How do I calculate the quartiles for this problem?I have the following list of numbers,...

pachaquis3s

pachaquis3s

Answered

2022-06-25

How do I calculate the quartiles for this problem?
I have the following list of numbers, and I'm trying to calculate the quartiles:
2, 4, 4, 5, 7, 7, 7, 7, 7, 7, 8, 8, 9, 9, 9, 9
I'm running into a bit of confusion because the median turns out to be 7. Now I don't know how to demarcate the lower group from the upper group since there are a whole bunch of 7's. Consequently, I don't know how to calculate Q 1 and Q 3

Answer & Explanation

Belen Bentley

Belen Bentley

Expert

2022-06-26Added 28 answers

So the formula to calculate Quartiles is
Q1 = 1 4 ( n + 1 )
and
Q3 = 3 4 ( n + 1 )
So our n = 16
Hence we have 16+1 = 17*.25 = 4.25
4.25 places along the set of numbers is somewhere inbetween here 5 and 7
so if we split the numbers between 5 and 7 into 4 pieces i.e.
5 5.5 6 6.5 7
We can calculate .25 or 1/4 along the way of our little number line we just created is 5.5
Hence Q1 = 5.5, with this method you should be able to find Q3 which is 8.75
anginih86

anginih86

Expert

2022-06-27Added 8 answers

you just divide the list into quarters.
First divide into half... 2 4 4 5 7 7 7 7|7 7 8 8 9 9 9 9
Then quarters... 2 4 4 5|7 7 7 7|7 7 8 8|9 9 9 9
So Q1 is average of 5 and 7 which is 6, and Q2 is average of 8 and 9 which is 8.5

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get your answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?