In Exercises 5-20, find the (a) mean, (b) median , (c) mode , and (d) midrange for the given sample data. Express answers with the appropriate units of measurement. Then answer the given questions . 9. Harry Potter listed below are the gross amounts (in millions of dollars) earned in box office receipts for the movie Harry Potter and the Half-Blood Prince . The movie opened on a Wednesday, and the amounts are listed in order for the first 14 days of the movie’s release. What important feature of the data is not revealed through the different measures of center? What is an explanation for the fact that the three highest amounts are the first, third, and fourth values listed? 58 22 27 29 21 10 10 8 7 9 11 9 4 4
In Exercises 5-20, find the (a) mean, (b) median , (c) mode , and (d) midrange for the given sample data. Express answers with the appropriate units of measurement. Then answer the given questions . 9. Harry Potter listed below are the gross amounts (in millions of dollars) earned in box office receipts for the movie Harry Potter and the Half-Blood Prince . The movie opened on a Wednesday, and the amounts are listed in order for the first 14 days of the movie’s release. What important feature of the data is not revealed through the different measures of center? What is an explanation for the fact that the three highest amounts are the first, third, and fourth values listed? 58 22 27 29 21 10 10 8 7 9 11 9 4 4
Solution Summary: The author calculates the mean for gross amounts earned in box office receipts for the movie Harry Potter and the Half-Blood Prince, which is 16.4 million.
In Exercises 5-20, find the (a) mean, (b) median, (c) mode, and (d) midrange for the given sample data. Express answers with the appropriate units of measurement. Then answer the given questions.
9. Harry Potter listed below are the gross amounts (in millions of dollars) earned in box office receipts for the movie Harry Potter and the Half-Blood Prince. The movie opened on a Wednesday, and the amounts are listed in order for the first 14 days of the movie’s release. What important feature of the data is not revealed through the different measures of center? What is an explanation for the fact that the three highest amounts are the first, third, and fourth values listed?
58 22 27 29 21 10 10 8 7 9 11 9 4 4
Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.
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