9
QuizMultiple Choice

Box Plots — Quiz

Question 9 • Concepts in Probability and Statistics

Which box plot correctly displays the data set with a maximum of 48, a minimum of 27, a median of 36, an upper quartile of 45, and a lower quartile of 32?

Answer
A
Image with description A box plot has a number line that goes from 25 to 50 by ones. The endpoint for its left whisker is at 27. The left side of its box is at 32. A vertical segment through the box is at 36. The right side of its box is at 45. The endpoint for its right whisker is at 46.
B
Image with description A box plot has a number line that goes from 25 to 50 by ones. The endpoint for its left whisker is at 27. The left side of its box is at 31. A vertical segment through the box is at 36. The right side of its box is at 39. The endpoint for its right whisker is at 46.
C
Image with description A box plot has a number line that goes from 25 to 50 by ones. The endpoint for its left whisker is at 27. The left side of its box is at 31. A vertical segment through the box is at 36. The right side of its box is at 39. The endpoint for its right whisker is at 48.
D
Image with description A box plot has a number line that goes from 25 to 50 by ones. The endpoint for its left whisker is at 27. The left side of its box is at 32. A vertical segment through the box is at 36. The right side of its box is at 45. The endpoint for its right whisker is at 48.

Explanation

A box plot shows the minimum and maximum at the whisker endpoints, and the lower quartile, median, and upper quartile at the left edge, center line, and right edge of the box. The required values are 27, 32, 36, 45, and 48, respectively. Choice D places each value in the correct position.

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