Question

The mean of 6 numbers is 8.

The numbers are in the ratio 1 : 1 : 2 : 2 : 3 : 3.
Find the median.

Answer 1

Answer: 8

Explanation:

Given

Mean of the numbers is 8

If the ratio is 1:1:2:2:3:3

Suppose the numbers are
`x, x, 2x, 2x, 3x, 3x`

Write the mean of the numbers

`\Rightarrow (x+x+2x+2x+3x+3x)/(6)=8\\\\\Rightarrow (12x)/(6)=8\\\\\Rightarrow x=4`

So, the numbers are
`4, 4, 8,8 ,12,12`

As the total numbers are even, median is the sum of the middle values

`\Rightarrow \text{Median=}(8+8)/(2)\\\\\Rightarrow \text{Median=}8`