How to calculate lower & upper quartiles? I'm sure this has been asked many times before but it's

Emmy Knox

Emmy Knox

Answered question

2022-06-21

How to calculate lower & upper quartiles?
I'm sure this has been asked many times before but it's confusing me a lot so hopefully someone can help!
I am given this data set:
0.28 0.30 0.42 0.59 0.71 1.67 1.82 2.39 4.71 4.79 4.89 5.00 5.00 5.76 6.09 6.17 6.81 7.12 7.44 8.05 8.59 8.86 9.04 9.78
There are 24 numbers here. I need to find the lower & upper quartile. I figured that the median is 5.00
And looking at the answer sheet the Lower Quartile is 1.745 and the Upper quartile is 7.28
My question is how do i get to these answers!?
Thank you in advance.

Answer & Explanation

Layla Love

Layla Love

Beginner2022-06-22Added 29 answers

There are 24 values, and you have already ordered them. The 12th and 13th values are 5.00, so the median is indeed 5.00.
The lower quartile is indeed the median of the lower half. Since there are 12 numbers in the lower half, the median is the average of the 6th and the 7th one, which is exactly 1.745. If there were an odd number of items, you could simply take the middle one. (Typically the middle one of an even number of entries is taken to be the average of the two middle ones.)
I leave it to you to check that this method gives the answers you are supposed to get.

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