Question

For what value of x make the mode of the following data 10.
7,6,10,x,7,5,12,14.

Answer 1

Answer:

For x = 10, the mode of the data would be 10 or 7.

Answer 2

Given,

Series = 7,6,10,x,7,5,12,14

Total observation = 8

Mode = 10

To Find,

The value of x = ?

Solution,

We know that mode is the number that appears maximum times in a series. So we will sort the series first by keeping x aside.

Sorted series = 5, 6, 7, 7, 10, 12, 14 and x

From the sorted series, we can clearly see the frequency of 7 is 2 and the frequency of 10 is 1. If 10 is the mode then the frequency of 10 should be maximum that is either 2 or greater than 2. If x is equal to 10 then the mode will be 10 or 7.

Soreted series if x = 10: 5, 6, 7, 7, 10, 10, 12, 14.

x = 10 , then mode = 10 or 7.

Hence, the value of x is 10.