Question

Which data set would produce the following 5-number summary?

16, 21, 24, 26, 28

Group of answer choices

24, 18, 22, 23, 23, 21, 28

24, 18, 22, 25, 30, 21, 20

24, 16, 22, 28, 26, 21, 24

24, 16, 22, 25, 28, 21, 24

Answer 1

Since we know that in 5 number summary we get

Minimum value,1st quartile ,median ,3rd quartile , maximum value

So

As we have number summary 16,21,24,26,28

Now

Min value =16

Max =28

So on comparing min value with the data in options then we got to know that option (1) and (2) have min value of 18 so option (1) and (2) can't be correct option

Now

Now only one value is different b/W option (3) and (4)

That is 25 and 26

Since median is 24 so both can be 3rd quartile

3rd quartile of option (3) is 26 while that of (4) is 25

So option (3) 5 number summary is exactly matching with given summary hence option (3) is correct.