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Chapter 2: Q. 42 (page 133)
Find the mean for the following frequency tables
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The following data represent the number of employees at various restaurants in New York City. Using this data, create a histogram.
and
Use as the first interval.
Use the following information to answer the next three exercises: The following data show the lengths of boats moored in a marina. The data are ordered from smallest to largest:
Calculate the mean
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?
a. For runners in a race, a low time means a faster run. The winners in a race have the shortest running times. Is it more desirable to have a finish time with a high or a low percentile when running a race?
b. The percentile of run times in a particular race is minutes. Write a sentence interpreting the percentile in the context of the situation.
c. A bicyclist in the percentile of a bicycle race completed the race in hour and minutes. Is he among the fastest or slowest cyclists in the race? Write a sentence interpreting the percentile in the context of the situation.
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. 31–35
ii. 38–41
iii. 41–64
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