Formulas that you may or may not use in this Quiz would involve: The sum of all

Question

Formulas that you may or may not use in this Quiz would involve: The sum of all data values divided by the total number of data points The square root of (the sum of the squares of the deviations from the mean divided by the number of data points) . . . The square root of (the sum of the squares of the deviations from the mean divided by one less than the number of data points) In the problem below, consider the sample of data: 195, 5, 2, 2, 2, 2, 1, (5 pts) Show in tabular form all of the work needed to determine the mean and the standard deviation for this data. 1.

Explanation / Answer

Question 1

Here sum of all data values = (195 + 5 + 2 + 2 + 2 + 2 + 1 + 0) = 209

Mean = 209/8 = 26.125

Variance = 1/7 * 32606.88 = 4658.1257

Standard deviation = sqrt(4658.1257) = 68.25

x x^2 (x-xbar)^2 195 38025 28518.77 5 25 446.2656 2 4 582.0156 2 4 582.0156 2 4 582.0156 2 4 582.0156 1 1 631.2656 0 0 682.5156 Sum 209 38067 32606.88

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