Question

What is the mean, median, mode, and range of the following numbers?: {1,2,3,4,5,6,7,8,9}

Answer 1

Mean `=5` and Median = `5`

There is no mode

Range = `9-1=8`

Explanation:

We have the distribution:

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

The Range is the difference between the highest and the lowest - an indication of how far the numbers are spread out.

range`= 9-1=8`

Mode, median and mean are all regarded as different types of average, they give different information.

The Mode is the value with the highest frequency - the one that occurs the most often. There is no mode in this case because each number occurs exactly once.

The median is the number exactly in the middle of a set of numbers arranged in order.

There are `9` numbers, the middle one is `5`
There are `4` numbers on each side.

`color(blue)(1,2,3,4,)color(red)(5),color(blue)(6,7,8,9)`

The mean is what is generally understood as 'average'

Mean = `"sum of the values"/"the number of values"`

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

`=45/9 =5`