calculate the mean, variance, and standard deviation for these numbers.  133.00, 140.00, 139.00,133.00, 137.00, 99.00, 138.00, 92.00, 89.00, 133.00, 132.00, 141.00, 135.00, 140.00, 96.00, 83.00, 132.00, 100.00, 101.00, 80.00, 83.00, 97.00, 135.00, 139.00, 91.00, 141.00, 85.00, 103.00, 77.00, 130.00, 133.00, 144.00, 103.00, 90.00, 83.00, 133.00, 140.00, 88.00, 81.00, 89.00

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Asked Sep 24, 2019
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calculate the mean, variance, and standard deviation for these numbers.  133.00, 140.00, 139.00,133.00, 137.00, 99.00, 138.00, 92.00, 89.00, 133.00, 132.00, 141.00, 135.00, 140.00, 96.00, 83.00, 132.00, 100.00, 101.00, 80.00, 83.00, 97.00, 135.00, 139.00, 91.00, 141.00, 85.00, 103.00, 77.00, 130.00, 133.00, 144.00, 103.00, 90.00, 83.00, 133.00, 140.00, 88.00, 81.00, 89.00

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Expert Answer

Step 1

Consider X is random variable defined in the given data set.                                      

Here, the sample size (n) = 40.

 

The mean can be calculated as:

- 1Σx
X
п
133 140139+... +88+81 89
40
113.45
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- 1Σx X п 133 140139+... +88+81 89 40 113.45

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Step 2

The variance can be c...

- "Σα-5
(113-113.45)2(140-113.45)2 ...+ (81-113.45)2 (89-113.45)
40
565.44
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- "Σα-5 (113-113.45)2(140-113.45)2 ...+ (81-113.45)2 (89-113.45) 40 565.44

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