the weights of ten cats in pounds are 14, 10, 11, 9, 12, 8, 8, 10, 7, and 10. what is the mean absolute deviation of the weights of the cats?

choice D) 2.5

Explanation:

Original set = {12, 11, 6, 10, 5, 13, 6, 9}

n = 8 is the number of values in that set above

Add up the values 12+11+6+10+5+13+6+9 = 72

Divide that sum by n = 8 to get 72/8 = 9. So the mean = 9

For each value in the original set {12, 11, 6, 10, 5, 13, 6, 9} subtract off the mean = 9. Apply the absolute value to ensure the result is positive or zero

|x - mean| = |12 - 9| = 3

|x - mean| = |11 - 9| = 2

|x - mean| = |6 - 9| = 3

|x - mean| = |10 - 9| = 1

|x - mean| = |5 - 9| = 4

|x - mean| = |13 - 9| = 4

|x - mean| = |6 - 9| = 3

|x - mean| = |9 - 9| = 0

The set of results we get are: {3, 2, 3, 1, 4, 4, 3, 0} which adds up to 3+2+3+1+4+4+3+0 = 20, then we divide that over n = 8 to get 20/8 = 2.5

Therefore the mean absolute deviation (MAD) is 2.5

Step-by-step explanation:

So lol im sorry i kinds just calculated it up on the calculator wont be able to provide an explanation but it gave me 1.72 as the Mean Absolute Deviation so the answer would be 1.72 pounds

Hope this helps!

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step-by-step explanation:

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