Question

if a set of test scores has a large range but a small standard deviation, describe what this means about students performance on the test.
choose the correct answer below.
o a. most of students test scores are around the mean.
o b. most of students test scores are around the mean, except that few students got scores much less than the mean.
o c. most of students test scores are around the mean, except that few students got scores much greater than the mean.
o d. most of students test scores are around the mean, except that few students got scores much greater than the mean and few students got scores much less than the mean

Explanation:

A large range means scores vary widely overall, but a small standard deviation means most scores are close to the mean. So most scores cluster around the mean, with only a few (either high or low) causing the large range. Option D says most are around the mean, with few much higher and few much lower, which fits this. A is too vague (no mention of outliers), B and C only mention one side of outliers (low or high), but range being large implies outliers on both ends.

Answer:

D. Most of students’ test scores are around the mean, except that few students got scores much greater than the mean and few students got scores much less than the mean