Question

The following data consists of the scores in a statistics exam. What is the inter-quartile range of this data rounded to the nearest whole number? 80, 99, 77, 67, 93, 71, 76, 86, 79, 71

Answer 1

IQ R = 15

Explanation:

given numbers,

80, 99, 77, 67, 93, 71, 76, 86, 79, 71

arranging numbers in ascending order

67, 71, 71, 76, 77 : 79, 80, 86, 93, 99

lower half : upper half

inter quartile range = IQR = Q₂ - Q₁

Q₂ = median of the upper half

= 86

Q₁ = median of the lower half

= 71

so,

IQ R = Q₂ - Q₁

= 86 - 71

IQ R = 15