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Chapter 2: Q. 67 (page 137)
Of the three measures, which tends to reflect skewing the most, the mean, the mode, or the median? Why?
The outliers have the greatest impact on the mean, therefore mean tends to reflects skewing the most.
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Use the following information to answer the next two 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.
Construct a box plot below. Use a ruler to measure and scale accurately
The following data sets list full time police per citizens along with homicides per citizens for the city of Detroit, Michigan during the period from
a. Construct a double time series graph using a common x-axis for both sets of data.
b. Which variable increased the fastest? Explain.
c. Did Detroit鈥檚 increase in police officers have an impact on the murder rate? Explain.
Suppose that you are buying a house. You and your realtor have determined that the most expensive house you can afford is the percentile. The percentile of housing prices is in the town you want to move to. In this town, can you afford of the houses or of the houses?
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.
Discuss the mean, median, and mode for each of the following problems. Is there a pattern between the shape and measure of the center?
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