, 6, 6, 8, 9, 100. Which measure of center best represents the typical value?
- Mean
- Median (Correct answer)
- Mode
- Range
Correct answer: Median
The outlier 100 greatly inflates the mean, so the median (6) better represents the typical value.
Question 7: On a dot plot, each dot represents one data value. If a category has 6 dots and the total is 24, what percentage of the data does that category represent?
- 6%
- 18%
- 25% (Correct answer)
- 30%
Correct answer: 25%
6 ÷ 24 = 0.25, which equals 25%.
CAASPP Data Analysis 3
A survey asked 200 students their favorite sport. 80 chose soccer.
What is the relative frequency for soccer?