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Consider the following statements in respect of the set $S=\{1,2,3,4,.......n\}$1. $(n+1)/2$ is the median of the numbers is $S$.2. $n$ is the mode of the numbers is/are correct?A. 1 onlyB.2 onlyC. Both 1 and 2D. Neither 1 nor 2

Last updated date: 19th Jul 2024
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Hint: To solve this particular problem we need to know the basics about sets and median and mode of numbers, there are two statements given, we should go through each and analyze the validity of those statements separately.

In the first statement it is given that, $(n+1)/2$ is the median of the numbers $S$.
This statement is incorrect because it is not given that the given value of $n$ is odd or even and the provided equation in the statement is the formula of median of odd number of observations, so clearly the given first statement is wrong.
In the second statement it is given that, $n$ is the mode of the numbers in S.