Question

find the first and third quartiles, Q1, and Q3, of the following numbers, 13,5,12,16,7,14,7,3,10,7

Answer 1

The first Q1 would be ( 1+n)4 = which is the 25 % of the data set

and the Q3 would be n(3)/4 = the 75 % of the data :

So for Q1 its :
n= 10

(1+11)/4 = 3

The 3 is not the q1, this just tells where at what position the number is so the thirds number in the data set is 12, so therefore Q1= 12

Answer 2

corrections first put the numbers is order:

And Q3 is (n+1)3/4

3,5,7,7,7,10,12,13,14,16,

SO Q1= 7

and Q3= 12(3)/4 = 9
So the 9th number is 14 therefore Q3= 14

Answer 3

I am still not understanding how you came up with the answer, can you explain how to do it Thanks