Question

Given the following sample of 20 numbers: 5 12, 41, 48, 58, 14, 43, 50, 59, 15, 45, 52, 72, 18, 45, 54, 78, 41, 47, 56, 79

compute mean, variance and standard deviation.

Answer 1

The mean of the sample is 46.95, the variance is 5273.05, and the standard deviation is approximately 72.62.

Step-by-step explanation:

To compute the mean, add up all the numbers in the sample and divide by the total number of numbers. In this case, the sum is 939 and there are 20 numbers, so the mean is 939/20 = 46.95.

To compute the variance, subtract the mean from each number in the sample, square the result, and then add up all the squares. Divide this sum by the total number of numbers minus 1. In this case, the variance is 5273.05.

To compute the standard deviation, take the square root of the variance. In this case, the standard deviation is approximately 72.62.