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 | |||
Variance | |||
Standard Deviation |
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