Data Analysis

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?

• 40

• 21

• 10

• 5

• 3

Tags

CCSS.HSS.ID.A.1

CCSS.6.SP.B.4

A veterinarian collected data on the weights of 1,000 cats and dogs treated at a veterinary clinic. The weight of each animal was classified as either healthy, underweight, or overweight. The data are summarized in the table. Based on the data in the table, which of the following is the most appropriate type of graph to visually show whether a relationship exists between the type of animal and the weight classification?

• Back-to-back stemplots

• Scatterplot

• Side-by-side boxplots

• Segmented bar chart

• Dotplot

Nyasha’s financial literacy project involved comparing the annual sales of companies in Canada and companies in the United States that produce software. Using the ratio of 1 Canadian dollar to 0.75 United States dollar, she converted all annual sales from the Canadian companies into United States dollars. For which of the following will the value of the statistic for the annual sales in Canadian dollars be equal to the value of the corresponding statistic in United States dollars?

• The median annual sales

• The standard deviation of the annual sales

• The standardized score of the minimum annual sales

• The mean annual sales

• The interquartile range of the annual sales

A sociologist collected data from a sample of people on their highest level of education and the number of times they visited any fast food restaurant during the previous week. The data are summarized in the boxplots. Based on the boxplots, which of the following statements must be true?

• The number of people surveyed at the more than four-year college level is greater than the number of people surveyed at the high school level.

• The proportion of people surveyed from the first quartile to the third quartile at the four-year college level is less than the respective proportion at the community college level.

• The interquartile range (IQR) for the number of visits at the more than four-year college level is less than the IQR for the number of visits at the community college level.

• The maximum number of visits at the community college level is greater than the maximum number of visits at the high school level.

• The median number of visits at the four-year college level is greater than the median number of visits at the high school level.

Tags

CCSS.7.SP.B.4

For a recent season in college football, the total number of rushing yards for that season is recorded for each running back. The mean number of rushing yards for the running backs that season is 790 yards. One running back had 1,637 rushing yards for the season, which is 2.42 standard deviations above the mean number of rushing yards. What is the standard deviation of the number of rushing yards for the running backs that season?

• 250 yards

• 300 yards

• 350 yards

• 400 yards

• 450 yards

First-year students enrolled at a college were asked whether they play video games. The responses, classified by whether the students were enrolled in the school of sciences or the school of arts, are shown in the table. Of all the students enrolled in the school of arts who responded, approximately what proportion responded that they play video games?

• 0.242

• 0.401

• 0.438

• 0.554

• 0.605

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 level of interest with the least standard deviation?

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The transportation department of a large city wants to estimate the proportion of residents who would use a system of aerial gondolas to commute to work. The gondolas would be part of the city’s effort to relieve traffic congestion. The department asked a random sample of residents whether they would use the gondolas. The residents could respond with yes, no, or maybe. Which of the following is the best description of the method for data collection used by the department?

• A census

• A sample survey

• An experiment with a completely randomized design

• An experiment with a randomized block design

• An experiment with a matched-pairs design

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 the following distributions of new employee scores have 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 right.

• The distribution of scores is skewed to the left.

• The distribution of scores is bimodal and symmetric.

• The distribution of scores is uniform.

• The distribution of scores is approximately normal.

Tags

CCSS.6.SP.A.1

CCSS.6.SP.A.2

CCSS.6.SP.A.3

The distribution of assembly times required to assemble a certain smartphone is approximately normal with mean 4.6 minutes and standard deviation 0.6 minute. Of the following, which is closest to the percentage of assembly times between 4 minutes and 5 minutes?

• 34%

• 41%

• 59%

• 68%

• 95%