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? (4 points) a. 2.2 b. 6 c. 6.5 d. 8

Option A - 2.2

Step-by-step explanation:

Given : Data  7, 2, 8, 5, 9, 9, 5, 6, 8, 1.

To find : What is the mean absolute deviation for these data?

Solution :

Step 1 - Calculate the mean of the data,

The mean is 6.

Step 2 - Calculate the distance between each data point and the mean.

Data points     Distance from mean

 7                        |7-6| = 1

 2                        |2-6| = 4

 8                        |8-6| = 2

 5                        |5-6| = 1

 9                        |9-6| = 3

 9                        |9-6| = 3

 5                        |5-6| = 1

 6                        |6-6| = 0

 8                        |8-6| = 2

 1                        |1-6| = 5

Step 3 - Add all the terms of distance from mean

X=1+4+2+1+3+3+1+0+2+5=22

Step 4 - Apply mean absolute deviation formula,

Therefore, Option A is correct.

The mean absolute deviation is 2.2.

(x, y)→(x − 8, y − 7)

step-by-step explanation:

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