AP Statistics 1-2/1-3

How long do people travel each day to get to work? The following table gives the average travel times to work (in minutes) for workers in each state and the District of Columbia who are at least 16 years old and don’t work at home. on your own paper, make a histogram of the travel times using classes of width 2 minutes, starting at 14 minutes. That is, the first class is 14 to 16 minutes, the second is 16 to 18 minutes, and so on. I will look at this in class.

Using the histogram you created for the previous problem, the shape of the distribution is a bit irregular. Is it closer to symmetric or skewed? About where is the center of the data? What is the spread in terms of the smallest and largest values? Are there any outliers?

Numerical data can distinguish different types of writing, and sometimes even individual authors. Here are data on the percent of words of 1 to 15 letters used in articles in Popular Science magazine. On your own paper below the last histogram, make a histogram of this distribution. In the answer blank below, describe its shape, center, and spread.

Does paying high salaries lead to more victories in professional sports? The New York Yankees have long been known for having Major League Baseball’s highest team payroll. And over the years, the team has won many champion- ships. This strategy didn’t pay off in 2008, when the Philadelphia Phillies won the World Series. Maybe the Yankees didn’t spend enough money that year. The graph below shows histograms of the salary distributions for the two teams during the 2008 season. Why can’t you use this graph to effectively compare the team payrolls?

Here is another graph of the 2008 salary distributions for the Yankees and the Phillies. Write a few sentences comparing these two distributions.

Joey’s first 14 quiz grades in a marking period are given in the table. Calculate the mean.

Find the median, mean, and range of the data set:

3, 5, 7, 9, 11, 8, 3

• median:7 mean:6 range:7

• median:6 mean:7 range:8

• median:7 mean:6.57 range:8

According to the Census Bureau, the mean and median 2008 income of people at least 25 years old who had a bachelor’s degree but no higher degree were $48,097 and $60,954. Which of these numbers is the mean and which is the median? Explain your reasoning.

What is the Q1 of this data set?

37 42 48 51 52 53 54 54 55

• 45

• 42

• 48

• 42.5

How do you find the interquartile range?

• Add Q3 and the max

• Subtract Q1 from Q3

• Add the max and the min

• Subtract Q2 from Q3