Determine whether the following statement is true or false. If the statement is false, make the...
Determine whether the following statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement.
If one or more data items are much greater than the other items, the mean, rather than the median, is more representative of the data.
Homework Answers
The given statement is FALSE.
Explanation:
If one or more data items are much greater than the other items, the mean will not be a true representative of the data because mean takes into account all the values and gets affected by the outlier ones.
However, median value is the middle observation in the dataset and hence, not influenced by the data items that are much greater than the other items.
The correct statement is:
Therefore, If one or more data items are much greater than the other items, the median, rather than the mean, is more representative of the data.
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