2) Sam made a 61 and Bob made a 68. If the mean was 65, which SD would Bob prefer: SD = 1, SD = 5, SD = 10? Explain
2) Sam made a 61 and Bob made a 68. If the mean was 65, which SD would Bob prefer: SD = 1, SD = 5, SD = 10? Explain
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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
Transcribed Image Text:**Question:**
Sam made a 61 and Bob made a 68. If the mean was 65, which standard deviation (SD) would Bob prefer: SD = 1, SD = 5, or SD = 10? Explain.
**Explanation:**
Bob would prefer the largest standard deviation (SD = 10), as his score of 68 is above the mean of 65. A larger standard deviation indicates more spread in the data, which would make Bob's score appear better compared to the average since it would be closer to the higher end of the distribution. A smaller standard deviation would mean that scores are clustered more closely around the mean, making deviations more significant and reducing the relative advantage of Bob's higher score.
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In the given question which standard deviation Bob will prefer, before have to know what is standard deviation.
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