The ages (in years) of audience members at a recent concert were: 10 15 35 20 10

Question

The ages (in years) of audience members at a recent concert were: 10 15 35 20 10 25 50 45 55 15 15 50 30 5 50 18 18 32 a. Find the age of an audience member that represents the 45th percentile. b. What percentile corresponds to an age of 45? The ages (in years) of audience members at a recent concert were: 10 15 35 20 10 25 50 45 55 15 15 50 30 5 50 18 18 32 a. Find the age of an audience member that represents the 45th percentile. b. What percentile corresponds to an age of 45? 10 15 35 20 10 25 50 45 55 15 15 50 30 5 50 18 18 32 a. Find the age of an audience member that represents the 45th percentile. b. What percentile corresponds to an age of 45?

Explanation / Answer

Ans:

Sorted data set:

a)45th percentile means that 45% of the data lie below it,so 45th percentile will lie around 8th position,45th percentile will be 19.3

b)45 is on 14th position,so 13 data points falls below it and percentile rank will be (13/18)*100=73th percentile approximately.

5 25 10 30 10 32 15 35 15 45 15 50 18 50 18 50 20 55

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