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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

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.
Second quartile = median = 50thpercentile = _______

In a study collecting data about the repair costs of damage to automobiles in a certain type of crash test, a certain model of car had $1700in damage and was in the 90th percentile. Should the manufacturer and the consumer be pleased or upset by this result? Explain and write a sentence that interprets the 90th percentile in the context of this problem.

On a 60point written assignment, the 80thpercentile for the number of points earned was 49. Interpret the 80thpercentile in the context of this situation.

Forty randomly selected students were asked the number of pairs of sneakers they owned. Let X= the number of pairs of sneakers owned. The results are as follows:

a. Find the sample meanx¯.

b. Find the sample standard deviation, s

c. Construct a histogram of the data.

d. Complete the columns of the chart.

e. Find the first quartile.

f. Find the median.

g. Find the third quartile.

h. Construct a box plot of the data.

i. What percent of the students owned at least five pairs?

j. Find the 40thpercentile.

k. Find the 90thpercentile.

l. Construct a line graph of the data.

m. Construct a stemplot of the data.

Find the mean for the following frequency tables
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