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AP Statistics 1.9 B Compare Multiple Quantitative One Variable Graphical Representations of Summary Statistics Questions

Practise comparing quantitative distributions from stemplots and five-number summaries, focusing on centre, range, IQR, standard deviation, and variance.

Syllabus
Effective Fall 2026
Course
AP Statistics

Exam points

  • Read back-to-back stemplots to compare range, standard deviation and variance between groups.
  • Use five-number summaries and medians to compare spread and proportions below a threshold.

AP Statistics 1.9 B Compare Multiple Quantitative One Variable Graphical Representations of Summary Statistics Questions question 1

[Maximum number: 1]

Consider the following back-to-back stemplot: \begin{tabular}{r|l|ll}
& 0 & 348 & Key: 2|5| 6 represents \\
1 & 01256 & a value of 52 on the left \\
843 & 2 & 29 & and 56 on the right \\
65210 & 3 & 2557 & \\
92 & 4 & & \\
7552 & 5 & 6 & \\
6 & 6 & 1458 & \\
6 & 7 & 09 & \\
8541 & 8 & & \\
90 & 9 & &
\end{tabular} Which of the following is a correct statement?

A

The distributions have the same mean.

B

The distributions have the same median.

C

The interquartile range of the distribution to the left is 20 greater than the interquartile range of the distribution to the right.

D

The distributions have the same variance.

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