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 |
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|
Mean |
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|
Variance |
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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