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Chapter 2: Q. 69 (page 137)
The following data are the distances between 20 retail stores and a large distribution center. The distances are in miles. Use a graphing calculator or computer to find the standard deviation and round to the nearest tenth.
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The number of books checked out from the library from students are as follows:
Find the mode.
Suppose that you are buying a house. You and your realtor have determined that the most expensive house you can afford is the percentile. The percentile of housing prices is in the town you want to move to. In this town, can you afford of the houses or of the houses?
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.
First quartile = _______
Given the following box plot:
Figure 2.41
a. which quarter has the smallest spread of data? What is that spread?
b. which quarter has the largest spread of data? What is that spread?
c. find the interquartile range (IQR).
d. are there more data in the interval 5鈥�10 or in the interval 10鈥�13? How do you know this?
e. which interval has the fewest data in it? How do you know this?
i. 0鈥�2
ii. 2鈥�4
iii. 10鈥�12
iv. 12鈥�13
v. need more information
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鈥�35
ii. 38鈥�41
iii. 41鈥�64
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