The first quartile of a data set is 41, and the third quartile is 57. Which of these values in the data set is an outlier?

A. 83
B. 73
C. 19
D. 39

Question

The first quartile of a data set is 41, and the third quartile is 57. Which of these values in the data set is an outlier?

 		A.	83
 		B.	73
 		C.	19
 		D.	39

lilkg77 · Answer

@wolfcherry

lilkg77 · Answer

@mathmale

welshfella · Answer

the interquartile range is 57-41 = 16
Any point  outside 1.5 times the interquartile  the lower or upper quartile is an outlier

so 1.5 * 16 = 24

welshfella · Answer

So which points are outsdie tihs rangge

anonymous · Answer

RIGHT

welshfella · Answer

so 41 - 24 = 17  
- so 19 is NOT an outlier

can you see which ones are?

welshfella · Answer

Hint: there is one above the upper quartile (which is 57)

welshfella · Answer

add 24 to 57  and see which ones are outside the result

lilkg77 · Answer

81

welshfella · Answer

ok so  what have we got above 81?

welshfella · Answer

- what number in the list is > 81

lilkg77 · Answer

83

welshfella · Answer

yes  So that is an outlier

welshfella · Answer

any number less than 17 or greater than 81 is an outlier

texaschic101 · Answer

Q3 - Q1 = IQR

Q1 - 1.5 * IQR....anything below this is an outlier
Q3 + 1.5 * IQR....anything above this is an outlier

lilkg77 · Answer

Thanks for the help @welshfella @texaschic101

welshfella · Answer

yw

texaschic101 · Answer

yw