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Question

Choose true or false for the following statement:
"The value of mean is always less than the smallest value of the data set."

A
True
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B
False
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Solution

The correct option is B False
Consider a data set which depicts the number of pencils sold each day for 5 consecutive days. It can be represented as follows:


The mean of this data is calculated as,

Mean=Sum of all data pointsTotal number of data points=3+4+6+3+25=185=3.6

Thus, the mean of the number of pencils sold is greater than the smallest value in the data set.

Hence, the given statement is false.

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