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Interquartile Range Process?
724 786 670 760 300 187 190 345 456 732 891 879 324
Rearranged:
187 190 300 324 345 456 670 724 732 760 786 879 891
I found the mean to be 557.23, now I need to find the Interquartile range.
If I take Q3 - Q1, it happens to be 760 - 312 = 448
Is this correct?
(The book says it's 461)
I thought Quartiles are the median of the portion.
From 670 to 891
The median would be 760, why would find the average of 760 & 786?
1 Answer
- 1 decade agoFavorite Answer
Your book is right.
Q1 = 312, as you calculated.
But Q3 is the 10.5 th value, i.e. the value between 760 and 786, i.e 773, not 760!!!
Thus, IQR = Q3 - Q1 = 773 - 312 = 461...
If you want to, you can remember that for an odd number of data:
Q1 = (n+1)/4 th term and Q3 = (n+1)*3/4 th term; (n is the number of values you have!)
