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

##### 1 Answer

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.

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.