Question: Find the Mean in the Boxplot

Comment on Find the Mean in the Boxplot

I got different answer.

_ _|(q1=2)_ _|(q2=5)_ _|(q3=6)_ _

possible data around q2 => 5 & 5, 4 & 6, 3 & 7, 2 & 3.
possible data around q1 => 2 & 2
possible data around q3 => 6 & 6, 5 & 7

in q2 => 3 & 7 and 2 & 3 are not possible since q1 = 2.
1 2 2 5 5 5 7 10

i got mean as 4.6, where is the mistake?, please help.
greenlight-admin's picture

You have {1 2 2 5 5 5 7 10}
However, the greatest value is shown on the boxplot as 9 (not 10, as you have)

I thought it was supposed to be 9 numbers since the box plot starts from 1 and extends to 9

I didn't read the question properly i see 8 integers now

can we do it like this that since the number are evenly spaced and the median in box plot is 5 and so the mean =median ,for the evenly spaced numbers.
greenlight-admin's picture

That approach will work IF we're told the numbers are equally (aka evenly) spaced. However, for this question, we aren't told that the numbers are equally spaced. In fact, the mean here is 4.5, while the median is 5.

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