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.