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Chapter 2: Q. 29 (page 132)

Mina is waiting in line at the Department of Motor Vehicles (DMV). Her wait time of 32minutes is the 85th percentile of wait times. Is that good or bad? Write a sentence interpreting the 85th percentile in the context of this situation.

Short Answer

Expert verified

It would be bad for Mina to have to wait time at 85thpercentile because 85%of people had shorter wait time than Mina and only 15%of people had larger wait times than Mina.

Step by step solution

01

Definition

In statistics, the percentiles are the partition values. Percentile divides the entire data into 100equal parts. The 50thpercentiles denotes median and below this value lies 50%of data. Similarly 60thpercentile will have 60%of data below it.

02

Explanation

The formula for finding the Kth percentile is:

kthpercentile=k(N+1)100thitem

In the given situation, the Mina's waiting time is 32minutes, which is at 85thpercentile value and it would not be good for mina as 85%of people had shorter wait time than mina. In this context, mina would prefer a wait time corresponding to a lower percentile. The interpretation of the85thpercentile in the given context is85%of people at theDMVwaited32minutes or less.

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