Exam 3: Describing, Exploring, and Comparing Data

Construct a boxplot for the given data. Include values of the 5-number summary in all boxplots. -Describe any similarities or differences in the two distributions represented by the following boxplots. Assume the two boxplots have the same scale.

Find the midrange for the given sample data. -Listed below are the amounts of time (in months) that the employees of an electronics company have been working at the company. Find the midrange. 11 21 29 35 49 57 61 61 71 76 85 93 132 142

The race speeds (in minutes) for the top eight cars in a 200-mile race are listed below. Use the range rule of thumb to estimate the standard deviation. Round results to the nearest tenth. 181.0 180.6 189.2 182.2 175.6 180.0 177.9 181.8

Construct a boxplot for the given data. Include values of the 5-number summary in all boxplots. -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 2.7 2.7 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

Find the standard deviation for the given sample data. Round your answer to one more decimal place than is present in the original data. -To get the best deal on a CD player, Tom called eight appliance stores and asked the cost of a specific model. The prices he was quoted are listed below: \ 356 \ 169 \ 293 \ 267 \ 386 \ 288 \ 318 \ 275

Find the coefficient of variation for each of the two sets of data, then compare the variation. Round results to one decimal place. -The customer service department of a phone company is experimenting with two different systems. On Monday they try the first system which is based on an automated menu system. On Tuesday they try the second System in which each caller is immediately connected with a live agent. A quality control manager selects a Sample of seven calls each day. He records the time for each customer to have his or her question answered. The Times (in minutes) are listed below. Automated Menu: 11.7 7.4 3.9 2.9 9.2 6.3 5.5 Live agent: 6.2 2.9 4.4 4.1 3.4 5.2 3.7

Find the coefficient of variation for each of the two sets of data, then compare the variation. Round results to one decimal place. -Compare the variation in heights to the variation in weights of thirteen-year old girls. The heights (in inches) and weights (in pounds) of nine randomly selected thirteen-year old girls are listed below. Heights (inches): 58.7 61.4 62.1 64.7 60.1 58.3 64.6 63.7 66.1

Find the range, variance, 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

Approximately what percentage of apple diameters is greater than the 66th percentile?

Determine which score corresponds to the higher relative position. -Which score has a higher relative position, a score of 271.2 on a test for which x = 240 and s = 24, or a score of 63.6 on a test for which x = 60 and s = 6?

Find the mode(s) for the given sample data. - 20 42 46 42 49 42 49

The customer service department of a phone company is experimenting with two different systems. On Monday they try the first system which is based on an automated menu system. On Tuesday they try the second System in which each caller is immediately connected with a live agent. A quality control manager selects a Sample of seven calls each day. He records the time for each customer to have his or her question answered. The Times (in minutes) are listed below. Find the coefficient of variation for each of the two sets of data, then compare the Variation. Round results to one decimal place. Automated Menu: 11.7 7.4 3.9 2.9 9.2 6.3 5.5 Live agent: 6.2 2.9 4.4 4.1 3.4 5.2 3.7

Solve the problem. -The data below consists of the heights (in inches) of 20 randomly selected women. Find the 10% trimmed mean of the data set. The 10% trimmed mean is found by arranging the data in order, deleting the bottom 10% of the Values and the top 10% of the values and then calculating the mean of the remaining values. 67 68 64 61 65 64 70 67 62 63 61 64 75 67 60 59 64 68 65 71

Find the variance for the given data. Round your answer to one more decimal place than the original data. -The weights (in ounces) of 10 cookies are shown. 1.4 0.99 1.37 0.58 0.68 0.57 1.1 0.96 1.2 1.27

Construct a boxplot for the given data. Include values of the 5-number summary in all boxplots. -Describe any similarities or differences in the two distributions represented by the following boxplots. Assume the two boxplots have the same scale.

Solve the problem. -Rich Borne teaches Chemistry 101. Last week he gave his students a quiz. Their scores are listed below. 24 31 47 29 31 16 48 41 50 54 37 22

How will a high outlier in a data set affect the mean and median?

Provide an appropriate response. -Human body temperatures have a mean of 98.20° F and a standard deviation of 0.62°. Sally's temperature can be described by z = -1.5. What is her temperature? Round your answer to the nearest hundredth.

Solve the problem. -The signal-to-noise ratio of a set of data is obtained by dividing the mean by the standard deviation. Find the signal-to-noise ratio for the following sample of weights (in pounds): 128 147 186 105 197 155 172 130 116 125

Solve the problem. -The 10% trimmed mean of a data set is found by arranging the data in order, deleting the bottom 10% of the values and the top 10% of the values and then calculating the mean of the remaining values. What advantages do you think that the trimmed mean has as compared to the mean?