CAASPP Data Analysis 2 — Questions and Answers
Question 1: A scatter plot shows points clustered tightly around a line going from lower-left to upper-right. What does this indicate?
- A strong negative correlation
- A strong positive correlation (Correct answer)
- No correlation
- A nonlinear relationship
Correct answer: A strong positive correlation
Points clustered tightly around an upward-sloping line indicate a strong positive correlation between the two variables.
Question 2: A data set has values: 4, 7, 7, 9, 13. What is the median?
- 7 (Correct answer)
- 8
- 9
- 6
Correct answer: 7
With 5 ordered values, the median is the middle (3rd) value, which is 7.
Question 3: Which measure of center is most affected by an outlier in a data set?
- Median
- Mode
- Mean (Correct answer)
- Range
Correct answer: Mean
The mean uses all values in its calculation, so a very large or small outlier pulls it significantly.
Question 4: A box plot shows a box from 20 to 40, with a median line at 30 and whiskers from 10 to 50. What is the interquartile range (IQR)?
- 40
- 20 (Correct answer)
- 10
- 30
Correct answer: 20
The IQR is Q3 minus Q1, which equals 40 − 20 = 20.
Question 5: In a frequency table, the relative frequency of an event is calculated by dividing the event's frequency by what?
- The highest frequency
- The number of categories
- The total number of observations (Correct answer)
- The lowest frequency
Correct answer: The total number of observations
Relative frequency = (frequency of the event) ÷ (total number of observations).
Question 6: A line graph shows a city's population rising steadily from 2000 to 2020. Which prediction is best supported by the graph?
- The population will decrease after 2020
- The population will likely continue rising past 2020 (Correct answer)
- The population stayed constant before 2000
- The population doubled every year
Correct answer: The population will likely continue rising past 2020
A steady upward trend provides the best support for predicting continued growth, assuming the trend holds.
Question 7: Two data sets each have a mean of 50, but Set A has a larger standard deviation than Set B. What does this mean?
- Set A has higher values overall
- Set A's data is more spread out from the mean (Correct answer)
- Set B has more data points
- Set A has a higher median
Correct answer: Set A's data is more spread out from the mean
A larger standard deviation indicates that the values in Set A are more spread out (vary more) from the mean.
CAASPP Data Analysis 2
A scatter plot shows points clustered tightly around a line going from lower-left to upper-right.
What does this indicate?