Question 115345: Find the first and third quartiles, Q1 and Q3, of the following set of numbers.
14, 3, 13, 17, 6, 15, 6, 2, 11, 6
I ran into another problem I am not sure of. Would this be 3 and 15? :} Maybe?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Q1 is 6
Q3 is 14
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Why?
Q1 is the 25%ile
There are 10 data elements
25% of 10 is 2.5 ; round up to 3
So the 3rd element in the sorted list of elements is Q1
The elements listed from least to greatest looks like this:
2,3,6,6,6,11,13,14,15,17
Therefore Q1 is 6
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How about Q3?
Q3 is the 75%ile
75% of 10 is 7.5
So, Q3 is the 8th element or 14.
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Cheers,
Stan H.
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