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Mathematics, 23.03.2020 19:30 BreBreDoeCCx

1. In 1961, New York Yankee outfielder Roger Maris held the Major League record for home runs in a single season, with 61 home runs. That record held for 37 years. Here are Maris' home run totals for his 10 years in the American League.

13 23 26 16 33 61 28 39 14 8

a. Find the mean number of home runs that Maris hit in a year, both with and without his record 61. How does removing the record number of home runs affect his mean number of runs?

b. Find the median number of home runs that Maris hit in a year, both with and without his record 61. How does removing the record number of home runs affect his median number of runs?

c. If you had to choose between the mean and median to describe Maris' home run hitting pattern, which would you use?

2. The average salary in a bank was publicized at the end of the Fiscal Year 2018. The two "averages" reported were $156,900 and $355,300. Which of these numbers was the mean salary and which was the median price? Explain your answer.

3. Here are the starting salaries, in thousands of dollars, offered to the 20 students who earned degrees in computer science in 2018 at a university:

83 78 86 97 70 73 98 75 110 85
84 89 79 96 68 74 69 88 71 70

a. Make a graph to describe the distribution and write a brief description of its important features.

b. Find the median salary.

c. Find the mean salary.

d. Find the mode of the salaries.

e. Is the mean about the same as the median or not? What feature of this distribution explains the difference between the mean and the median? Is the mode a good measure of the center for these data? Why or why not?

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