Question

Given the box plot, will the mean or the median provide a better description of the center? (1 point)

box plot with min at 11, Q1 at 22.5, median at 34.5, Q3 at 36, max at 37.5

Answer 1

Answer: median

Explanation:

Given five number summary :

Minimum value = 11

First quartile =22.5

Median = 34.5

Third quartile =36

Maximum value= 37.5

We can see that the data is skewed to the left since the median looks closer to the third quartile than to the first quartile.

Also, we know that the median provides a better description of the center when the data distribution is skewed.

Therefore, We say that for the given box -plot , the the median provides a better description of the center .

Answer 2

The data are bunched towards the higher values above the mean, but spread out to values below the mean. Therefore the median provides a better description of the center.