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} 0.17 0.19 0 0.26

Answer 1

The median is 4
The mean is 86/21 = 4.095
Rounded this is 4.1
The difference is 0.1

Answer 2

Te difference between the mean and the median is 0.19.

Explanation:

Given data is,

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

Since,

`\text{Mean}= \frac{\text{Total sum of the all observations}}{\text{Total number of the observations}}`

`=(1+1+1+2+2+2+2+3+3+4+4+4+4+5+5+6+7+7+8+8+9)/(21)`

`=4.19047619048\approx 4.19`

Now, Mean = The middle term when the data is arranged in ascending order,

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

So, mean = 4,

Hence, the difference between the mean and the median of the following distribution = 4.19 - 4 = 0.19,

Second option is correct.