Question

In: Statistics and Probability

Compute the mean and variance for the sample data (Formulas, plug in numbers, calculations required): 16...

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

Solutions

Expert Solution

  

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


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