Question 452798:  Given the following frequency distribution, find the mean, variance, and standard deviation. Please show all of your work.
 
Errors	Frequency 
56-58	22 
59-61	14 
62-64	24 
65-67	19 
68-70	19
 
 
Need to understand the step needed to complete this. 
 Answer by stanbon(75887)      (Show Source): 
You can  put this solution on YOUR website! Given the following frequency distribution, find the mean, variance, and standard deviation. Please show all of your work.  
Errors Frequency 
56-58 22 
59-61 14 
62-64 24 
65-67 19 
68-70 19 
 
Need to understand the step needed to complete this. 
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You need the class average for each class; called the class mark. 
1st class: (58+56)/2 = 57 
2nd class: 60 
3rd class: 63 
4th class: 66 
tth class: 69 
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Multiply each by the frequency for the class 
22*57 
14*60 
24*63 
19*66 
19*69 
---- 
Add all those products. 
Divide by the sum of the frequencies to get the mean. 
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etc. 
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Cheers, 
Stan H. 
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