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Unit 7: Statistics and Probability Name: ______________________ Quiz (Lessons 1 to 3) Date: ________________ 1. The table shows how many hours per week, on average, that eight 14-year-olds spend playing sports and watching TV. Playing Sports (Hours per Week) Watching TV (Hours per Week) 9 0 a) Draw a scatter plot to represent the data. Remember to include a title, labels on the axes, and an appropriate scale. 15 1 12 10 2 1 10 14 4 13 4 2 7 8 b) Is there any association between how much time a student spends playing sports and how much time the student spends watching TV? Explain. 2. A student graphed data for the population and area of ten countries in the world. a) Circle the cluster. b) Is there any association between area and population? Explain. Bonus► Mexico has an area of 1,964,375 km2 and a population of 120,286,655. Add a data point for Mexico and explain if this point is an outlier or not. K-26 Sample Unit Quizzes and Tests for AP Book 8.1 COPYRIGHT © 2015 JUMP MATH: TO BE COPIED. CC c) Identify the outlier(s). Explain why they are outliers. Unit 7: Statistics and Probability Answer Key Quiz (Lessons 1 to 3) 1. a) b) There is no association. There is no increasing or decreasing pattern and the points are spread out. 2. Outlier 1 Mexico Outlier 2 a) See graph above. b) There is a positive association. As area increases, population increases. c) See graph above. Outlier 1: small area, big population Outlier 2: big area, small population Bonus See graph above. COPYRIGHT © 2015 JUMP MATH: TO BE COPIED. CC It is an outlier because it is far from the cluster. Sample Unit Quizzes and Tests for AP Book 8.1 K-27 Unit 7: Statistics and Probability Name: ______________________ Test (Lessons 1 to 3) Date: ________________ 1. For which scatter plot or scatter plots does the data show … A. B. C. D. a) a positive association? __________ b) a negative association? __________ c) a linear association? __________ d) a nonlinear association? __________ e) a strong association? __________ f) a weak association? __________ g) a weak positive association? __________ h) a strong negative association? __________ 2. Which scatter plot from Question 1 best represents the association between the distance a student lives from school and the time it takes the student to walk to school? Explain. 3. Mona pours two cups of boiling water in a bowl and measures the temperature nine different times as the water cools. She records her results in a table. 1 92 3 78 a) Draw a scatter plot to represent the data. Remember to include a title, labels on the axes, and an appropriate scale. 5 67 8 54 10 48 15 36 20 30 30 23 45 21 b) Describe the association between time since boiling and temperature of water in as much detail as possible. Hint: Is it linear or nonlinear? Strong or weak? Positive or negative? c) Hot drinks are best served with a temperature of 75°C. How long should a cup be left to cool, after boiling, before being served? K-28 Sample Unit Quizzes and Tests for AP Book 8.1 COPYRIGHT © 2015 JUMP MATH: TO BE COPIED. CC Time Since Boiling (minutes) Temperature (°C) Unit 7: Statistics and Probability continued Test (Lessons 1 to 3) 4. The table shows how many hours ten students worked last month and how much money they earned. Hours Worked Money Earned ($) 15 135 20 160 5 40 10 70 a) Draw a scatter plot for the data. 4 120 10 100 20 80 14 112 8 80 18 140 b) Circle the cluster. c) Describe the association in as much detail as possible. d) Identify the outlier(s). Explain. 5. Predict the relationship. Write “increases,” “decreases,” or “is not affected.” a) As the side length of a square increases, the area of the square ____________________. b) As the side lengths of a triangle increase, the sum of the angles in the triangle ____________________. c) As the value of x increases, the value of –10x ____________________. COPYRIGHT © 2015 JUMP MATH: TO BE COPIED. CC Bonus► Sketch a scatter plot for the ages and heights of 15 adults. Include the titles and labels, but no scales. Sample Unit Quizzes and Tests for AP Book 8.1 K-29 Unit 7: Statistics and Probability Answer Key Test (Lessons 1 to 3) a) B, C b) A, D c) A, B, D d) C e) A, C, D f) B g) B h) A, D Bonus Sample answer: Age and Height of Adults Height (inches) 1. 2. Scatterplot B. As distance increases, walking time increases, but some students walk faster than others. 3. a) b) There is a strong negative nonlinear association. c) Around 4 minutes. Age 4. Outlier 1 Outlier 2 a) See graph above. b) See graph above. c) There is a strong positive linear association if you ignore the outliers. d) See graph above. COPYRIGHT © 2015 JUMP MATH: TO BE COPIED. CC Outlier 1: few hours, high pay Outlier 2: many hours, low pay 5. a) increases b) is not affected c) decreases K-30 Sample Unit Quizzes and Tests for AP Book 8.1