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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

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:

median = _______

Javier and Ercilia are supervisors at a shopping mall. Each was given the task of estimating the mean distance that shoppers live from the mall. They each randomly surveyed 100shoppers. The samples yielded the following information.

a. How can you determine which survey was correct ?

b. Explain what the difference in the results of the surveys implies about the data.

c. If the two histograms depict the distribution of values for each supervisor, which one depicts Ercilia's sample? How do you know?

d. If the two box plots depict the distribution of values for each supervisor, which one depicts Ercilia’s sample? How do you know?

Use the following information to answer the next three exercises: We are interested in the number of years students in a particular elementary statistics class have lived in California. The information in the following table is from the entire section.

The following data set shows the heights in inches for the boys in a class of 40students.

66;66;67;67;68;68;68;68;68;69;69;69;70;71;72;72;72;73;73;74

The following data set shows the heights in inches for the girls in a class of 40students.

61;61;62;62;63;63;63;65;65;65;66;66;66;67;68;68;68;69;69;69

Construct a box plot using a graphing calculator for each data set, and state which box plot has the wider spread for the middle 50%of the data.

Six hundred adult Americans were asked by telephone poll, "What do you think constitutes a middle-class income?" The results are in Table 2.69. Also, include left endpoint, but not the right endpoint.

a. What percentage of the survey answered "not sure"?

b. What percentage think that middle-class is from \(25,000 to \)50,000? c. Construct a histogram of the data.

i. Should all bars have the same width, based on the data? Why or why not?

ii. How should the <20,000 and the 100,000+ intervals be handled? Why? d. Find the 40th and 80th percentiles

e. Construct a bar graph of the data

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.

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