# How do you find the range and interquartile range for 3, 7, 4, 6, and 5?

Dec 5, 2016

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.