Quantitative and Categorical Data

The National Survey of Adolescent Health interviewed several thousand teens (grades 7 to 12). One question asked was “What do you think are the chances you will be married in the next ten years?” Above is a two-way table of the responses by gender.

The percent of females thought that they were almost certain is part of

• the marginal distribution of gender.

• the conditional distribution of gender among adolescents with a given opinion.

• the conditional distribution of opinion among adolescents of a given gender.

• the marginal distribution of opinion about marriage.

The National Survey of Adolescent Health interviewed several thousand teens (grades 7 to 12). One question asked was “What do you think are the chances you will be married in the next ten years?” Above is a two-way table of the responses by gender.

What is the percent of females among the respondents ?

• about 46%.

• about 54%.

• 2625

• 4877

The percent of females among the respondents is part of

• the marginal distribution of females

• the marginal distribution of gender.

• the marginal distribution of opinion about marriage.

• the conditional distribution of opinion among

  adolescents of a given gender.

The National Survey of Adolescent Health interviewed several thousand teens (grades 7 to 12). One question asked was “What do you think are the chances you will be married in the next ten years?” Above is a two-way table of the responses by gender.

What percent of females thought that they were almost certain to be married in the next ten years?

• about 16%.

• about 24%.

• about 40%.

• about 45%.

The following bar graph shows the distribution of favorite subject for a sample of 1000 students. What is the most serious problem with the graph?

• This distribution should be displayed with a pie chart

• The vertical axis should show the percent of students.

• The vertical axis should start at 0 rather than 100

• The subjects are not listed in the correct order.

In the 2010–2011 season, the Dallas Mavericks won the NBA championship. The two-way table below displays the relationship between the outcome of each game in the regular season and whether the Mavericks scored at least 100 points. Which of the following is the best evidence that there is an association between the outcome of a game and whether or not the Mavericks scored at least 100 points?

• The Mavericks won 57 games and lost only 25 games.

• The Mavericks scored at least 100 points in 47 games and

  fewer than 100 points in only 35 games.

• The Mavericks won 43 games when scoring at least 100 points and only 14 games when scoring fewer than 100 points.

• The Mavericks won a higher proportion of games when scoring at least 100 points (43/47) than when they scored fewer than 100 points (14/35).

If there is no association between gender and handedness for the members of the sample, which of the following is the correct value of x?

• 10

• 20

• 36

• 45

The histogram below shows the heights of 300 randomly selected high school students. Which of the following is the best description of the shape of the distribution of heights?

• Roughly symmetric and unimodal

• Roughly symmetric and bimodal

• Roughly symmetric and multimodal

• Skewed to the left

The following histogram shows the distribution of the percent of women aged 15 and over who have never married in each of the 50 states and the District of Columbia. Which of the following statements about the histogram is correct?

• The center of the distribution is about 36%.

• There are more states with percent above 32 than there are states with percent less than 24.

• About half of the states had percent between 24% and 28%

• There was one state with a value of exactly 33%.

Which of the following boxplots best matches the distribution shown in the histogram?

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