Question

The following data shows the number of students participated in the children's day celebration from different grades. If the range of the data set is 20, find the value of x.

• A. 34
• B. 22
• C. 30
• D. 28

Answer 1

The correct option is A 34

The given data set is

26, 16, 14, 18, 24, 20, x

We can calculate the value of x by two methods: we can assume x to be the maximum value or we can assume x to be the minimum value.

Let us assume, x to be the minimum value of data.

Maximum value = 26

$⟹$ 20 = 26 - x

$⟹$ x = 26 - 20 = 6

But, 6 is not available in the options.



Let us assume, x to be the maximum value in the data.

Range = Maximum value - Minimum value

Minimum value = 14

$⟹$ 20 = x - 14

$⟹$ x = 20 + 14 = 34

Hence, the value of x is 34.