Question

What is the difference between the mean and the median of the following distribution?

{1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 7, 7, 8, 8, 9}

Answer 1

0.19047619

Explanation:

The mean is given by adding all the numbers then dividing them by their count. Here, we have 21 numbers hence the average will be

Average=
`\frac {1+1+1+2+2+2+2+3+3+4+4+4+4+5+5+6+7+7+8+8+9}{21}=4.19047619`

Arranging the digits in ascending order, the median will be the 11th digit ie

1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 7, 7, 8, 8, 9

Thefore, the median is 4.

The difference between mean and median will be given by

4.19047619-4=0.19047619