The first three standard deviation for coSport include;
- 1 standard deviation above and below the mean = 6.9 and 6.1
- 2 standard deviation above and below the mean = 7.3 and 5.7
- 3 standard deviation above and below the mean = 7.7 and 5.3
The first three standard deviation for Blockbuster include;
- 1 standard deviation above and below the mean = 5.2 and 4.0
- 2 standard deviation above and below the mean = 5.8 and 3.4
- 3 standard deviation above and below the mean = 6.4 and 2.8
"Check the image I added for the plot of the normal distribution"
In the given chart;
sample size of the coSport, = 400
the mean of the coSport, M = 6.5
standard deviation of the coSport, d = 0.4
The first standard deviation above and below the mean for coSport is calculated as;
at 34% of the sample size = 0.34 x 400 = 136
above the mean = M + d = 6.5 + 0.4 = 6.9
below the mean = M - d = 6.5 - 0.4 = 6.1
The second standard deviation above and below the mean for coSport is calculated as;
at 14% of the sample size = 0.14 x 400 = 56
above the mean = M + 2d = 6.5 + 2(0.4) = 7.3
below the mean = M - 2d = 6.5 - 2(0.4) = 5.7
The third standard deviation above and below the mean for coSport is calculated as;
at 2% of the sample size = 0.02 x 400 = 8
above the mean = M + 3d = 6.5 + 3(0.4) = 7.7
below the mean = M - 3d = 6.5 - 3(0.4) = 5.3
Also In the given chart;
- sample size of the Blockbuster, = 600
- the mean of the Blockbuster, M = 4.6
- standard deviation of the Blockbuster, d = 0.6
The first standard deviation above and below the mean for Blockbuster is calculated as;
at 34% of the sample size = 0.34 x 600 = 204
above the mean = M + d = 4.6 + 0.6 = 5.2
below the mean = M - d = 4.6 - 0.6 = 4
The second standard deviation above and below the mean for Blockbuster is calculated as;
at 14% of the sample size = 0.14 x 600 = 84
above the mean = M + 2d = 4.6 + 2(0.6) = 5.8
below the mean = M - 2d = 4.6 - 2(0.6) = 3.4
The third standard deviation above and below the mean for Blockbuster is calculated as;
at 2% of the sample size = 0.02 x 600 = 12
above the mean = M + 3d = 4.6 + 3(0.6) = 6.4
below the mean = M - 3d = 4.6 - 2(0.6) = 2.8
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