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Pre-Algebra 4-5 Displaying Data Find the M, M, M, R 9, 6, 117, 5, 7, 6, 8, 8, 7, 9 Mean: Median: Mode: Range: 18.2 7.5 6,7,8,9 112

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Pre-Algebra 4-5 Displaying Data Hours of television Frequency 02 13 21 33 40 51

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Pre-Algebra 4-5 Displaying Data A histogram is a type of bar graph. The bars of a histogram represent intervals that the data is grouped. (the bars touch)

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Pre-Algebra 4-5 Displaying Data Money ($)TallyFrequency 0 – 0.994 1.00 – 1.993 2.00 – 2.992 3.00 – 3.993

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Pre-Algebra 4-5 Displaying Data Displaying Data in a Line Graph Make a line graph of the given data. Use the graph to estimate Mr. Y’s salary in 1992. 69,0002000 58,0001995 49,0001990 42,0001985 Salary ($)Year

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Pre-Algebra 4-5 Displaying Data Mr. Y’s 1992 salary was about Year Salary 69,0002000 58,0001995 49,0001990 42,0001985 Salary ($)Year

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Pre-Algebra 4-5 Displaying Data What quarter was the percent of all positive plays

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Pre-Algebra 4-5 Displaying Data

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Pre-Algebra 4-5 Displaying Data Time Spent at Day Care TallyFrequency 0:00 to 0:30 0:31 to 1:00 1:01 to 1:30 1:31 to 2:00 2:01 to 2:30 2:31 to 3:00 2:00 1:40 3:00 0:30 1:00 1:30 2:30 0:30 2:45 1:00 2:00 1:35 1:30 3:00

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Pre-Algebra 4-5 Displaying Data Frequency Hours Spent at Day Care 0 1 2 3 4 5 0:00 to 0:30 0:31 to 1:00 1:01 to 1:30 1:31 to 2:00 2:01 to 2:30 2:31 to 3:00

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Pre-Algebra 4-5 Displaying Data

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Pre-Algebra 4-5 Displaying Data For example, art is often used to make a graph more interesting, but it can distort the relationships in the data. Graphs and statistics are often used to persuade. Advertisers and others may accidentally or intentionally present information in a misleading way.

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Pre-Algebra 4-5 Displaying Data Explain why each graph is misleading. The graph suggests that the stock will continue to increase through 2020, but there’s no way to foresee the future.

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Pre-Algebra 4-5 Displaying Data Explain why each graph is misleading. Because the scale leaves out 0 to 100, the bar heights make it appear that the sixth grade sold about three times as many tickets as either of the other two grades. In fact, the sixth grade sold only about 20% more.

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Pre-Algebra 4-5 Displaying Data Explain why each graph is misleading. The scale is so compressed that it’s hard to see any difference among the brands.

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Pre-Algebra 4-5 Displaying Data Explain why each graph is misleading. 0 10 20 30 40 50 60 12345*6* * projected % of Return on Investment The graph suggests that the rate of investment return will continue to increase, but there are no guarantees

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Pre-Algebra 4-5 Displaying Data Explain why each graph is misleading. 140 142 144 146 148 150 Preferred Juice Flavors GrapeCherryApple The graph appears to indicate that significantly more people prefer grape drink over the others when in fact there is a small margin of difference. (0 to 140 is not graphed)

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Pre-Algebra 4-5 Displaying Data Explain why each graph is misleading. 0 20 40 60 80 100 120 Brand XBrand YBrand Z Drink Sales This graph is too compressed to see much difference between the brands indicating that they are fairly equal. No data from 50 to 120

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Pre-Algebra 4-5 Displaying Data Explain why each statistic is misleading. A. Sam scored 43 goals for his soccer team during the season, and Jacob scored only 2. Although Jacob scored only 2 goals, he may have played most of his time on defense. B. Four out of five dentists surveyed preferred UltraClean toothpaste. This statement does not give the sample size or state what UltraClean toothpaste was compared with.

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Pre-Algebra 4-5 Displaying Data Explain why each statistic is misleading. C. Shopping at Save-a-Lot can save you up to $100 a month! The words save up to $100 mean that the maximum you can save is $100, but there is no guarantee that you will save that amount.

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Pre-Algebra 4-5 Displaying Data Explain why each statistic is misleading. A. Four out of five breeders recommend Pet Blend dog food for a healthier coat. This statement does not give the sample size or state what Pet Blend dog food was compared with. B. Fruity Squares makes the cereal 100% more fun. You cannot measure how much fun Fruity Squares makes the cereal.

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Pre-Algebra 4-5 Displaying Data Explain why each statistic is misleading. C. The total revenue for bathing suits sold in May at Worthman’s Florida stores is 250,000. The total revenue for bathing suits sold in May at Worthman’s North Dakota stores is 10,000. The states have different populations and climates.

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Pre-Algebra 4-5 Displaying Data Lesson Quiz: Part 1 1. Explain why each graph or statistic is misleading

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Pre-Algebra 4-5 Displaying Data Lesson Quiz: Part 2 2. A budget area of a used-car lot has five cars on it, with prices of $4200, $4700, $4900, $5200, and $900 (a wrecked one). The car ad in the local paper reads “Average priced car on budget lot is $3980.” Explain why each graph or statistic is misleading

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Pre-Algebra 4-5 Displaying Data Lesson Quiz: Part 1 Possible answer: The size of the trucks is larger than the size of the cars, so it looks like there are as many trucks as cars, although there are 6 cars and 4 trucks. 1. Explain why each graph or statistic is misleading

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Pre-Algebra 4-5 Displaying Data Lesson Quiz: Part 2 2. A budget area of a used-car lot has five cars on it, with prices of $4200, $4700, $4900, $5200, and $900 (a wrecked one). The car ad in the local paper reads “Average priced car on budget lot is $3980.” The wrecked car’s price brings the average down. Without using the price of the wrecked car, the average price would be $4750. Explain why each graph or statistic is misleading

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