A distribution has the five-number summary shown below. What is the range

of this distribution?

21, 32, 49, 67, 75

A) 75

B) 35

C) 21

D) 54

Option D : 54 is the range of the distribution

Explanation:

The given distribution is 21, 32, 49, 67, 75

The range of the distribution is the difference between the highest value and the lowest value in the distribution.

From the given data, we can see that,

Highest value = 75

Lowest value = 21

The range can be determined by subtracting by the highest value and the lowest value.

Thus, we have,

Range = Highest value - Lowest value

Range = 75 - 21

Range = 54

Thus, the range of the given distribution is 54.

Hence, Option D is the correct answer.