Exam 3: Describing, Exploring, and Comparing Data

Solve the problem. -A student earned grades of A, C, A, A, and B. Those courses had these corresponding numbers of credit hours: 1, 6, 4, 1, 4. The grading system assigns quality points to letter grades as follows: A = 4, B = 3, C = 2, D = 1, and F = 0. Compute the grade point average (GPA) and round the result to two decimal places.

Find the variance for the given data. Round your answer to one more decimal place than the original data. -The owner of a small manufacturing plant employs six people. As part of their personnel file, she asked each one to record to the nearest one-tenth of a mile the distance they travel one way from home to work. The six Distances are listed below: 26 32 29 16 45 19

Find the variance for the given sample data. Round your answer to one more decimal place than the original data. 7 7 2 5 1

Find the variance for the given data. Round your answer to one more decimal place than the original data. -To get the best deal on a microwave oven, Jeremy called six appliance stores and asked the cost of a specific model. The prices he was quoted are listed below: \ 663 \ 273 \ 410 \ 622 \ 174 \ 374

Construct a boxplot for the given data. Include values of the 5-number summary in all boxplots. The test scores of 40 students are listed below. 25 35 43 44 47 48 54 55 56 57 59 62 63 65 66 68 69 69 71 72 72 73 74 76 77 77 78 79 80 81 81 82 83 85 89 92 93 94 97 98

Find the median for the given sample data. -The temperatures (in degrees Fahrenheit) in 7 different cities on New Year's Day are listed below. 25 25 31 53 64 73 83 Find the median temperature.

Dave is a college student contemplating a possible career option. One factor that will influence his decision is the amount of money he is likely to make. He decides to look up the average salary of graduates in that profession. Which information would be more useful to him, the mean salary or the median salary. Why?

Find the median for the given sample data. -Listed below are the amounts of weight change (in pounds) for 12 women during their first year of work after graduating from college. Positive values correspond to women who gained weight and negative values Correspond to women who lost weight. What is the median weight change? 3 -3 5 -9 12 -1 13 0 12 -14 18 7

The local Tupperware dealers earned these commissions last month: \ 2894.21 \ 1777.15 \ 2144.77 \ 4096.37 \ 4046.29 \ 1786.37 \ 3296.69 \ 4086.27 \ 2784.22 \ 4027.79 What was the mean commission earned? Round your answer to the nearest cent.

The tallest living man has a height of 247 cm and the tallest living woman is 236 cm tall. Heights of mean have a mean of 175 cm and a standard deviation of 7 cm. Heights of women have a mean of 162 cm and a standard deviation of 6 cm. Relative to the population of the same gender, determine who is taller by comparing z scores. Include an explanation.

Find the midrange for the given sample data. -The highway speeds of 100 cars are summarized in the frequency distribution below. Find the mean speed. Speed (mph) Cars 30-39 5 40-49 18 50-59 50 60-69 17 70-79 10

Construct a boxplot for the given data. Include values of the 5-number summary in all boxplots. -Heights of adult women are known to have a bell-shaped distribution. Draw a boxplot to illustrate the results.

Solve the problem. -The mean salary of the female employees of one company is $29,525. The mean salary of the male employees of the same company is $33,470. Can the mean salary of all employees of the company be obtained by finding the mean of $29,525 and $33,470? Explain your thinking. Under what conditions would the mean of $29,525 and $33,470 yield the mean salary of all employees of the company?

Find the mode(s) for the given sample data. - -20 -45 -46 -45 -49 -45 -49

Determine which score corresponds to the higher relative position. -Which is better, a score of 92 on a test with a mean of 71 and a standard deviation of 15, or a score of 688 on a test with a mean of 493 and a standard deviation of 150?

Determine which score corresponds to the higher relative position. -Which is better: a score of 82 on a test with a mean of 70 and a standard deviation of 8, or a score of 82 on a test with a mean of 75 and a standard deviation of 4?

Find the percentile for the data value. - Data set: 12 18 42 24 12 30 54 54 66 18 18 54 36 6 54 ; data value: 42

Find the median for the given sample data. -The ages (in years) of the eight passengers on a bus are listed below. 9 1 29 11 22 46 40 35 Find the median age.

Provide an appropriate response. -Suppose that all the values in a data set are converted to z-scores. Which of the statements below is true? A: The mean of the z-scores will be zero, and the standard deviation of the z-scores will be the same as the Standard deviation of the original data values. B: The mean and standard deviation of the z-scores will be the same as the mean and standard deviation of the Original data values. C: The mean of the z-scores will be 0, and the standard deviation of the z-scores will be 1. D: The mean and the standard deviation of the z-scores will both be zero.

Find the midrange for the given sample data. -The speeds (in mph) of the cars passing a certain checkpoint are measured by radar. The results are shown below. Find the midrange. 44.3 41.4 42.7 40.6 43.1 40.5 44.8 42.0 44.3 42.1 43.4 42.0 40.6 43.4 41.4