Question

While she was on holiday,Olga measured the temperature at the same time every day. Here are the results. Work out the median: The range of the temperatures

Answer 1

See Explanation

Explanation:

The question is incomplete, as the required data are not given.

I will use the following data as an illustration of how to calculate median and range.

We have:

`x: 11, 13, 14, 15, 18, 20`

Calculate range

Identify the highest and the least

`Highest = 20`

`Least = 11`

So, the range is:

`Range = Highest -Least`

`Range =20-11`

`Range =9`

Calculate the median

The number of data we are using is 6 (i.e. even).

So, the position of the median item is:

`Median =(1)/(2)(n+1)`

`Median =(1)/(2)(6+1)`

`Median =(1)/(2)*7`

`Median =3.5th`

A decimal result implies that the median is the mean of the integer values before and after the result.

In this case, the median is the mean of the item at 3rd and 4th positions.

So:

`Median = (14+15)/(2)`

`Median = (29)/(2)`

`Median = 14.5`