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Chapter 2: Q. 30 (page 132)

In a survey collecting data about the salaries earned by recent college graduates, Li found that her salary was in the 78thpercentile. Should Li be pleased or upset by this result? Explain

Short Answer

Expert verified

Li should be pleased with her salary.

Step by step solution

01

Definition

In statistics, the percentiles are the partition values. Percentile divides the entire data into100equal parts. The 50thpercentiles denote median and below this value lies 50%of data. Similarly 60thpercentile will have60%of data below it.

02

Explanation

The formula for finding the Kth percentile is:

kthpercentile=k(N+1)100thitem

In the given situation, Li's salary is at 78thpercentile; which means78%of recent college graduates earn less than Li does.22%of recent college graduates earn more than Li does.

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Most popular questions from this chapter

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. Complete the table.

Find the interquartile range for the following two data sets and compare them.

Test Scores for Class A

69;96;81;79;65;76;83;99;89;67;90;77;85;98;66;91;77;69;80;94

Test Scores for Class B

90;72;80;92;90;97;92;75;79;68;70;80;99;95;78;73;71;68;95;100

Are the mean and the median the exact same in this distribution? Why or why not?

Describe the relationship between the mode and the median of this distribution.

A music school has budgeted to purchase three musical instruments. They plan to purchase a piano costing 3,000, a guitar costing 550, and a drum set costing 600. The mean cost for a piano is 4,000 with a standard deviation of 2,500. The mean cost for a guitar is 500 with a standard deviation of 200. The mean cost for drums is 700 with a standard deviation of 100. Which cost is the lowest, when compared to other instruments of the same type? Which cost is the highest when compared to other instruments of the same type. Justify your answer.
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