Question 17 • Concepts in Probability and Statistics A
Deepali was given two data sets, one without an outlier and one with an outlier. Data without an outlier: 15, 19, 22, 26, 29Data with an outlier: 15, 19, 22, 26, 29, 81How is the mean affected by an outlier?
Answer
A
The outlier did not affect the mean at all.
B
The outlier made the mean higher than all the other values.
C
The outlier made the mean lower than all the other values.
D
The mean is centered around all the other numbers in both sets of data.
Explanation
Without the outlier, the mean is (15 + 19 + 22 + 26 + 29) ÷ 5 = 22.2. With 81 included, the mean is 192 ÷ 6 = 32, which is higher than each of the other values (the largest is 29). So the outlier makes the mean higher than all the other values.
AI-written and checked against the verified answer.