ap stat chapter 1 MCQs

The following list shows the selling prices of 8 houses in a certain town. What is the median selling price of the houses in the list?

$283,300

The histogram shown summarizes the responses of 100 people when asked, "What was the price of the last meal you purchased?" Based on the histogram, which of the following could be the interquartile range of the prices?

$5

The following boxplot shows the typical gas mileage, in miles per gallon, for 20 different car models. Based on the boxplot, the top 25 percent of the cars have a typical gas mileage of at least how many miles per gallon?

35

A sample of 942 homeowners are classified, in the two-way frequency table below, by the number of credit cards they have and the number of years they have owned their current homes. Of the homeowners in the sample who have four or more credit cards, what proportion have owned their current homes for at least one year?

78/212

A marketing firm obtained random samples of 20 people in five regions of the country to investigate the level of interest in a new product. People in the sample were asked to rate their level of interest on a scale from 1 to 10, with 1 being the least amount of interest and 10 being the greatest. The histograms show the results for each region. The graph for which region displays data for the level of interest with the least standard deviation?

D

In a certain school district, students from grade 6 through grade 12 can participate in a school-sponsored community service activity. The following bar chart shows the relative frequencies of students from each grade who participate in the community service activity. Which of the following statements is supported by the bar chart?

Grade 12 had the least relative frequency of participating students.

A company manufactures special plastic containers that hold a specified volume of hazardous material. Some containers do not meet specifications because they are either too small or too large. Are there differences between the sizes of containers produced by the daylight (8am), evening (4pm), and midnight shifts? Here is a mosaic plot of the results after inspecting 1500 randomly selected containers. Which of the following is the best evidence that there is an association between conformance to specifications and shift?

Knowing whether a container was too small, within specifications, or too large is helpful for predicting what shift produced it.

The following boxplot summarizes the heights of a sample of 100 trees growing on a tree farm. Emily claims that this box plot is not a modified box plot because the tree height of 43 inches is an outlier for the distribution. Based on the 1.5 IQR Rule for outliers, is there evidence to support the claim?

No, because 43 is not greater than (Q3 + 1.5 X IQR).

Which of the following statements is true about a distribution that appears to have a gap when displayed as a histogram?

The distribution has a region between two data values where no data were observed.

New employees at a large corporation go through a training program during their first week of employment. The new employees take a written assessment at the completion of the program to determine how well prepared they are for their jobs. A score greater than the mean indicates a well-prepared employee. Assume that any distribution of new employee scores has the same mean score, the same maximum score, and the same minimum score. Which distribution has a shape that is most likely to represent the greatest percent of well-prepared employees?

The distribution of scores is skewed to the left.

The following relative frequency table shows the political party affiliation for a sample of 500 people in a certain town. Which of the following statements is supported by the table?

The number of people affiliated with the Independents is 100.

The following table shows data for the 8 longest roller coasters in the world as of 2015. Which of the following variables is categorical?

Type

One statistic calculated for pitchers in baseball is called the earned run average, or ERA. The following boxplots summarize the ERA for pitchers in two leagues, A and B. Based on the boxplots, which of the following statistics is the same for both leagues?

the interquartile range