I gave a quiz (graded 0-100%) to my class and obtained their scores. Individuals

Question

I gave a quiz (graded 0-100%) to my class and obtained their scores. Individuals in this sample are very spread out around the mean; some have very low scores (15%) and some scored very highly (100%). The sample’s standard deviation is probably _____. My second class (another sample) received the same quiz. Every single person in this class scored between 85 to 90%. This sample’s standard deviation is probably _____.

Large; Small

Small; Large

An error; Accurate

Large; Small

Small; Large

An error; Accurate

Explanation / Answer

A. Large; Small

A low standard deviation indicates that the data points tend to be close to the mean (also called the expected value) of the set, while a high standard deviation indicates that the data points are spread out over a wider range of values.

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