Question

The Mean of 5 numbers is 20 the median is 23 what might the number be

Answer 1

12, 14, 23, 25, 26

Explanation:

We know that:

• The mean is 20.
• The median is 23.

If the mean is 20, then the sum of all number must be 100, because:

`x=(\sum x_(i)  )/(N) \\20=(\sum x_i)/(5) \\\sum x_i=100`

Also, we know that the median is 23, this means that the middle number is 23, because they number of elements is an odd number (5), when that happens, the median is always the number placed in the middle.

So, we know that the middle number is 23, now we have to find for numbers that sum 77, because 77+23 = 100.

The numbers that fit with all these characteristics are:

12, 14, 23, 25, 26