Question

What is the MAD of these numbers: 52, 65, 63, 48, 52, 53, 60

Answer 1

Answer: About 5.59

Explanation:

The mean absolute deviation (MAD) is where you subtract the mean from each value, find the absolute value of that value, and then find the average of those values.

Here is what it looks like.

[Step 1]

Find the average.

`\displaystyle (52+65+63+48+52+53+60)/(7) =(393)/(7)=56.14`

[Step 2]

Find the absolute value of each data from the mean.

|52 - 56.14| = 4.14

|65 - 56.14| = 8.86

|63 - 56.14| = 6.86

|48 - 56.14| = 8.14

|52 - 56.14| = 4.14

|53 - 56.14| = 3.14

|60 - 56.14| = 3.86

[Step 3]

Find the average of these values.

`\displaystyle(4.14 + 8.86 + 6.86+8.14+4.14+3.14+3.86)/(7) =(39.14)/(7)=5.59`