Question

The following data shows the number of pizza sold on different days in a cafetaria.


What could be the value of x, if the range of the data is 15?

• A. 37
• B. 18
• C. 39
• D. 19

Answer 1

The correct option is A 37

The given data set is

24, 29, 22, 30, x

Range = Maximum value - Minimum value

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.

Highest number from the given data = 30

Range = Maximum value - Minimum value

$⟹$ 15 = 30 - x

$⟹$ x = 30 - 15

= 15

But, 15 is not available in the given options.

Let us assume x to be the maximum value.

Range = Maximum value - Minimum value

15 = x - 22

$⟹$ x = 22 +15

$⟹$ x = 37

Hence, the value of x is 37.