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Section 5 - 3 Graph Frequency Distributions

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Why are graphs so important in math? What would happen if we surveyed everyone in the school about the price of their car? What would the data look like? Would it be easy to understand?

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Graph Frequency Distributions Today: 1) Create a frequency chart a) Including an interval frequency chart 2) Find the mean from a frequency chart

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Graph Frequency Distributions You want to purchase a car stereo. You find 33 ads for the stereo you want and arranged them ascending order: $540$550$550$550$550 $600$600$600$675$700 $700$700$700$700$700 $700$750$775$775$800 $870$900$900$990$990 $990 $990$990$990 $1,000 $1,200$1,200$1,200 What is wrong with using this data?

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$540 $550 $550 $550 $550 $600 $600 $600 $675 $700 $700 $700 $700 $750 $775 $775 $800 $870 $900 $900 $990 $990 $990 $990 $990 $990 $1,000 $1,200 $1,200 $1,200 Price P($) Frequency f $540 $550 $600 $675 $700 $750 $775 $800 $870 $900 $990 $1,000 $1,200 How many car stereos are priced below $800? How many car stereos are priced below $600? How many car stereos are priced above $1,000?

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Graph Frequency Distributions The following data was collected on the weight of packages shipped by a manufacturing company. 131665454435224636 495626682735154362 325748234344306535 What is the major problem with creating a frequency graph for this data? How can this problem be resolved?

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Graph Frequency Distributions 13166545 44352246 36495626 68273515 43623257 48234344 306535 WeightFrequency (f)

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Graph Frequency Distributions Create an interval frequency distribution chart containing the following data. 141955474439227135 496422887816883729 717462545918934974 266675

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Graph Frequency Distributions $ AmountFrequency (f) 10 193 20 294 30 394 40 498 50 592 60 693

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Graph Frequency Distributions You are the manager of The Dress Code Boutique. From the following data representing the dollar sales of each transaction today, construct a frequency distribution using classes with an interval of $10. 141955474439227135 496422887816883729 717462545918934974 266675

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Graph Frequency Distributions $ AmountFrequency (f) 10 194 20 294 30 393 40 494 50 593 60 693 70 - 796 80 - 892 90 - 991

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Graph Frequency Distributions Finding the mean from a frequency chart: 1) Multiply the price by the frequency If the chart is an interval chart, use the midpoint of the intervals 2) Find the sum of the products 3) Divide the sum by the total number of tallys

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Price P($) Frequency f $5401 $5504 $6003 $6751 $7007 $7501 $7752 $8001 $8701 $9002 $9906 $1,0001 $1,2003 Product P(f) $540 $2,200 $1,800 $675 $4,900 $750 $1,550 $800 $870 $1,800 $5,940 $1,000 $3,60 2) Find the sum of the products: = $26,425 3) Divide this sum by the number of tallys $26,425 33 = $800.76

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Graph Frequency Distributions $ AmountFrequency 10 193 20 294 30 394 40 498 50 592 60 693 How can we multiply the amount by the frequency? MidptProduct 14.5 24.5 34.5 44.5 54.5 64.5 43.5 98 138 356 109 193.5 Mean = 938 24 = 39.1

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Graph Frequency Distributions $ AmountFrequency 10 194 20 294 30 393 40 494 50 593 60 693 70 - 796 80 - 892 90 - 991 Mid ptProduct 14.558 24.598 34.5103.5 44.5178 54.5163.5 64.5193.5 74.5447 84.5169 94.5 Mean = $50.17

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Section 5 - 3 Graph Frequency Distributions

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Below are prices you have found for different tints for your car. Put them in an interval frequency chart and find the mean price. 253427361943541826 356350486852234552 686158392735424719

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Graph Frequency Distributions $ AmountFrequency 10 193 20 295 30 395 40 495 50 595 60 694 How can we multiply the amount by the frequency? MidptProduct 14.5 24.5 34.5 44.5 54.5 64.5 43.5 122.5 172.5 222.5 272.5 258 Mean = 1091.5 27 = $40.43

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Graph Frequency Distributions Yesterday: 1) Create a frequency chart a) Including an interval frequency chart 2) Find the mean from a frequency chart Today: 1) Read a stem & leaf plot 2) Graph box & whisker plots

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Graph Frequency Distributions 123123 0 5 7 8 24 8 9 10151718 2224 38 39

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Graph Frequency Distributions 1 8 9 9 2 0 2 3 3 4 4 4 4 6 8 9 9 3 0 1 2 4 5 6 7 4 2 3 Find the mean, mode, and 4 quartiles from this data: Mean =28 Mode =24 = 27= 23 = 32.5= 43

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Graph Frequency Distributions Steps to creating a box and whisker chart 1) Find the four quartiles 2) Draw a box from to 3) Draw a vertical line in the box at 4) Draw whiskers out to your lowest and highest data values

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Graph Frequency Distributions = 27= 23 = 32.5= 43 2723 32.5 43 18

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Graph Frequency Distributions You are doing research on the number of gasoline price changes per year. You have collected the following data. 1 1 1 2 3 7 9 2 0 3 6 6 3 8 8 9 9 9 9 9 4 0 5 2 2 4 5 5 5 6 7 6 3 4 4 7 2 a) Put this data in a box and whisker graph b) Are there any outliers?

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Graph Frequency Distributions = 39= 23 = 55= 72 3923 55 72 11 Lower Boundary:23 (1.5) (32)= -25 Upper Boundary:55 + (1.5) (32)= 103 IQR:55 23= 32

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Graph Frequency Distributions $7,000$5,200$9,100 $15,000 $3,000 What is the IQR?$9,100 - $5,200= $3,900 Lower Boundary:$5,200 (1.5)(3,900)= - $650 Upper Boundary:$9,100 + (1.5)(3,900)= $14,950

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Graph Frequency Distribution Page 236, 2-12