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Which of the following is least affected if an extreme high outlier is added to your data?

(a) Median

(b) Mean

(c) Standard deviation

(d) Range

(e) Maximum

1 Answer

1 vote

Answer:

(a) Median

Explanation:

The median is least affected by the addition of an outlier because it concerns the values in the middle of a sorted data list. Adding an extremely high number would not affect the middle data, so the median would not really be influenced by the outlier. On the other hand, the mean and standard deviation take into account all the values in the data, so adding an extreme high outlier would change the mean and standard deviation. The range and maximum are also affected since they involve the highest and lowest values, and the highest value would be different. Therefore, the median is the least affected if an extreme high outlier is added to the data.

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