Which statements are true about the data used to create the histogram? check all that apply. the mean is the best comparison of the measures of center. the juniors tended to have higher essay scores than the sophomores. the medians of both data sets are equal. the interquartile range is the best comparison of the measure of variability. a histogram is the best way to show that both distributions are symmetric.

It must be

A: The mean is the best comparison of the measures of center.

B: The juniors tended to have higher essay scores than the sophomores.

D: The interquartile range is the best comparison of the measure of variability.

Explanation:

edg2020

It is not D, because the distributions are not symmetric. We can clearly see that on the graph. If they are not symmetric, they are skewed. And the best way to compare variability of Skewed data is with the intequartle range (you can look this up), so there for C is correct. I found the medians, and for sophomores the median is 4, for Juniors its 4. So C is incorrect. B is obviously correct, and we can see there are more blue data points towards the right and higher side of the data. We need three answers, and A is the third one that makes the most sense.