Question

calculate the third quartile, Q3 for the following data 39, 9, 27, 40, 10, 11, 36,...

calculate the third quartile, Q3 for the following data

39, 9, 27, 40, 10, 11, 36, 42, 11, 8, 18

a) 22.818

b) 8

c) 39

d) 42

e) 18

- I'm doing 3(11+1/4) and keep getting 9 but that's not an answer choice.

Homework Answers

Answer #1

Let me help you with this.

The first task is to put the data into ascending order, as shown in the table below

Position X (Asc. Order)
1 8
2 9
3 10
4 11
5 11
6 18
7 27
8 36
9 39
10 40
11 42

For Q3​ we have to compute the following position:

Since 9 is an integer number, Q3​ is computed by locating the value that is 9th position in the table with data in ascending order, which means that in this case

OPTION C

You were calculating the position, not the quartile.

Hopefully, this clears things up!
If satisfied, please do upvote! Let me know in the comments if anything is unclear. I will reply ASAP

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