Question

Which box-and-whisker plot matches the data?

23, 32, 20, 13, 27, 36, 29, 38, 23, 15, 30, 18
A. A box-and-whisker plot is shown above a number line that spans from 10 to 40. It is marked in increments of 2.The box extends from between 18 and 20 to between 30 and 32. There is a division and a point between 26 and 27. The left whisker extends from a point between 12 and 14 to a point between 18 and 20. The right whisker extends from a point between 30 and 32 to 36.
B. A box-and-whisker plot is shown above a number line that spans from 10 to 40. It is marked in increments of 2.The box extends from between 18 and 20 to 32. There is a division and a point between 26 and 27. The left whisker extends from a point between 12 and 14 to the box between 18 and 20. The right whisker extends from 32 to a point between 36 and 38.
C. A box-and-whisker plot is shown above a number line that spans from 10 to 40. It is marked in increments of 2.The box extends from between 18 and 20 to between 30 and 32. There is a division and a point between 22 and 24. The left whisker extends from a point between 12 and 14 to the box between 18 and 20. The right whisker extends from the box between 30 and 32 and extends to 38.
D. A box-and-whisker plot is shown above a number line that spans from 10 to 40. It is marked in increments of 2.The box extends from 18 to a point between 30 and 32. There is a division and a point at 24. The left whisker extends from 12 to 18. The right whisker extends from the box at a point between 30 and 32 to 36.
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19 of 23 Answered

Answer 1

Option C

Explanation:

Given the data set, 23, 32, 20, 13, 27, 36, 29, 38, 23, 15, 30, 18, to find out which box-and-whisker plot matches the data, let's work out the 5-number summary needed for constructing a box plot.

The five-number summary includes the min, Q1, median, Q3 and max value.

Let's find them.

First, order the data set from the least to the largest

13, 15, 18, 20, 23, 23, 27, 29, 30, 32, 36, 38

Min = 13

Max = 38

Median = (23 + 27) ÷ 2 = 50 ÷ 2 = 25

Q1 = (18 + 20) ÷ 2 = 38 ÷ 2 = 19

Q3 = (30 + 32) ÷ 2 = 62 ÷ 2 = 31

The box-and-whiskers plot will have the description given in option C.

It will look like the box plot shown in the attachment below.