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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.

10thpercentile = _______

Short Answer

Expert verified

We get 10thpercentile is 3.

Step by step solution

01

Given information

From Sixty-five car salespersons, fourteen people answered that they sell three cars; nineteen generally sell four cars; twelve generally sell five cars; nine generally sell six cars; eleven generally sell seven cars in one week.

02

Explanation

According to the given information, the data is

33333333333333444444444444444444455555555555566666666677777777777

Here we divide all these 65data on a 100scale. We asked to find the 10thpercentile of the number of cars sold which is the first 10%of the data. Hence we get 10%of the data from the first is 3.

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Most popular questions from this chapter

A survey was conducted of 130 purchasers of new BMW 3 series cars, 130 purchasers of new BMW 5 series cars, and 130 purchasers of new BMW 7 series cars. In it, people were asked the age they were when they purchased their car. The following box plots display the results.

a. In complete sentences, describe what the shape of each box plot implies about the distribution of the data collected for that car series.

b. Which group is most likely to have an outlier? Explain how you determined that.

c. Compare the three box plots. What do they imply about the age of purchasing a BMW from the series when compared to each other?

d. Look at the BMW 5 series. Which quarter has the smallest spread of data? What is the spread?

e. Look at the BMW 5 series. Which quarter has the largest spread of data? What is the spread?

f. Look at the BMW 5 series. Estimate the interquartile range (IQR).

g. Look at the BMW 5 series. Are there more data in the interval 31 to 38 or in the interval 45 to 55? How do you know this?

h. Look at the BMW 5 series. Which interval has the fewest data in it? How do you know this?

i. 31–35

ii. 38–41

iii. 41–64

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

Twenty-five randomly selected students were asked the number of movies they watched the previous week. The results are as follows:

Construct a box plot of the data.

2.42What is the difference between relative frequency and frequency for each data value in Table 2?

The following box plot shows the U.S. population for 1990, the latest available year.

a. Are there fewer or more children (age 17 and under) than senior citizens (age 65 and over)? How do you know?

b. 12.6% are age 65 and over. Approximately what percentage of the population are working age adults (above age 17 to age 65)?

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