NAME ____________________________________________ DATE _____________________________ PERIOD _____________ Practice 7.12(C) SCORE __________ Compare two populations based on data in random samples from these populations, including informal comparative inferences about differences between the two populations. Multi-Step Example Each month Liberty School publishes a magazine. As part of a market research project, Ted surveys 24 people, asking them the number of magazines they have purchased in the past year. The results of the survey are shown in the double box plot. What is the median and interquartile range of each set of data? What inference can be made about the number of magazines purchased? Median IQR Liberty Students Non-Students 5.5 1.5 8 - 2.5 = 5.5 3.5 - 0 = 3.5 The Liberty students data centers around 5.5 magazines with an interquartile range of 5.5. The non-students data centers around 1.5 magazines with an interquartile range of 3.5. So, the Liberty students generally purchase more magazines than non-students. 1 The dot plot shows the number of hours students spent last week on social networking sites. Which is NOT an inference that can be made about the two populations? 2 The results of a survey that asked 50 seventh graders how many hours they play video games are shown in the double box plot. Which statement is true? F There is no difference in the maximum values. A Females typically spend more time than males on the sites. G The difference in the maximum values is 1.5 hours. H The median for the girls is 0.5 hour. B Females typically spend less time than males on the sites. J The third quartile for the boys is 2.5 hours. C The range for males is greater than the range for females. D The interquartile range for the males is 4 hours. Course 2 • Measurement and Data TX145 NAME ____________________________________________ DATE _____________________________ PERIOD _____________ Practice 7.12(C) (continued) 3 A study of ornamental grasses was conducted at two local plant retailers. The heights of 20 plants are shown in the table. How much greater is the mean height at Al’s Garden Center than the mean height at Bernard’s Nursery? Ornamental Grass Height (in.) Bernard’s Nursery Al’s Garden Center 11 12 12 14 11 16 10 18 14 10 16 12 10 14 12 20 13 21 9 18 A 1.5 in. SCORE __________ 5 The state highway patrol inspected vehicles on two highways. The double dot plot shows the numbers of vehicle violations that they found. Which inference can be made about the two populations? A The shapes of both plots are symmetrical. B The data spreads of both populations are the same. C The interquartile range for Route 9 is 0.5 and the interquartile range for Interstate 45 is 2 . D The median for Route 9 is 1 and the median for interstate 45 is 2. B 3.7 in. C 4.0 in. D 5.5 in. 4 Bertha randomly surveyed students in two classes about the number of hours they read per week. Which inference can be made? 6 Camille surveyed students on the volleyball and karate teams about the number of times they ate out last week. What is the difference in the interquartile ranges? F Both box plots are symmetrical. G The difference in the medians is 2. H The interquartile range for history class is 2 and the interquartile range for language class is 4. Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. J Seventy-five percent of the language class plays video games for 3 or more hours. TX146 Course 2 • Measurement and Data NAME ____________________________________________ DATE _____________________________ PERIOD _____________ Practice 7.12(C) SCORE __________ Student Recording Sheet Fill in the correct answer. For gridded-response questions, write your answers in the boxes on the answer grid and fill in the bubbles to match your answers. 1 2 3 4 5 6 Course 2 • Measurement and Data TX147
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