Identify the outlier in the data set, and determine how the outlier affects the mean, median, and mode of the data. 95, 88, 72, 26, 69, 78, 97

Question

Identify the outlier in the data set, and determine how the outlier affects the mean, median, and mode of the data.

95, 88, 72, 26, 69, 78, 97

Answer 1

26 is the outlier, much further away from the other numbers than any other number in the group

26 skews the mean to the left, making it smaller,

it doesn't affect any mode, unless you view the original data as having 6 modes and now it has 7 modes

median was 83, the average of the two middle numbers 78 and 88

after adding in 26, the new median is the sole middle number, 78, a little lower, 5 less.

without 26 the mean was = 499/6 = about 83.2

with 26 the mean = (499+26)/7= 525/7 = 75, a drop of 8.2, almost twice the drop in the median