Algebra data analysis

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.

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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

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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.

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What percent of nights did he spend between 25 and 35 minutes doing homework?

• 25
• 50
• 75
• 100

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What is the median amount of time Matt spent on homework?

• 20
• 25
• 30
• 35

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What is the range of time Matt spent doing homework over several nights?

• 15
• 20
• 30
• 35

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Allentown uses a larger range of electricity per month.

• True
• False

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Allentown uses a median of 950 kilowatt-hours per month.

• True
• False

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75% of households in Bethlehem use between 800 and 900 kilowatt-hours per month of electricity.

• True
• False

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50% of households in Allentown use between 600 and 800 kilowatt-hours per month of electricity.

• True
• False

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