These box plots show daily low temperatures for a sample of days in two
different towns.
Town A
15 20
30
40
45
Town B
15 20
25 30
58
0
5
10
15
45
50 55
60
20 25 30 35 40
Degrees (F)
Compare the shapes of the box plots.
A. The distributions for both towns are positively skewed.
OB. The distribution for town A is symmetric, but the distribution for
town B is positively skewed.
C. The distribution for town A is symmetric, but the distribution for
town B is negatively skewed.
D. The distributions for both towns are symmetric.

Answer:

The answer is B.

Step-by-step explanation:

As you can see, box plot A is symmetrical so that applies to answers A and B. However, box B is very skewed to the right which makes it positively skewed so answer B is the only one that matches the correct description of the two box and whisker plots.

We can conclude that the distribution for town A is symmetric, but the distribution for town B is positively skewed.

An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.

W can find the values of the upper and lower quartile and median from a box plot.

The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.

The formula used is Upper quartile - Lower quartile.

We have,

The distribution for town A is symmetric, but the distribution for town B is positively skewed.

We can determine the skewness of the distributions by comparing the position of the median with respect to the quartiles.

In town A,

The median (30) is located at the center of the box, and the first and third quartiles (20 and 40, respectively are equidistant from the median.

This indicates a symmetric distribution.

In town B,

The first and third quartiles (20 and 30, respectively) are closer to the median (25) on the left-hand side of the box than on the right-hand side. This indicates a positively skewed distribution.

Therefore,

We can conclude that the distribution for town A is symmetric, but the distribution for town B is positively skewed.

Learn more about the interquartile range here:

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