Question

What is the mean, median, mode, and range of 7, 3, 3, 9, 9, 5, 9, 3, 6?

Answer 1

See expanation.

Explanation:

Mean

To calculate the mean we have to add all the numbers and divide the sum by the number of elements in the set:

`bar(x)=(7+3+3+9+9+5+9+3+6)/9=54/9=6`

Median

To calculate the median we have to order the set first:

`3,3,3,5,6,7,9,9,9`

The median of an ordered set is its middle element. In this case there are 9 elements in the set, so the median is the fifth element (i.e. number `6`)

`Me=6`

Mode

The mode of a set is the element (or elements) which have most occurences.

In the given set numbers `3` and `9` occur 3 times, therfore they are the two modes.

Range

The range is the difference between the largest and the smallest element in the set.

Here we have:

`r=9-3=6`