In: Statistics and Probability
Compute the mean and variance for the sample data (Formulas, plug in numbers, calculations required):
| 
 16  | 
 9  | 
 8  | 
 13  | 
 19  | 
 12  | 
 10  | 
 15  | 
 17  | 
 20  | 
| 
 Formula  | 
 Plug in numbers  | 
 Final answer  | 
|
| 
 Mean  | 
|||
| 
 Variance  | 
|||
| 
 Standard Deviation  | 
| Formula | Plug in numbers | Final answer | |
| Mean | ![]()  | 
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| Variance | ![]()  | 
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| Standard Deviation | ![]()  | 
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Let us do the calculations below

Create the following table.
| data | data-mean | (data - mean)2 | 
| 16 | 2.1 | 4.41 | 
| 9 | -4.9 | 24.01 | 
| 8 | -5.9 | 34.81 | 
| 13 | -0.9 | 0.81 | 
| 19 | 5.1 | 26.01 | 
| 12 | -1.9 | 3.61 | 
| 10 | -3.9 | 15.21 | 
| 15 | 1.1 | 1.21 | 
| 17 | 3.1 | 9.61 | 
| 20 | 6.1 | 37.21 | 
Find the sum of numbers in the last column to get. 
So Variance is 
And standard deviation is