Question

If the mode of the following data
is 7 then find k in 2 4 6 7 5 6 10 2k+1 9 7 13

Answer 1

2 4 6 7 5 6 10 2×10 +1 9 7 13
2 4 6 7 5 6 10 20+1 9 7 13
2 4 6 7 5 6 10 21 9 7 13

Answer 2

Given :

Data :2, 4 ,6 ,7 ,5 ,6 ,10 ,2k+1 ,9 ,7 ,13

To find :

If the mode of the following data is 7 then find k

Solution:

Data    No. of times occurred

2                1

4                1

6                2

7                 2

5                 1

10                1

9                1

13                1

The most occurring numbers are 6 and 7

Since 7 is the mode

So, 7 = 2k+1

6=2k

3=k

Hence  The value of k is 3