Question

Find the median of the following: 

3x, x+5, x+7, x+9, x+11, x+13 

Answer 1

3x, x+ 5, x+7, x+9, x+11, x+13 

Arranging the given data in descending order: 

x +13, x+ 11, x+9, x+7, x+5, 3x 

The middle terms are x +9 and x+7 which are 3rd and 4^th terms 

median = `(x+9+x+ 7 )/2 = (2x+16 )/2 = x + 8`

Therefore, Median = x+8.