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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, 61 How is the mean affected by an outlier? The outlier did not affect the mean at all. The outlier made the mean higher than all the other values. The outlier made the mean lower than all the other values. The mean is centered around all the other numbers in both sets of data.

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Answer:

  (c)  The outlier made the mean lower than all the other values.

Explanation:

The mean and median without the outlier are 114 and 113, respectively. With the outlier (61) in the data set, the mean changes to 107.4 and the median moves to 111. At 107.4, the mean is not "lower than all the other values", but it is lower than 108, the first quartile value in the absence of the outlier. It certainly is not "centered around all the other numbers."

The appropriate choice among those offered is probably the third one:

  The outlier made the mean lower than all the other values.

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