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Chapter 2: Q. 68 (page 137)
In a perfectly symmetrical distribution, when would the mode be different from the mean and median?
The mean and median are same, in perfectly symmetrical distribution. Mode depends on the number of samples.
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Use the two frequency tables to compare the life expectancy of men and women from randomly selected countries. Include an overlayed frequency polygon and discuss the shapes of the distributions, the center, the spread, and any outliers. What can we conclude about the life expectancy of women compared to men?
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.
percentile = _______
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?
Discuss the mean, median, and mode for each of the following problems. Is there a pattern between the shape and measure of the center?
What word describes a distribution that has two modes?
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