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Airline passenger travel light, others heavy. Assume that the weight of the carrry on bags is...

Airline passenger travel light, others heavy. Assume that the weight of the carrry on bags is uniformly distributed between 4 and 24 pounds.

  1. What is median weight of airline bags?

  2. How much would a carry on bag weigh in the 80th percentile?

  3. Computer interquartile weight of carry on bags

  4. A carry on bag weighs 15 pounds . in what quartile is it?

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Answer #1

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

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