225k views
20 votes
Find the interquartile range. 44, 75, 62, 41, 59, 60, 79, 44, 49​

1 Answer

10 votes

Answer:

24.5 is our interquartile range

Explanation:

First, you need to order the data set from least to greatest:

41, 44, 44, 49, 59, 60, 62, 75, 79

We have a total of 9 numbers in the data set.

**Note: Our minimum is 41 and our maximum is 79, this is important**

Next, we need to find the median in order to get the numbers divided into groups to find quartiles 1 and 3 easily.


Our median is the middle number which is 59.

**If you have an even set, find the 2 numbers in the middle add them, then divide by 2.**

Our data set without the median:

Data set 1: 41, 44, 44, 49

Data set 2: 60, 62, 75, 79

Now find the median of data sets 1 and 2.

Data set 1: 44+44/2 -> 88/2 =44

Data set 2: 62+75/2 -> 137/2 = 68.5

Now that we have quartiles 1 and 3, we need to take 68.5 and subtract it by 44.

68.5 - 44 = 24.5

24.5 is our interquartile range

User MahdeTo
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories