Question

the table shows the test scores of students who studied for a test as a group (group a) and students who studied individually (group b). which would be the best measures of center and variation to use to compare the data? the scores of group b are skewed right, so the mean and range are the best measures for comparison. both distributions are nearly symmetric, so the mean and the standard deviation are the best measures for comparison. both distributions are nearly symmetric, so the median and the interquartile range are the best measures for comparison. the scores of both groups are skewed, so the median and standard deviation are the best measures for comparison.

Explanation:

Step1: Recall measure - choice rules

For symmetric distributions, the mean and standard - deviation are good measures of center and variation. For skewed distributions, the median and inter - quartile range are better.

Step2: Analyze the situation

If both distributions are nearly symmetric, the mean represents the center well and the standard deviation represents the variation well.

Answer:

B. Both distributions are nearly symmetric, so the mean and the standard deviation are the best measures for comparison.