Question

What is the interquartile range for the data set?

89, 91, 95, 112, 118, 83, 85, 104, 118, 125, 134, 138

Answer 1

ATTENTION

The person above is INCORRECT!!!!!!!!!!!!

31.5 IS THE CORRECT ANSWER

Explanation:

83, 85, 89, l 91, 95, 104, l 112, 118, 118, l 125, 134, 138

Q₁ = (89 + 91)/2 = 90

Q₂ = (104 + 112)/2 =108

Q₃ = (118 + 125)/2 = 121.5

Interquartile range (IQR) = Q₃ - Q₁

= 121.5 - 90

IQR = 31.5

k12 approved! I had it on my quiz and it is correct.

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Answer 2

Interquatile range (IQR) is given by:
IQR=(Third quartile)-(First quartile)
Given the set of numbers:
89, 91, 95, 112, 118, 83, 85, 104, 118, 125, 134, 138
1st Quartile is given by:
(91+95)/2=93

3rd Quartile is given by:
(125+134)/2
=259/2
=129.5
Thus
IQR=129.5-93
=36.5