# 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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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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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:

Step 2

The variance can be c...

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