Question 1 • Concepts in Probability and Statistics
Sora was given two data sets, one without an outlier and one with an outlier. Data without an outlier: 108, 113, 105, 118, 124, 121, 109 Data with an outlier: 108, 113, 105, 118, 124, 121, 109, 41 How is the mean affected by an outlier?
Answer
A
The outlier did not affect the mean at all.
B
The mean is centered around all the other numbers in both sets of data.
C
The outlier made the mean lower than all the other values.
D
The outlier made the mean higher than all the other values.
Explanation
Without the outlier, the mean is 798 ÷ 7 = 114. Adding the low value 41 gives a new mean of 839 ÷ 8 = 104.875, which is lower than every other value in the set. So the outlier made the mean lower than all the other values.
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