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Question
(c) when would the mean or the median be the largest data value in the data set? if all the data values were select, then the mean and median would be the largest value in the data set.
To determine when the mean or median is the largest data value, we analyze the properties of mean and median. The mean is the sum of values divided by the number of values, and the median is the middle value (or average of middle values) when data is ordered. If all data values are equal, the sum of values is the number of values times that equal value, so the mean is that value. For the median, if all values are equal, the middle value (or average of middle values) is also that value. So when all data values are equal, both mean and median equal the (only) data value, which is the largest (and smallest) value.
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