the number of kittens in 10 litters: 4, 5, 5, 6, 6, 7, 8, 8, 8, and 9 find the mean average deviation for each data set

The mean average deviation of the given data set: 4, 5, 5, 6, 6, 7, 8, 8, 8, 9

is 2

Step-by-step explanation:

Given the data set:

4, 5, 5, 6, 6, 7, 8, 8, 8, 9.

To find the mean average deviation,

First of all, find the mean, M.

M = Sum of elements of data set : Number of elements of data set.

M = (4 + 5 + 5 + 6 + 6 + 7 + 8 + 8 + 8 + 9) / 10

= 66 / 10

= 6.6

Mean = 6.6

Next, find the deviation of each element by subtracting each of them from the mean, and taking the absolute value of each (only the positive value).

Deviation: 2.6, 1.6, 1.6, 0.6, 0.6, 1.6, 2.6, 2.6, 2.6, 3.6.

Next, find the mean average deviation by summing the deviation from each element, and dividing the result by the number of elements.

(2.6 + 1.6 + 1.6 + 0.6 + 0.6 + 1.6 + 2.6 + 2.6 + 2.6 + 3.6) / 10

= 20/10

= 2

Therefore, the mean average deviation is 2