What is the mean absolute deviation of 9,7,6,8,7 and 5

To find the mean absolute deviation you must use the formula

Absolute Deviation = Σ|x - μl / N

x represents score

μ represents mean

Σ represents sum

N represents numbers of scores

1. find mean (add all values)

add all values / the amount of numbers given

9 + 7 + 6 + 8 + 7 + 5 = 42

42/6 = 7

(I got 6 because there are 6 numbers that are given)

therefore μ = 42 and N = 6

find the distance of each value from that mean (7)

value distance

9 2

7 0

6 1

8 1

7 0

5 3

add the distance

2 + 0 + 1 + 1 + 0 + 3 = 7

divide by the number of values given which is 6

7/6 = 1.166

= 1.2

therefore the mean is 7 and the mean deviation is 1.2

the absolute deviation

since you have the mean which is 7

you have to subtract the values given by 7

|x - μl so the formula is |x - 7l

9 - 7 = 2

7 - 7 = 0

6 - 7 = - 1

8 - 7 = 1

7 - 7 = 0

5 - 7 = - 2

Add all the values

2 + 0 - 1 + 1 + 0 - 2 = 0

so you sub all the values into the formula

Σ|x - μl / N

0 / 6 = 0