Exam 3: Numerical Summaries of Center and Variation

The number of students enrolled in a college algebra class for the last seven semesters are listed below. Find the median.

The boxplots below represent critics' movie ratings (from 0 to 100) for movies that have been rated by the Motion Picture Association of America as R, PG-13, PG, and G. List the movie ratings according to their median critics' rating, from worst to best.

Suppose we have a distribution of student exam scores on an easy test. What measure of spread would be best to describe this data?

Use the following information for following questions . The distribution of the number of hours of sleep people get per night is unimodal and symmetric with a mean of 6 hours and a standard deviation of 1.5 hours. -If James had a z-score of 1.2, how many hours did he sleep?

Use the following information for following questions . The distribution of the number of hours people spend at work per day is unimodal and symmetric with a mean of 8 hours and a standard deviation of 0.5 hours. -If Anthony's z-score for his work hours was −1.3, how many hours did he work?

For the pair of histograms below, which distribution has the smaller standard deviation. Why?

Which boxplot represents the same data as the histogram shown below?

[Be able to calculate the mean for a small set of data.] The ages of five college students are listed below. Calculate the mean age of these students.

[Be able to calculate the mean for a small set of data.] The ages of five adults are listed below. Calculate the mean age of these adults.

Use the following information for following questions . The distribution of the number of hours people spend at work per day is unimodal and symmetric with a mean of 8 hours and a standard deviation of 0.5 hours. -If Stacy worked 8.7 hours yesterday, would you consider this unusual?

Suppose we have a distribution of the number of "friends" all users of a popular social media site have. What measure of spread would be best to describe this data?

The following boxplot contains information about the length of time (in minutes) it took women participants to finish the marathon race at the 2012 London Olympics. -What can be said about the shape of the distribution of men's running times for the marathon?

Two algebra classes at University High School took the same quiz. Mr. Athens had 25 students in his class with a mean score of 80. Mrs. Sutton's class of 30 students had a mean score of 75. Overall, what was the mean score for all students on the quiz?

What do the dots on the right side of the boxplot represent? What does this mean in terms of marathon times?

The boxplots below represent movie runtimes (length of a movie in minutes) for movies that have been rated by the Motion Picture Association of America as R, PG-13, PG, and G. List ratings according to their median runtimes, from longest to shortest.

The fastest 25% of men participants ran the marathon how quickly?

The number of dogs available at a local animal shelter was recorded for the past 8 days. Find the median.

Use the following information for following questions . The distribution of the number of hours people spend at work per day is unimodal and symmetric with a mean of 8 hours and a standard deviation of 0.5 hours. -If Anthony's z-score for his work hours was −1.3, explain what this value means in terms of the number of hours he works.

A class of 30 introductory statistics students took a quiz worth 100 points. The standard deviation of the scores was 0. What must be true about the students' scores?

The mean can be thought of as the balancing point of a distribution. According to this description, at what value is the following distribution balanced?