A five-number summary (min, Q1, median, Q3, max) for a set of data is (15, 20, 35, 50, 115). Which is the largest number listed below that is not an outlier?

A. 82
B. 67
C. 100
D. 59
E. 115

Question

A five-number summary (min, Q1, median, Q3, max) for a set of data is (15, 20, 35, 50, 115). Which is the largest number listed below that is not an outlier? 

A. 82
B. 67
C. 100
D. 59
E. 115

amistre64 · Answer

by convention, q1 to q3 define the range that excludes any outliers

hockeychick23 · Answer

@amistre64 i got 82 when using the formula, can you check my answer please?

amistre64 · Answer

min, Q1, median, Q3,  max
 15   20      35      50   115
  *---|          |         |---*

this is our box plot

anything over 50, or under 20  is by convention outlying

as an educated guess, i would pick the value closest to 50

amistre64 · Answer

what formula did you use?

hockeychick23 · Answer

i did Q3-Q1 and got 30 and then i did 1.5*30 and got 45.

amistre64 · Answer

http://www.mathwords.com/o/outlier.htm this sounds like what your attempting

amistre64 · Answer

30*1.5 = 45

50+45 is at most 95

82 is the largest number that is equal to or less than 95

so that seems plausible to me

i never knew that 'rule' or formula

hockeychick23 · Answer

ok thanks!