Question

which statement describes the symmetry of the data in the two box plots?
o the data in country a are more symmetric than the data in country b.
o the data in country b are more symmetric than the data in country a.
o the data in both countries have about the same symmetry.
o the symmetry of the data cannot be determined by looking at the box plots.

Explanation:

Step1: Analyze symmetry in box - plots

Symmetry in a box - plot means the distance from the median to the lower quartile is approximately equal to the distance from the median to the upper quartile.
For Country A's box - plot:
The median is around \(4\). The lower quartile is around \(2\) and the upper quartile is around \(6\). The distance from median to lower quartile \(=4 - 2=2\), and from median to upper quartile \(=6 - 4 = 2\).
For Country B's box - plot:
The median is around \(4\). The lower quartile is around \(3\) and the upper quartile is around \(7\). The distance from median to lower quartile \(=4 - 3 = 1\), and from median to upper quartile \(=7 - 4=3\).

Step2: Compare symmetries

Since the distances (median - lower quartile and median - upper quartile) are more equal for Country A's box - plot than for Country B's box - plot.

Answer:

The data in country A are more symmetric than the data in country B.