Question

The list shows the heights of 6 students in inches. 63, 70, 68, 73, 58, 67 What is the mean absolute deviation for these numbers?

Answer 1

Answer with Step-by-step explanation:

Mean absolute deviation means mean of the absolute deviation around mean

so, first we calculate the mean

Mean= sum of all observations/total number of observations

        = (63+70+68+73+58+67)/6

        =66.5

Absolute deviations around mean:

|63-66.5|=3.5

|70-66.5|=3.5

|68-66.5|=1.5

|73-66.5|=6.5

|58-66.5|=8.5

|67-66.5|=0.5

Mean of absolute deviation around mean=(3.5+3.5+1.5+6.5+8.5+0.5)/6

                                                                     = 4

Hence, mean absolute deviation is:

4

Answer 2

To find the mean absolute deviation for a set of data, add all of the numbers together and divide it by the number of numbers in the data set.
63+70+68+73+58+67=399
Now, divide it by 6.
399/6=66.5
The mean absolute deviation is 66.5
Hope this helps!