Question

What is the value of X if the mode of given data is 15
15,20,18,25,14,15,25,15,18,16,20,25,20,x,18

Answer 1

Mode is the most repeated observation in a given set of data.

Given: The mode is 15.

To find: The value of x.

Answer:

Observations: 15, 20, 18, 25, 14, 15, 25, 15, 18, 16, 20, 25, 20, x, 18.

Here, we can see that 15, 20, 25 and 18 are the most repeated observations and are also repeated the same number of times. But it is also given that the mode is 15 and not 20, 25 or 18. So it's only fair if x = 15

Therefore, value of x = 15.

Hope it helps :)