Question

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

Answer 1

1

Explanation:

the mean is 7, now calculate each digit's distance from 7

5,6,7,7,8,9 =

2,1,0,0,2,1 =

2+1+0+0+2+1 = 6

then divided by 6 bc there are 6 digits

6/6 = 1

Therefore the MAD(Mad absolute deviation) is 1

Hope this helped

Answer 2

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