What is the effect on the median when the outlier is removed from these ages?

Question

The people attending a movie showing on Saturday had the ages: 43, 46, 49, 50, 52, 54, 78, 47.

Answer 1

Put the numbers in order.

43,46,47,49,50,52,54,78

There is an even number of numbers which means that there are two middle numbers. 49 and 50.

There are 3 numbers less than the two middle numbers and 3 numbers greater than the two middle numbers.

Find the mean of 49 and 50: (49+50)/2=99/2=49.5 for the median. Also, in this problem you should realize that the median is halfway between 49 and 50 which again is 49.5.

Remove the 78.

43,46,47,49,50,52,54

There is an odd number of numbers which means there is one middle number which is the median.

The middle number is 49, which again is the median.

Removing the outlier changed the median from 49.5 to 49.