6
QuizMultiple Choice

Comparing Mean and Median — Quiz

Question 6 • Concepts in Probability and Statistics

Deepali was given two data sets, one without an outlier and one with an outlier. Data without an outlier: 15, 19, 22, 26, 29 Data with an outlier: 15, 19, 22, 26, 29, 81 How is the mean affected by an outlier?

Answer
A
The outlier made the mean lower than all the other values.
B
The mean is centered around all the other numbers in both sets of data.
C
The outlier made the mean higher than all the other values.
D
The outlier did not affect the mean at all.

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 every other value in that data set. So the outlier pulled the mean upward; the correct choice is “The outlier made the mean higher than all the other values.”

AI-written and checked against the verified answer.

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