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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:
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Describe the relationship between the mean and the median of this distribution.
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
Forty randomly selected students were asked the number of pairs of sneakers they owned. Let = the number of pairs of sneakers owned. The results are as follows:
a. Find the sample mean.
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 percentile.
k. Find the percentile.
l. Construct a line graph of the data.
m. Construct a stemplot of the data.
The table shows the number of wins and losses the Atlanta Hawks have had in seasons. Create a side-by-side stem-and-leaf plot of these wins and losses.
Following are the published weights (in pounds) of all of the team members of the San Francisco from a previous year.
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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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