The UK basketball team reported the following statistics for FGM: Field Goals Maid in 2019. Find the standard deviation for the number of Field Goals Made (FGM).138, 163, 150, 147, 71, 56, 58, 28,29Group of answer choices71.32452.73588.33355.3263
Question
The UK basketball team reported the following statistics for FGM: Field Goals Maid in 2019. Find the standard deviation for the number of Field Goals Made (FGM).138, 163, 150, 147, 71, 56, 58, 28,29Group of answer choices71.32452.73588.33355.3263
Solution
To find the standard deviation for the number of Field Goals Made (FGM), follow these steps:
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First, find the mean (average) of the data set. Add all the numbers together and then divide by the number of items in the set.
(138 + 163 + 150 + 147 + 71 + 56 + 58 + 28 + 29) / 9 = 840 / 9 = 93.33
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Next, subtract the mean from each number in the data set and then square the result.
(138 - 93.33)^2 = 1994.89 (163 - 93.33)^2 = 4853.89 (150 - 93.33)^2 = 3200.89 (147 - 93.33)^2 = 2874.89 (71 - 93.33)^2 = 498.89 (56 - 93.33)^2 = 1394.89 (58 - 93.33)^2 = 1250.89 (28 - 93.33)^2 = 4289.89 (29 - 93.33)^2 = 4138.89
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Then, find the mean of these squared differences.
(1994.89 + 4853.89 + 3200.89 + 2874.89 + 498.89 + 1394.89 + 1250.89 + 4289.89 + 4138.89) / 9 = 22764.01 / 9 = 2529.33
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Finally, take the square root of the mean of these squared differences. This is the standard deviation.
√2529.33 = 50.29
So, the standard deviation for the number of Field Goals Made (FGM) is approximately 50.29.
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