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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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Most popular questions from this chapter

The number of books checked out from the library from 25students are as follows:

0;0;0;1;2;3;3;4;4;5;5;7;7;7;7;8;8;8;9;10;10;11;11;12;12

Find the mode.

Use the following information to answer the next three exercises: Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell three cars; nineteen generally sell four cars; twelve generally sell five cars; nine generally sell six cars; eleven generally sell seven cars. Calculate the following:

sample mean = x¯= _______

Forty bus drivers were asked how many hours they spend each day running their routes (rounded to the nearest hour). Find the 65thpercentile.

The University of California has two criteria used to set admission standards for freshmen to be admitted to a college in the UC system:

a. Students' GPAs and scores on standardized tests (SATs and ACTs) are entered into a formula that calculates an "admissions index" score. The admissions index score is used to set eligibility standards intended to meet the goal of admitting the top 12%of high school students in the state. In this context, what percentile does the top 12%represent?

b. Students whoseGPAs are at or above the 96th percentile of all students at their high school are eligible (called eligible in the local context), even if they are not in the top 12%of all students in the state. What percentage of students from each high school are "eligible in the local context"?

Use the following information to answer the next six exercises. Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell three cars; nineteen generally sell four cars; twelve generally sell five cars; nine generally sell six cars; eleven generally sell seven cars.

70thpercentile = _______
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