Kristen and Sam notice that the means of their scores for the first marking period were the same. Kristen commented that the standard deviation of her scores was 8.4 while the standard deviation of Sam's was 4.8. Which statement must be true?

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dcradd8060 dcradd8060

11-05-2018
Mathematics

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Kristen and Sam notice that the means of their scores for the first marking period were the same. Kristen commented that the standard deviation of her scores was 8.4 while the standard deviation of Sam's was 4.8. Which statement must be true?

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11beehshahbaz 11beehshahbaz · Answer 1 · 2018-05-21T18:22:44+02:00

The correct answer is option B.

Standard Deviation is a measure of how much the scores vary on average from the mean value. A larger standard deviation signifies that values are away from the mean, a smaller standard deviation shows that the values are close to the mean.

Since the standard deviation of Sam's scores is lower as compared to that of Kristen, we can say that Sam's score were more closer to the mean value and were consistent.

So, option B is the correct answer