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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.

 

1. Find the Median, Mean, and Standard Deviation of these 10 values. Round to one decimal place if needed. Indicate which is the mean and which is the median. Even though this is the entire class, use the “sample” method when finding the Standard Deviation. Show your work! If you use technology to find the Standard Deviation, then explain how to compute it.

Guest Apr 27, 2018
 #1
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 76, 55, 73, 93, 29, 74, 57, 34, 54, and 75 

 

Order the data from low to high

 

 

29  34  54  55  57  73  74  75  76  93  

 

The median  is :    [ 57 + 73] / 2   =  130/2   =  65

 

The mean is   [ 29 + 34 + 54 +  55 +  57 +  73  +  74 +  75 +  76 +  93]  / 10  = 62

 

The standard deviation  is ≈  20

 

We take the absolute value difference  of each score from the mean, square it  and add these squares together......then, for a sample,  we  divide this  by  the number of scores less one......the square root of the last calculation is the standard deviation

 

 

cool cool cool

CPhill  Apr 28, 2018

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