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Question

# Consider the following statement for a data set with more than two data points, "The mean and median of the data set with even number of terms is same." Is this statement correct?

A
Yes
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B
No
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Solution

## The correct option is B NoConsider the following set of numbers, The mean of the data set is, Mean=Sum of all data pointsTotal number of data points=3+6+5+8+8+96=396=6.5 Now arrange the given set of numbers in ascending order. Observe the two middle numbers and find their mean. The two middle numbers are 6 and 8 and hence their mean is, Mean=6+82=142=7 Thus, the median of the given set of numbers is 7. Hence, the mean of the given set of numbers is not same as the median of the set of numbers. So, the given statement is wrong.

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