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The second quartile marks 50% (Q2 = 13 — the median)
The third quartile marks 75% (Q3 = 22)
It’s hard for me to catch the concepts.
The idea that I understood is that 1Q is 25% of total span; in this case, 22(28-6).
How come Q1 would be 10? and
Q2 is 13. but the summary above said that 13 - the median.
I think 13 is already the median in that range.
Thank you for your time to answer my question, and have a happy coding life
Thank you so much! I was totally lost by the numbers in the examples. Now, I understand how each quartile value was calculated.
I’m still a little confused though. The lesson says the distribution spans 22 values (which is 6 to 28). Shouldn’t that be 23 values? 6 + 22 is 28, but is the 6 not included in the span? (or is 28 not included in the span?)
You can see there are totally 20 data points ( the blue dots ). To find IQR - which is basically separated into 3 parts Q1, Q2 and Q3.
Q1 is 25% of total data points. So, out of 20 data points, 25% is 5. So, the first 5 data points is marked as Q1 (which is 10).
Q2 is 50% of total data points. which is right? out of 20 data points, 10 will be the 50%. So, after 10 data points it is marked as Q2(which is 13). Q2 is also known as median. So 13 is median. You said, “but the summary above said that 13 - the median.” the ‘-’ is not subtraction or difference its just a mark ( dash ) indicating 13 is the median.
Q3 is 75%. So, out of 20 data points 75% is 15. So after 15 data points Q3 is marked. Which is 22 here.