CAASPP Data Analysis 5

Question 1

A back-to-back stem-and-leaf plot compares scores for two classes. Class A has more leaves on the higher stems than Class B. What can you conclude?

Accepted Answer

Class A scored higher overall

Answer

More leaves on higher stems means more high scores, so Class A generally scored higher.

Question 2

Data set A: 10, 10, 10, 10, 10. Data set B: 2, 7, 10, 13, 18. Both have a mean of 10. How do their standard deviations compare?

Accepted Answer

Set B has a larger standard deviation

Answer

Set A has zero variation (all values equal the mean), while Set B's values vary, giving it a larger standard deviation.

Question 3

A survey finds that students who sleep more hours tend to score higher on tests. This is an example of what type of relationship?

Accepted Answer

A positive correlation

Answer

When both variables increase together (more sleep → higher scores), the relationship is a positive correlation.

Question 4

In a data set with values 3, 5, 5, 7, 9, 11, what is the mean absolute deviation (MAD) if the mean is 6.67?

Accepted Answer

2.22

Answer

The absolute deviations are 3.67, 1.67, 1.67, 0.33, 2.33, 4.33; their average ≈ 2.22.

Question 5

A teacher displays quiz grades on a dot plot. The plot is skewed right. What does this tell you about most students' grades?

Accepted Answer

Most grades are low to moderate, with a few very high outliers

Answer

A right skew means the tail extends toward higher values, so most data is clustered at the lower end with a few high outliers.

CAASPP - California Assessment of Student Performance and Progress Practice Test