Question

What is the difference between the mean and median of the following data set?: {18, 22, 28, 28, 32, 35, 43, 48, 51, 53, 56, 61}

Answer 1

Median is `39`

Mean is: `39 7/12`

Explanation:

Mean of theset of numbers is the sum of all numbers divided by their quantity. In this case the mean is:

`bar(x)=475/12=39 7/12`

Median of an increasingly ordered set of numbers is

1. The "middle" number for a set with odd quantity of numbers
2. The mean of 2 "middle" numbers for a set with even quantity of numbers.

The given set is already ordered so we can calculate the median.
In the given set there are 12 numbers, so we have to find the elements number 6 and 7 and calculate their mean:

`Med=(35+43)/2=78/2=39`