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Chapter 2: Q. 2.28 (page 103)
The number of books checked out from the library from students are as follows:
Find the mode.
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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
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.
Interquartile range (IQR) = _____ 鈥� _____ = _____
The height in feet of trees is shown below (lowest to highest).
Describe the relationship between the mode and the median of this distribution.
Following are the published weights (in pounds) of all of the team members of the San Francisco from a previous year.
role="math" localid="1648013012857"
a. Organize the data from smallest to largest value.
b. Find the median.
c. Find the first quartile.
d. Find the third quartile.
e. Construct a box plot of the data.
f. The middle of the weights are from _______ to _______.
g. If our population were all professional football players, would the above data be a sample of weights or the population of weights? Why?
h. If our population included every team member who ever played for the San Francisco , would the above data
be a sample of weights or the population of weights? Why?
i. Assume the population was the San Francisco . Find:
i. the population mean, .
ii. the population standard deviation, .
iii. the weight that is two standard deviations below the mean.
iv. When Steve Young, quarterback, played football, he weighed pounds. How many standard deviations above or below the mean was he?
j. That same year, the mean weight for the Dallas Cowboys was pounds with a standard deviation of pounds. Emmit Smith weighed in at pounds. With respect to his team, who was lighter, Smith or Young? How did you determine your answer?
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