The given numbers are
6, 3, 5, 6, 7, 5, 8, 7, 6, , 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 must be equal to 7 as only then number 7 occurs the maximum number of times in our data.
So
Therefore, the value of k in data is 3.