Exam 3: Numerically Summarizing Data

On a recent day during the flu season, the Midtown Medical Clinic saw many patients. Patients had their temperatures (in °F) taken. The distribution of temperatures is given below. Determine the mean temperature of a sample of 100 patients.

A group of 79 students were asked how far they commute to work from home each time they go to work from home. The results are given below. Determine the first quartile.

The one way distances from work (in miles) of 30 employees are listed below. Find .

Given the following five-number summary, find . 2.9, 5.7, 10.0, 13.2, 21.1.

The costs (in dollars) of 10 college math textbooks are listed below. Find the sample standard deviation.

Each year advertisers spend billions of dollars purchasing commercial time on network sports television. In the first 6 months of 1988, advertisers spent $1.1 billion. A recent article listed the top 10 leading spenders (in millions of dollars): Calculate the mean amount spent.

A severe drought affected several western states for 3 years. A Christmas tree farmer is worried about the drought's effect on the size of his trees. To decide whether the growth of the trees has been retarded, the farmer decides to take a sample of the heights of 25 trees. Typically trees of this age have a mean height of 65 inches with a standard deviation of 9 inches. Assuming the distribution is bell shaped, where do you expect middle 95% of the tree heights to fall?

For the following data, approximate the mean number of emails received per day.

Each year advertisers spend billions of dollars purchasing commercial time on network sports television. In the first 6 months of 1988, advertisers spent $1.1 billion. Who were the largest spenders? In a recent article, listed the top 10 leading spenders (in million of dollars): Calculate the sample variance.

Calculate the mean, median, and mode for the following sample: 5, 10, 6, 100, 0, 0, 10, 0.

A student scores 62 on a geography test and 282 on a mathematics test. The geography test has a mean of 80 and a standard deviation of 15. The mathematics test has a mean of 300 and a standard deviation of 12. If the data for both tests are normally distributed, on which test did the student score better relative to the other students in each class?

Compute the range for the set of data. -76, 145, 14, 111, 179

The test scores of 30 students are listed below. Draw a boxplot that represents the data.

If , , , ..., are the N observations of a variable from a population, then the population mean is symbolized by

A study was designed to investigate the effects of two variables - (1) a student's level of mathematical anxiety and (2) teaching method - on a student's achievement in a mathematics course. Students who had a low level of mathematical anxiety were taught using the traditional expository method. These students obtained a mean score of 470 with a standard deviation of 30 on a standardized test. Assuming a bell-shaped distribution, where would approximately 68% of the students score?

The commute times (in minutes) of 30 employees are listed below. Find .

Health care issues are receiving much attention in both academic and political arenas. A sociologist recently conducted a survey of citizens over 60 years of age whose net worth is too high to qualify for government health care but who have no private health insurance. The ages of 25 uninsured senior citizens were as follows: Suppose the mean and standard deviation are 74.0 and 9.7, respectively. If we assume that the distribution of ages is bell shaped, what percentage of the respondents will be between 64.3 and 93.4 years old?

The following data represent the bachelor degrees of CEO's at area small businesses. Determine the mode degree.

The following is a sample of 19 November utility bills (in dollars) from a neighborhood:52, 62, 66, 68, 72, 74, 74, 76, 76, 76, 78, 78, 82, 84, 84, 86, 88, 92, 96. Find the five-number summary.

In a sample of 18 students at East High School the following number of days of absences were recorded for the previous semester: 4, 3, 1, 0, 4, 2, 3, 0, 1, 2, 3, 0, 4, 1, 1, 5, 1, 1. Compute the mean, median, and mode.