AP Stats Data Visualization and Interpretation 3

Question 1

A histogram of household incomes is strongly right-skewed. Which measure of center best describes the typical household income?

Accepted Answer

Median, because it is resistant to extreme values.

Answer

The median is resistant to the extreme high values that pull the mean upward in right-skewed distributions.

Question 2

In a scatterplot, a cluster of points forms a pattern that curves upward and then levels off. The relationship between x and y is best described as:

Accepted Answer

Non-linear.

Answer

A curved (not straight-line) pattern in a scatterplot indicates a non-linear relationship.

Question 3

A stemplot of exam scores has stems 5, 6, 7, 8, 9 with stem 7 having the most leaves. This indicates that the distribution is:

Accepted Answer

Roughly symmetric or unimodal with center near 70.

Answer

The stem with the most leaves represents the most common values, placing the center of the distribution near 70.

Question 4

Which of the following best describes the purpose of a residual plot in regression analysis?

Accepted Answer

To check whether a linear model is appropriate for the data.

Answer

A residual plot showing random scatter around zero supports a linear model; patterns suggest non-linearity.

Question 5

A pie chart shows that 40% of survey respondents prefer Brand A, 35% prefer Brand B, and 25% prefer Brand C. Which limitation does this pie chart have compared to a bar chart?

Accepted Answer

Pie charts make it harder to compare similar-sized slices precisely.

Answer

Humans have difficulty judging angles and areas accurately, making precise comparisons between similar-sized pie slices difficult.

AP Practice Test

AP Practice Test

AP Stats Data Visualization and Interpretation 3