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Chapter 2: Q. 53 (page 134)
When the data are symmetrical, what is the typical relationship between the mean and median?
When the data are symmetrical, the mean and median are close or the same.
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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?
What is the difference between relative frequency and frequency for each data value in Table ?
Javier and Ercilia are supervisors at a shopping mall. Each was given the task of estimating the mean distance that shoppers live from the mall. They each randomly surveyed shoppers. The samples yielded the following information.
a. How can you determine which survey was correct ?
b. Explain what the difference in the results of the surveys implies about the data.
c. If the two histograms depict the distribution of values for each supervisor, which one depicts Ercilia's sample? How do you know?
d. If the two box plots depict the distribution of values for each supervisor, which one depicts Ercilia鈥檚 sample? How do you know?
Use the following information to answer the next three exercises: We are interested in the number of years students in a particular elementary statistics class have lived in California. The information in the following table is from the entire section.
Use the following information to answer the next nine exercises: The population parameters below describe the full-time equivalent number of students (FTES) each year at Lake Tahoe Community College from 1976鈥�1977 through 2004鈥�2005.
鈥� 渭 = 1000 FTES
鈥� median = 1,014 FTES
鈥� 蟽 = 474 FTES
鈥� first quartile = 528.5 FTES
鈥� third quartile = 1,447.5 FTES
鈥� n = 29 year
What is the IQR? What does the IQR represent?
The median age of the U.S. population in 1980 was 30.0 years. In 1991, the median age was 33.1 years.
a. What does it mean for the median age to rise?
b. Give two reasons why the median age could rise.
c. For the median age to rise, is the actual number of children less in 1991 than it was in 1980? Why or why not?
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