You can check it in some software, for example in Microsoft Excel or Statsoft Statistica and it will give you number 4.75. However, you can't do classic average of 4 and 5, but you must take account of that 4 is quantile on p=0,181818... and 5 is quantile on p=0,2727... so quantile on p=0,25 (our lower quartile) is closer to 5. With simple calculation (i.e. Cross-multiplication) you find right value 4.75.
Or you can realize that what you are doing is absolutely ridiculous on a data set with 12 elements in it.
But feel free to alert me when you have rewritten all the high school Algebra books to use your approach ... As well as when you have wolframalpha reprogrammed, as it agrees with me on what the quartiles are. And quartiles are what I teach to high school freshmen, not p=0,25 quantiles.
Otherwise, someone will be awfully busy grading old Regents exams going back probably decades.
Mr. Burke is a high school math teacher in New York as well as a part-time writer, and a fan of science-fiction/fantasy books and films.
He started making his own math webcomic totally by accident as a way of amusing his students and trying to make them think just a little bit more.
Unless otherwise stated, all math cartoons and other images on this webpage are the creation and property of Mr. Chris Burke and cannot be reused without permission.
Thank you.
4 comments:
That's wrong, lower quartile is 4,75!
No, 9 divided by 2 is 4.5.
What method are you using to arrive at that?
You can check it in some software, for example in Microsoft Excel or Statsoft Statistica and it will give you number 4.75. However, you can't do classic average of 4 and 5, but you must take account of that 4 is quantile on p=0,181818... and 5 is quantile on p=0,2727... so quantile on p=0,25 (our lower quartile) is closer to 5. With simple calculation (i.e. Cross-multiplication) you find right value 4.75.
Or you can realize that what you are doing is absolutely ridiculous on a data set with 12 elements in it.
But feel free to alert me when you have rewritten all the high school Algebra books to use your approach ... As well as when you have wolframalpha reprogrammed, as it agrees with me on what the quartiles are. And quartiles are what I teach to high school freshmen, not p=0,25 quantiles.
Otherwise, someone will be awfully busy grading old Regents exams going back probably decades.
Have a nice evening.
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