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Graphical Representations AIMS Math Review Spring, 2008

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Period 1 1.Which situation could this graph depict? a.A person jumped from a tree to the ground. b.A plane landed safely. c.A plane crashed into the runway. d.A person dove into the water. 2. Which of the following real-world situations could best be modeled by the graph? a.the temperature of a pizza after it has been taken out of an oven b.the height of a person growing from child to adult c.the altitude of a plane during a trip, from take-off to landing d.the amount of gasoline in a car gas tank during a trip

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Period 1 ANSWERS 1.Which situation could this graph depict? a.A person jumped from a tree to the ground. b.A plane landed safely. c.A plane crashed into the runway. d.A person dove into the water. 2. Which of the following real-world situations could best be modeled by the graph? a.the temperature of a pizza after it has been taken out of an oven b.the height of a person growing from child to adult c.the altitude of a plane during a trip, from take-off to landing d.the amount of gasoline in a car gas tank during a trip

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Period 2

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Period 2 ANSWERS time distance height distance Grams eaten Calories Gallons temperature time populationheight

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Period 3 1.What was Ginger’s maximum distance from home? 2.When was Ginger furthest away from home? 3.What does a distance of 0 mean? 4.At what times was she at home?

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Period 3 ANSWERS 1.What was Ginger’s maximum distance from home? 2 miles 2.When was Ginger furthest away from home?4:15 – 4:45 pm 3.What does a distance of 0 mean? She was at home. 4.At what times was she at home? 3:15, 3:45 – 4:00, 5:00

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Period 4 Stem and Leaf 1.Write the numbers represented by the stem and leaf chart. 2.What is the minimum value of situps? 3.What is the maximum value of situps? 4.What is the mode of situps? 5.What is the median of situps? 6.What is the mean of situps? Key: 3 | 6 = 36

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Period 4 ANSWERS Stem and Leaf 1.Write the numbers represented by the stem and leaf chart. 34, 36, 38, 38, 40, 43, 46, 47, 47, 50, 50, 51, 52 2.What is the minimum value of situps? 34 3.What is the maximum value of situps? 52 4.What is the mode of situps? 38, 47, 50 (mode means the most frequently occurring value) 5.What is the median of situps? 46 (middle number of a sequential group is the median) 6.What is the mean of situps? 44 (mean is another name for average) Key: 3 | 6 = 36

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Period 5 Box-and-Whisker Graphs In the sample shown, the minimum (lower extreme) is 15 and the maximum (upper extreme) is 29. The median (middle value) is The lower quartile is 19 and the upper quartile is 25. Quartiles split a group into 4. Each box and each whisker represents ¼ or 25% of the total items. TEST SCORES To the right is a box-and-whiskers graph of the most recent test results for this class. 1.What was the minimum score earned? 2.What was the maximum score earned? 3.What percent of the scores were 80% or better? 4.What percent of the scores fell below 70%? 5.What is the median test score?

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Period 5 ANSWERS Box-and-Whisker Graphs In the sample shown, the minimum (lower extreme) is 15 and the maximum (upper extreme) is 29. The median (middle value) is The lower quartile is 19 and the upper quartile is 25. Quartiles split a group into 4. Each box and each whisker represents ¼ or 25% of the total items. TEST SCORES To the right is a box-and-whiskers graph of the most recent test results for this class. 1.What was the minimum score earned? 65 2.What was the maximum score earned? What percent of the scores were 80% or better? 50% 4.What percent of the scores fell below 70%? 25% 5.What is the median test score? 80%

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Period 6 For each graph… What type of correlation is shown in the graphs (positive correlation, negative correlation, or no correlation? What are the coordinates of the maximum point? What are the coordinates of the minimum point?

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Period 6 ANSWERS For each graph… What type of correlation is shown in the graphs (positive correlation, negative correlation, or no correlation? What are the coordinates of the maximum point? What are the coordinates of the minimum point? negative positive positive none positive none none positive

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