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Mr. Z gave a test in Physics. Scores for the class are as follows: 76, 55, 73, 93, 29, 74, 57, 34, 54, and 75 out of a possible 100 points. Assume scores from this test are normally distributed.

 

Which three scores are the “most unusual”? Use z-scores to support your answer. Show all the values you calculated to support your answer. Round any z-scores in your answer to two decimal places.

 

Thanks for your Help.

 Apr 28, 2018
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I do not understand the method you want me to solve the problem with. 

 

This is mine:

 

We can first find the median of this list of data, then find the numbers that are most of.

 

First, we can arrange it from least to greatest:

 

\(29, 34 , 54, 55, 57, 73, 74, 76, 93\)

 

The median, or middle number is 57.

 

The numbers farthest away from 57 are:

 

\( |57 - 29| = 28 \)

 

\(|57-93|=-36\)

 

\(|57-34|=23\)

 

Therefore, the scores that are most unusual are:

 

29, 93, and 34.

 

I hope this helped,


Gavin

 Apr 28, 2018

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