Quiz 2 (Prequiz) - Introductory Statistics PreQuiz #2...

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Unformatted text preview: Introductory Statistics PreQuiz #2 Objectives: You will be able to sum marize data using measure of central tendency such as the mean, median, mode, and midrange You will be able to determine which measure of central tendency is most appropriate for a data set Name____________________ Date_______________________ Find the mean for the given sample data. Unless otherwise specified, round your answer to one more decimal place than that used for the observations. 1) The students in Hugh Logans math class took the Scholastic Aptitude Test. Their math scores are shown below. Find the mean score. 499 496 352 348 492 344 357 649 470 482 2) Bill kept track of the number of hours he spent exercising each week. The results for four months are shown below. Find the mean number of hours Bill spent exercising per week. 6.5 8.0 8.2 8.8 8.3 6.5 8.4 8.2 8.0 6.5 8.8 8.8 7.4 8.0 8.0 8.8 8.3 8.4 Find the median for the given sample data. 3) A store manager kept track of the number of newspapers sold each week over a seven-week period. The results are shown below. 59, 12, 227, 174, 276, 248, 234 3) 2) 1) 4) The number of vehicles passing through a bank drive-up line during each 15-minute period was recorded. The results are shown below. 28 31 38 27 18 30 28 34 34 30 28 33 34 28 30 31 30 32 23 30 4) Find the mode(s) for the given sample data. 5) 7.16, 7.41, 7.56, 7.16, 7.88, 7.99, 7.62 6) The weights (in ounces) of 14 different apples are shown below. 4.1 5.6 6.8 5.8 6.5 4.1 5.6 5.8 6.0 5.8 4.1 5.8 5.8 5.6 5) 6) 1 Solve the problem. 7) A shoe company reports the mode for the shoe sizes of mens shoes is a size 11. Interpret this result. 8) The output below computed the mean and median for the national dropout rates for high school students in 1982 and 1984. Drop 1982 Drop 1984 N 51 51 MEAN 28.39 26.48 MEDIAN 27.05 25.03 Use the sample information to determine the shape of the distributions of the high school dropout rates in 1982 and 1984. 9) For the following data, approximate the mean number of phone calls per day. Phone calls (per day) Frequency 8-11 11 12-15 13 16-19 16 20-23 2 24-27 22 10) A student receives test scores of 62, 83, and 91. The students final exam score is 88 and homework score is 76. Each test is worth 20% of the final grade, the final exam is 25% of the final grade, and the homework grade is 15% of the final grade. What is the students mean score in the class? 11) Jim buys his school supplies in bulk. On one particular shopping trip he bought 5 red pens at $1.29 each, 3 blue pens at $1.49 each, 6 green pens at $1.79 each and 9 black pens at $0.99 each. What was the average cost of a pen? Solve the problem. 12) A small company employs a supervisor at $1400 a week, an inventory manager at $800 a week, 8 stock boys at $300 a week, and 6 drivers at $700 a week. Which measure of center best describes a typical wage at this company, the mean at $550 or the median at $500? 13) Here is the stem-and-leaf display of the midterm test scores for the seventh-period typing class. 5 9 6 3 5 8 7 2 4 4 7 9 8 3 5 5 8 9 1 3 7 Would you use the median or the mean to describe the center of this distribution? 2 12) 10) 9) 7) 8) 11) 13) Answer Key Testname: QUIZ 2 (PREQUIZ) 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 448.9 7.99 hr 227 newspapers 30 7.16 4.1 oz, 5.8 oz The most frequently occurring shoe size for men is size 11. In both 1982 and 1984, the mean dropout rates exceed the median dropout rates. This indicates that both the 1982 and 1984 high school dropout rates have skewed-right distributions. 18.2 80.6 $1.33 Median, because of the outlier $1400. Mean, because the data are quite symmetric. 3 ...
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