Using the following data, calculate the mean absolute deviation:


7 2 8 5 9 9 5 6 8 1


What is the mean absolute deviation for these data?
2.2
6
6.5
8

Answer:

2.2

Step-by-step explanation:

If you find the mean of the deviation, you get 2.2

The mean absolute deviation of the data is M = 2.2

The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

Mean = Sum of Values / Number of Values

Given data ,

Let the total number of points be n

Now , the value of n = 10

And , the number of points on each data is given by set A

Now , the value of set A = { 7 , 2 , 8 , 5 , 9 , 9 , 5 , 6 , 8 , 1 }

So , the total sum of data = 7 + 2 + 8 + 5 + 9 + 9 + 5 + 6 + 8 + 1

The total sum of data = 60

Now , the mean number of data points = 60/10 = 6

And , the mean deviation is M

M = 1/10 | [ ( 7  - 6 ) + ( 2 - 6 ) + ( 8 - 6 ) + ( 5 - 6 ) + | ( 9 - 6 ) | + ( 9 - 6 ) + ( 5 - 6 ) + ( 6 - 6 ) + ( 8 - 6 ) + ( 1 - 6 ) |

M = ( 1/10 ) [ 1 + 4 + 2 + 1 + 3 + 3 + 1 + 0 + 2 + 5 ]

M = ( 1/10 ) [ 22 ]

M = 2.2

Therefore , the value of M is 2.2

Hence , the mean deviation is 2.2

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