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

35

40

45 48

0

5

10

15

20

45

50

55

60

25 30 35 40

Degrees (F)

Compare the shapes of the box plots.

O

A. Both distributions are symmetric.

O

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

town B is positively skewed.

O

C. The distribution for town A is symmetric, but the distribution for

town B is negatively skewed.

O

D. Both distributions are negatively skewed.

C. The distribution for town A is symmetric, but the distribution for

town B is negatively skewed.

Step-by-step Explanation:

From the box plots attached in the diagram below, which shows data of low temperatures for town A and town B for some days, we can compare the shapes of the box plot by visually analysing both box plots and how the data for each town is distributed.

=> For town A, the shape of the box plot is symmetric because both quartiles seem equal, and the median also divides the rectangular box into two equal halves. Both whiskers also appear to be of equal lengths.

The box plot for Town A takes a symmetric shape, and this shows a typical normal distribution of data.

=> On the other hand, Town B data distribution is different. The median seem close to the top half of the box and does not divide the box into equal halves. This shows the distribution is skewed. Since the whisker is shorter from the upper end of the box to the left side, we can infer that the distribution for Town B is skewed to the left, and it is negatively skewed.

=> The right comparison of the shapes of the box plots is "C. The distribution for town A is symmetric, but the distribution for town B is negatively skewed."