Question

For what value of K is the mode of the following data 9? 3,5,6,3,6,9,7,8,5,9, K and 4. If 3 is added to each element of the above data, find the new mode.

Answer 1

Answer:

Mode is the value which occurs most often in the data set of values.

Given data values are 2,4,6,7,5,6,10,6,7,2k+1,9,7,13

In the above data set, values 6,7 have occured more times i.e., 3 times

But given that mode is 7. So, should occur more times than 6. Hence the variable 2k+1 must be 7

⟹2k+1=7

⟹2k=6⟹k=

2

6

⟹k=3