Question

These box plots show daily low temperatures for a sample of days in two
different towns.
Town A
Town B
10 15 20
H
5
ㅏ
20
30
30
40
55
55
05 10 15 20 25 30 35 40 45 50 55 60
Degrees (F)

Answer 1

The correct option regarding the data-sets represented by the box and whisker plots is:

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

What does a box-and-whisker plot shows?

A box and whisker plot shows three things:

• The 25th percentile, which is the median of the bottom 50%.

• The median, which splits the entire data-set into two halfs, the bottom 50% and the upper 50%.

• The 75th percentile, which is the median of the upper 50%.

For data-set A, we have that:

• The 25th percentile is of 15.

• The median is of 20.

• The 75th percentile is of 30.

Since 30 - 20 > 20 - 15, the distribution is positively skewed.

For data-set B, we have that:

• The 25th percentile is of 20.

• The median is of 30.

• The 75th percentile is of 40.

Since 40 - 30 = 30 - 20, the distribution is symmetric.

Hence the correct option is:

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

More can be learned about box and whisker plots at https://brainly.com/question/27721471

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