Exam 3: Descriptive Measures

Identify potential outliers, if any, for the given data. -The weights (in ounces)of 27 tomatoes are listed below. 1.7 2.0 2.2 2.2 2.4 2.5 2.5 2.5 2.6 2.6 2.6 2.6 2.6 2.7 2.8 2.8 2.8 2.9 2.9 2.9 3.0 3.0 3.1 3.1 3.3 3.6 4.2

Solve the problem. -Do men and women run a 5 kilometer race at the same pace? Here are boxplots of the time (in minutes)for a race recently run in Chicago. Write a brief report discussing what these data show.

Construct and interpret a boxplot or a modified boxplot as specified. -The test scores of 32 students are listed below. Construct a boxplot for the data. 32 37 41 44 46 48 53 55 57 57 59 63 65 66 68 69 70 71 74 74 75 77 78 79 81 82 83 86 89 92 95 99

A machine fills bottles with juice. The average amount filled in the bottles is 16 ounces; however this amount varies slightly from bottle to bottle. The manufacturer is interested in knowing how much the amount of juice varies from bottle to bottle. In this context, what is the population of interest and what does Ϭ represent?

A group of medical researchers is interested in knowing the mean cholesterol level for all men in the U.S. aged between 70 and 80. They pick a sample of 5,000 men and measure their cholesterol levels. They then calculate the mean and standard deviation of these cholesterol levels. Do the mean and standard deviation obtained in this way represent parameters or statistics? Why? What symbols could you use to denote the mean and standard deviation of the 5,000 cholesterol levels?

Find the mode(s)for the given sample data. -The blood types for 30 people who agreed to participate in a medical study were as follows. O A A O A AB O B A O A O A B O O O AB A A A B O A A O O B O O Find the mode of the blood types.

Find the mean for the given sample data. Unless otherwise specified, round your answer to one more decimal place thanthat used for the observations. -Six college students spent $296.36, $205.42, $178.74, $263.73, $267.15, and $153.80 respectively for books. Compute the mean amount spent. Round your answer to the nearest cent.

Find the mean for the given sample data. Unless otherwise specified, round your answer to one more decimal place thanthat used for the observations. -The local Tupperware dealers earned these commissions last month: \ 4369.67 \ 2209.58 \ 4197.89 \ 4736.53 \ 4066.94 \ 4368.44 \ 2055.80 \ 4975.39 \ 1924.57 \ 4572.43 What was the mean commission earned? Round your answer to the nearest cent.

A data set has a mean of 100 and a standard deviation of 12. Using Chebychev's rule, what can you say about the percentage of observations lying between 64 and 136? Using the empirical rule, what can you say about the percentage of observations lying between 64 and 136? What assumption is required to use the empirical rule?

Find the range and standard deviation for each of the two samples, then compare the two sets of results. -When investigating times required for drive-through service, the following results (in seconds) were obtained. Restaurant A 120 123 153 128 124 118 154 110 Restaurant B 115 126 147 156 118 110 145 137

Can the sample variance ever be a negative number? If so, for what types of data? If not, why not? Can the sample variance ever be zero? If so, for what types of data? If not, why not? Explain your reasoning.

Construct and interpret a boxplot or a modified boxplot as specified. -The ages of the 21 members of a track and field team are listed below. Construct a modified boxplot for the data. 15 18 18 19 22 23 24 24 24 24 25 26 26 27 28 28 30 32 33 40 42

Determine the quartile or interquartile range as specified. -Find $Q _ { 3 }$ . $2,4,5,7,9,2,4,5,7,9$

Find the mean for the given sample data. Unless otherwise specified, round your answer to one more decimal place thanthat used for the observations. -The grocery expenses for six families were $67.43, $69.68, $50.54, $58.42, $43.00, and $65.59. Compute the mean grocery bill. Round your answer to the nearest cent.

Provide an appropriate response. -The heights of a group of professional basketball players are summarized in the frequency distribution below. Find the standard deviation. Round your answer to one decimal place. Height (in.) Frequency 70 -under 72 3 72 -under 74 7 74 -under 76 16 76 -under 78 12 78 -under 80 10 80 -under 82 4 82 -under 84 1

Find the mode(s)for the given sample data. - $20,23,46,23,49,23,49$

Find the range and standard deviation for each of the two samples, then compare the two sets of results. -When investigating times required for drive-through service, the following results (in seconds) were obtained. Restaurant A 120 67 89 97 124 68 72 96 Restaurant B 115 126 49 56 98 76 78 95 Restaurant A: $57; 22.2$

Find the mode(s)for the given sample data. - $\text { 7.13, 7.41, 7.56, 7.13, 7.88, 7.99, 7.62 }$

Find the range for the given data set. -The manager of an electrical supply store measured the diameters of the rolls of wire in the inventory. The diameters of the rolls (in m)are listed below. 0.457 0.652 0.125 0.374 0.305 0.119

Find the range for the given data set. -Fred, a local mechanic, gathered the following data regarding the price, in dollars, of an oil and filter change at twelve competing service stations. 32.95 24.95 26.95 28.95 18.95 28.95 30.95 22.95 24.95 26.95 29.95 28.95