Here is a list of eight integers 11 19 15 3 13 7 22 x The value of x is three times the median of these eight integers.

Question

(a) Find the median. (b) Work out the numerical value of the mean of the eight integers.

Answer 1

First, put the values in order. Since x is 3 times the median, it will be a higher value.

3 7 11 13 15 19 22 x

Since there are an even number of values, you find the median by averaging the 2 middle terms.

(13+15)/2 = 14 is the median

Since x is 3 times the median,

x=3(14)

x=42