Question 283555: I need to find the five-number summary of 26,30,38,67,59,21,17,85,22,22. After placing them in order of 17,21,22,22,26,30,38,59,67,85, I found the Min= 17, Q1 = 22, Median Q2= 30, Q3= 59, and Max =85. Is this correct? Please advise. Thank you.
Answer by Edwin McCravy(20054)   (Show Source):
You can put this solution on YOUR website! I need to find the five-number summary of 26,30,38,67,59,21,17,85,22,22. After placing them in order of 17,21,22,22,26,30,38,59,67,85, I found the Min= 17, Q1 = 22, Median Q2= 30, Q3= 59, and Max =85. Is this correct? Please advise. Thank you.
The median, Q2 is wrong. The rest are right.
Since there are 10 numbers, which is an even number,
to find the median you must average the middle TWO
numbers. There is not just one single middle number as there
is when there are an odd number of numbers. The 30 is NOT
the middle number so it is NOT the median.
17,21,22,22,26,30,38,59,67,85,
You must average those two numbers in the middle which I have
colored red above.
 .
Edwin
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