Question

The Outlanders Club keeps track of the mean and median ages of its members. The ages of the six members are 26, 18, 42, 22, 38,
and 34. Which will increase more, the mean or the median, when a new member who is 65 years old joins?

Answer 1

The mean
You have to first put the numbers in order
18,22,26,34,39,42
To find the median you have to find the number that’s in the middle and since there are two of them, you have to find the average of them
26+34=60
60/2=30
Median is 30
To find the mean, you have to add everything together and then divide it by 6.
18+22+26+34+39+42=181
181/6= 30.17

Now you have to add the 65
18,22,26,34,39,42,65
The middle number is 34
Median=34
18+22+26+34+39+42+65=246
246/7=35.14
Now you just have to subtract
new median-old median
34-30=4
New mean-old mean
35.14-30.17=4.97
So the mean will increase more