I definitely know that the first graph has the same frequency for each score. I

Question

I definitely know that the first graph has the same frequency for each score. I tempted to think that because the second one has more variability in it and standard deviation comes from variance, the second one is the result. However, I just want to make sure because I just do not like guessing. Can somebody explain which is the answer and why with a lot of detail?

Question 7 Background Comparing summaries Below are histograms showing two sets of quiz scores for two samples of 22 students. Quiz scores for Sample 1 Quiz Scores for Sample 2 7.b Which sample will have the larger standard deviation of scores? 1 point(s) Sample 1 Sample 2 The two standard deviations will be equal. Cannot be determined without computing both standard deviations.

Explanation / Answer

The standard deviation is a statistic that tells you how tightly all the various examples are clustered around the mean in a set of data. When the examples are pretty tightly bunched together and the bell-shaped curve is steep, the standard deviation is small. When the examples are spread apart and the bell curve is relatively flat, that tells you you have a relatively large standard deviation.

Second graph is normally distributed so it will have small standard deviation.

Hence answer is sample1

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