Instructions: Calculate the standard deviation of the following sample data. Rou

Question

Instructions: Calculate the standard deviation of the following sample data. Round your answer to the nearest 0.1.   

Data 1: 884, 927, 917, 887, 894, 932, 825, 845, 861, 894

Data 2: 214, 202, 176, 231, 185, 220, 192, 221, 235, 178

An example:

Data: 12, 10, 13, 16, 20

Step 1: calculate the average:

Sum the data: 12 + 10 + 13 + 16 + 20 = 71

Divide the sum of the data by the number of data points: 71/5

Average = 14.2

Step 2: compute the deviation for each data point

               For example: 12 – 14.2 = -2.2

Step 3: square each deviation:

               For example: (-2.2)2 = 4.84 (round to 4.8)

Step 4: sum the square of the deviations

Step 5: calculate the standard deviation: take the square root of the sum of the deviations divided by the number of data points minus 1.

Explanation / Answer

data 1

standard deviation = 34.82

data 2

standard deviation = 21.82

obs Deviation deviation^2 884 -2.6 6.76 927 40.4 1632.16 917 30.4 924.16 887 0.4 0.16 894 7.4 54.76 932 45.4 2061.16 825 -61.6 3794.56 845 -41.6 1730.56 861 -25.6 655.36 894 7.4 54.76 sum 8866 sum 10914.4 n 10 n-1 9 average 886.6 sqrt(sum/(n-1)) 34.82

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