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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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a. For runners in a race, a higher speed means a faster run. Is it more desirable to have a speed with a high or a low percentile when running a race?
b. The percentile of speeds in a particular race is miles per hour. Write a sentence interpreting the percentile in the context of the situation.
Santa Clara County, CA, has approximately Japanese-Americans. Their ages are as follows:
a. Construct a histogram of the Japanese-American community in Santa Clara County, CA. The bars will not be the
same width for this example. Why not? What impact does this have on the reliability of the graph?
b. What percentage of the community is under age ?
c. Which box plot most resembles the information above?
Use the following information to answer the next three 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. Calculate the following:
sample mean = = _______
Given the following box plots, answer the questions.
a. In complete sentences, explain why each statement is false.
i. Data 1 has more data values above two than Data 2 has above two.
ii. The data sets cannot have the same mode.
iii. For Data 1, there are more data values below four than there are above four.
b. For which group, Data 1 or Data 2, is the value of “7” more likely to be an outlier? Explain why in complete sentences.
In a sample of households, one house is worth \(. Half of the rest are worth , and all the others are worth . Which is the better measure of the “center”: the mean or the median?
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