Airline passenger travel light, others heavy. Assume that the weight of the carrry on bags is uniformly distributed between 4 and 24 pounds.
What is median weight of airline bags?
How much would a carry on bag weigh in the 80th percentile?
Computer interquartile weight of carry on bags
A carry on bag weighs 15 pounds . in what quartile is it?
a) Median weight = (4 + 24)/2 = 14
b) Let 80th percentile is x. Then:
(x - 4) / (24 - 4) = 0.80
x - 4 = 16
x = 20
c) 75th percentile:
(x - 4) / (24 - 4) = 0.75
x = 19
25th percentile:
(y - 4) / (24 - 4) = 0.25
y = 9
Hence,
Interquartile weight = 75th percentile - 25th percentile = 19 - 9 = 10
d) Percentile for 15 pounds = (15 - 4) / (24 - 4) = 11/20 = 0.55
Airline passenger travel light, others heavy. Assume that the weight of the carrry on bags is...
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