Question

Given the numbers are 3, 5, 7, 8, the interquartile range is

Answer 1

Answer:

The range is 4 and the interquartile range (IQR) is 3.

Explanation:

To find the range, simply arranged the numbers from least to greatest and subtract the smallest number from the largest number.

3

,

4

,

5

,

6

,

7

7

−

3

=

4

Therefore, the range is 4.

To find the IQR, the numbers must be organized into quartiles, and the first quartile must be subtracted from the third.

In this case:

3 is the minimum (0%)

3.5 is the first quartile (25%)

5 is the second quartile (50%)

6.5 is the third quartile (75%)

and 7 is the maximum (100%)

Now, since 6.5 is the third quartile and 6.5 is the first quartile, our expression to find the IQR is 6.5-3.5, which equals 3.