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For given data 6, 3,5,6, 7,5,8,7, 6,2k+1,9, 7,13 if mode is 7 value of k​

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 The given numbers are

6, 3, 5, 6, 7, 5, 8, 7, 6, 2k+1, 9, 7, 13

and we are given that the mode of the data is 7

And we know that

MODE of any data is that value which appears the maximum number of times in our data.

After observing data

we can say that

 6 and 7 as both are appearing 3 times (i.e maximum) in the data.

But since in the question it is given that mode of data is 7 which means that the expression 2k+1 must be equal to 7 as only then number 7 occurs the maximum number of times in our data.

So

2k+1=7\\ 2k=6\\k=3

Therefore, the value of k in data is 3.

Posted by

avinash.dongre

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