Question

the histogram represents the distributions of essay scores for high school sophomores and juniors in a contest. which statements are true about the data used to create the histogram? select three options. 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 nearly symmetric.

Explanation:

Step1: Analyze measure of center

The data may be skewed, so mean is not always the best measure of center. Median is better for skewed data.

Step2: Compare scores visually

By looking at the histogram, the blue - bars (juniors) are generally higher than the yellow - bars (sophomores) for higher scores, so juniors tended to have higher essay scores.

Step3: Analyze measure of variability

Inter - quartile range is a robust measure of variability and is good for comparing data sets, especially when there are outliers or non - normal distributions.

Step4: Analyze symmetry

The distributions do not appear symmetric from the histogram.

Answer:

The juniors tended to have higher essay scores than the sophomores.
The interquartile range is the best comparison of the measure of variability.