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Far from home A survey asked first-year college students, 鈥淗ow many miles is this college from your permanent home?鈥 Students had to choose from the following options: 5 or fewer, 6 to 10, 11 to 50, 51 to 100, 101 to 500, or more than 500. The side-by-side bar graph shows the percentage of students at public and private 4-year colleges who chose each option. Write a few sentences comparing the distributions of distance from home for students from private and public 4-year colleges who completed the survey.

Short Answer

Expert verified

Students attending a private university are more likely to be 101 to 500 miles away from home and students at public universities are more likely to be 11 to 50 miles away from home.

The majority of students choose a university at least 11 miles away from their home.

Step by step solution

01

Step 1. Given information.

The given bar graph is shown below:

02

Step 2.  Compare the distributions of distance.

As we can see that the highest green bar is for the category 101 to 500, and the most likely distance from home for students at a private university is between 101 and 500 miles.

Because the greatest red bar is from category 11 to 50, the most likely distance from home for students at a public university is between 11 and 50 miles.

Because the bar corresponding to "5 or less" and "6 to 10" is fairly narrow for each type of university, most students choose a university that is at least 11 miles from home.

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Most popular questions from this chapter

For which of the following would it be inappropriate to display the data with a single pie chart?

(a) The distribution of car colors for vehicles purchased in the last month

(b) The distribution of unemployment percentages for each of the 50 states

(c) The distribution of favorite sport for a sample of 30 middle school students (d) The distribution of shoe type worn by shoppers at a local mall

(e) The distribution of presidential candidate preferences for voters in a state

Multiple Choice Select the best answer.

Exercises 9 and 10 refer to the following setting. At the Census Bureau website www.census.gov, you can view detailed data collected by the American Community Survey.

The following table includes data for 10 people chosen at random from the more than 1 million people in households contacted by the survey. 鈥淪chool鈥 gives the highest level of education completed.

The individuals in this data set are

(a) households.

(b) people.

(c) adults.

(d) 120 variables.

(e) columns

Birth months Imagine asking a random sample of 60 students from your school about their birth months. Draw a plausible (believable) graph of the distribution of birth months. Should you use a bar graph or a histogram to display the data?

. Which of the following is the best reason for choosing a stemplot rather than a histogram to display the distribution of a quantitative variable?

a. Stemplots allow you to split stems; histograms don鈥檛.

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d. Stemplots never require rounding of values.

e. Stemplots make it easier to determine the shape of a distribution.

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