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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola
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In Exercises, find the range, variance, and standard

Chapter 3, Problem 5BSC

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QUESTION:

In Exercises 5–20, find the range, variance, and standard deviation for the given sample data. Include appropriate units (such as “minutes”) in your results. (The same data were used in Section 3­2 where we found measures of center. Here we find measures of variation.) Then answer the given questions.

Top 10 Celebrity Incomes Listed below are the earnings (in millions of dollars) of the celebrities with the 10 highest incomes in a recent year. The celebrities in order are Steven Spielberg, Howard Stern, George Lucas, Oprah Winfrey, Jerry Seinfeld, Tiger Woods, Dan Brown, Jerry Bruckheimer, J. K. Rowling, and Tom Cruise. Can this “Top 10” list be used to learn anything about the standard deviation of the annual earnings of all celebrities?

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QUESTION:

In Exercises 5–20, find the range, variance, and standard deviation for the given sample data. Include appropriate units (such as “minutes”) in your results. (The same data were used in Section 3­2 where we found measures of center. Here we find measures of variation.) Then answer the given questions.

Top 10 Celebrity Incomes Listed below are the earnings (in millions of dollars) of the celebrities with the 10 highest incomes in a recent year. The celebrities in order are Steven Spielberg, Howard Stern, George Lucas, Oprah Winfrey, Jerry Seinfeld, Tiger Woods, Dan Brown, Jerry Bruckheimer, J. K. Rowling, and Tom Cruise. Can this “Top 10” list be used to learn anything about the standard deviation of the annual earnings of all celebrities?

ANSWER:

Solution 5BSC

From the given information, the earnings (in millions of dollars) of the celebrities with the 10 highest incomes in a recent year are.

From the given information, maximum data value is $332 million and minimum value is $67 million. We know that range of the given set of sample values found as follows:

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