The UK basketball team reported the following statistics for FGM: Field Goals Maid in 2019. Find the coefficient of variation for the number of Field Goals Made (FGM).138, 163, 150, 147, 71, 56, 58, 28,29 Group of answer choices0.6350.5971.6870.592

To find the coefficient of variation, we first need to calculate the mean (average) and the standard deviation of the data set.

Step 1: Calculate the mean Add up all the numbers and then divide by the number of numbers. (138 + 163 + 150 + 147 + 71 + 56 + 58 + 28 + 29) / 9 = 840 / 9 = 93.33

Step 2: Calculate the standard deviation First, subtract the mean from each number and square the result. (138-93.33)^2 = 1994.89 (163-93.33)^2 = 4861.69 (150-93.33)^2 = 3200.69 (147-93.33)^2 = 2874.69 (71-93.33)^2 = 498.69 (56-93.33)^2 = 1396.69 (58-93.33)^2 = 1250.69 (28-93.33)^2 = 4286.69 (29-93.33)^2 = 4134.69

Add all these squared numbers together and divide by the number of numbers minus 1. (1994.89 + 4861.69 + 3200.69 + 2874.69 + 498.69 + 1396.69 + 1250.69 + 4286.69 + 4134.69) / (9-1) = 23998.82 / 8 = 2999.85

Then, take the square root of that number to get the standard deviation. √2999.85 = 54.77

Step 3: Calculate the coefficient of variation Divide the standard deviation by the mean and multiply by 100 to get the coefficient of variation as a percentage. (54.77 / 93.33) * 100 = 58.7%

So, the coefficient of variation for the number of Field Goals Made (FGM) is 0.587 or 58.7% when expressed as a percentage. The closest answer choice would be 0.592.