Question

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

Answer 1

Value of k is 3.

Step-by-step explanation:

We are the following data below;

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

Now, we are given that the mode of the data is 7 and we have to find the value of k.

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

Suppose we have 3 data values in the data (3, 5 and 7) and they are repeating themselves such that 3 is occurring 4 times, 5 is occurring 2 times and 7 is occurring 1 time. So, mode of this data will be 3 as it is appearing maximum number of times.

Now, after observing our data, we can see that two numbers and coming maximum number of times in our data that is 6 and 7 as both are appearing 3 times 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 maximum number of times in our data.

SO,           $2k+1=7$

                 $2k=7-1$

                  $2k=6$

                   k = 3

Therefore, the value of k in data is 3.