the histogram represents the distributions of essay scores for high school sophomores and juniors in a…

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.

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.

Answer

Explanation:

Step1: Analyze measure of center

The data has outliers and is skewed, so median is a better measure of center than mean. So the statement about mean being the best comparison of measures of center is false.

Step2: Compare scores visually

By looking at the histogram, the bars for juniors are generally higher than for sophomores at higher - score intervals, so juniors tended to have higher essay scores than sophomores.

Step3: Analyze medians

The distribution of scores for sophomores and juniors is different, so their medians are not equal.

Step4: Analyze measure of variability

Since the data has outliers and is non - symmetric, interquartile range (IQR) is a better measure of variability than standard deviation.

Step5: Analyze distribution shape

The distributions are not symmetric. The left - hand side and right - hand side of the histograms for both sophomores and juniors do not mirror each other.

Answer:

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