Question

What are the minimum, first quartile, median, third quartile, and maximum of the data set?

40,7,2,35,12,23,18,28

Answer 1

Well, that is an interesting question

First of all, we need to re-arrange these values and put them in order

40,7,2,35,12,23,18,28

ordered: 2,7,12,18,23,28,35,40


minimum value is the least value = 2

maximum value is the highest record = 40

The median is the middle score for a set of data that has been arranged in order (if the number of values is odd). For the case of even values number, you simply have to take the middle two scores and average the result

median =
`(18+23)/(2)= (41)/(2) =20.5`


The first quartile is the median of the left-side group of records {2,7,12} after assigning the median (20.5)


`Q_1=7`



The third quartile is the median of the right-side group of records {28,35,40} after assigning the median (20.5)


`Q_3=35`

And we are done now.


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