First, let’s start with a statistical example. Let’s assume that the mean score for a class of 50 students is 60 and the standard deviation is 15 marks. A student named Emily asked the teacher if by scoring 70 she has performed well or not. Initially by looking at Emily’s score, it appears that she did well considering that 60 is the mean class score. However, this doesn’t reflect the variation among 50 students. Considering the standard deviation of 15, it is very likely that there is a significant variation among the scores. To answer the question how well Emily performed in the coursework compared to other students in the class we can use the Z score.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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First, let’s start with a statistical example. Let’s assume that the mean score for a class of 50 students is 60 and the standard deviation is 15 marks. A student named Emily asked the teacher if by scoring 70 she has performed well or not. Initially by looking at Emily’s score, it appears that she did well considering that 60 is the mean class score.
However, this doesn’t reflect the variation among 50 students. Considering the standard deviation of 15, it is very likely that there is a significant variation among the scores. To answer the question how well Emily performed in the coursework compared to other students in the class we can use the Z score.

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