METHODS OF DATA ANALYSIS
MEASURES OF CENTRAL TENDENCY
Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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What effect will the outlier have on the median of the data if the outlier is excluded? 2, 4, 1, 2, 8, 4, 22
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does not change
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insufficient information to conclude
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decreases
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increases
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Explanation:
Detailed explanation-1: -The median is the middle value in a dataset when the values are listed in order. Unlike the mean, the median is not sensitive to outliers. It only takes into account the values in the middle of the dataset, so outliers don’t have as much of an impact. So there you have it!
Detailed explanation-2: -An outlier can affect the mean by being unusually small or unusually large. In the previous example, Bill Gates had an unusually large income, which caused the mean to be misleading. The mean score is 84.6. However, if we remove the “0” score from the dataset, then the mean score becomes 94.
Detailed explanation-3: -The mean is more sensitive to the existence of outliers than the median or mode.
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