Methods of Computation
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11. For the following scores, find the (a) mean, (b) median, (c) sum of squared deviations, (d) variance, and (e) standard deviation:
2, 2, 0, 5, 1, 4, 1, 3, 0, 0, 1, 4, 4, 0, 1, 4, 3, 4, 2, 1, 0
12. For the following scores, find the (a) mean, (b) median, (c) sum of squared deviations, (d) variance, and (e) standard deviation:
1,112; 1,245; 1,361; 1,372; 1,472
13. For the following scores, find the (a) mean, (b) median, (c) sum of squared deviations, (d) variance, and (e) standard deviation:
3.0, 3.4, 2.6, 3.3, 3.5, 3.2
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This solution shows step-by-step calculations to determine the mean, median, sum of squared deviations, variance and standard deviation of the data.
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11. For the following scores, find the (a) mean, (b) median, (c) sum of squared deviations, (d) variance, and (e) standard deviation:
2, 2, 0, 5, 1, 4, 1, 3, 0, 0, 1, 4, 4, 0, 1, 4, 3, 4, 2, 1, 0
Mean = (2+2+0+5+1+4+1+3+0+0+1+4+4+0+1+4+3+4+2+1+0) / 21 =42 /21 = 2
Median
Arranging the given data into ascending order
0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,5
Median is 2
c)
Square deviation = (X-Mean)^2
= (0-2)^2 + (0-2)^2+ ...
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