Question

The box plots below show the average daily temperatures in July and August for a U.S. city:

What can you tell about the means for these two months?

A. The August high is above the July median. This makes it hard to know about the means.

B. Both months have the same low temperature. This makes it hard to know about the means.

C.It is unlikely, but possible that the July mean could be higher.

D. There is no way to tell what the means are.

Answer 1

A. The August high is above the July median. This makes it hard to know about the means.

Explanation:

I got it right

Answer 2

The correct answer would be option A.

The maximum value of the Temperatures in August is greater than the median of the July Temperatures. The box plot only gives us the idea about the distribution/spread of the data. It does not highlight the frequency of the values in the data set.

It is possible that the maximum temperature in August occurs on a lot many days. As a result the mean temperature will be higher. Similarly, the lower temperature in July can occur more frequently. So this is possible that mean temperature in August is higher than that of July.

Chances are more that the mean temperature in July was higher, but there is a possibility of the mean temperature to be higher in August. So we can not conclude about the means by surety.

Therefore, option A is the correct answer