Question

What is the mean absolute deviation of the following set of data 10 4 12 4 2 10 10 6

Answer 1

The mean absolute deviation of the given data 10, 4, 12, 4, 2, 10, 10, 6 is 3.1875.

According to the given question.

The given data set is

10, 4, 12, 4, 2, 10, 10, 6

Mean of the given data set  

= (10 + 4 +  12 + 4 + 2 + 10 + 10 + 6)/8

= 7.25

Now, the absolute values are:

|10 - 7.25| = 2.75

|4 - 7.25| = 3.25

|12 -7.25| = 4.25

| 4 - 7.25| = 3.25

| 2 - 7.25| = 5.25

| 10 - 7.25| = 2.75

| 10 - 7.25| = 2.75

| 6 - 7.25| = 1.25

The average of all absolute values

= (2.75 + 3.25 + 4.25 + 3.25 + 5.25 + 2.75 + 2.75 + 1.25)/8

= 25.5/8

= 3.1875

Therefore, the mean absolute deviation of the given data 10, 4, 12, 4, 2, 10, 10, 6 is 3.1875.

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