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Choosing an Appropriate Display
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Use a bar graph to display and compare data. There are several ways to display data. Some types of displays are more appropriate than others, depending on how the data is to be analyzed. x x x x x x Use a line plot to show the frequency of values. 1 7 9 2 5 3 6 1 Use a stem-and-leaf plot to show how often data values occur and how they are distributed.
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Use a line graph to show how data change over a time period. Use a Venn Diagram to show relationships between two or more data sets. Use a circle graph to show how a set of data is divided into parts.
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Additional Example 1A: Choosing an Appropriate Display The students want to create a display to show each species of butterfly as a percentage of all species in the butterfly family. Which type of graph would they use? Explain. 7Gossamer-wing 10Skippers 5Swallowtails 4Whites and sulphurs Number of SpeciesButterfly Family Circle graph; each listed species is a part of the whole population.
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Additional Example 1B: Choosing an Appropriate Display Visitors to the park record how many times they see a member of one of the four butterfly families during their visit. You want to make a display of how many times a member of each butterfly family was spotted. Which type of graph would you use? Explain. I would use a bar graph because this display makes it easy to compare families.
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Check It Out: Example 1 Which type of display should you use to show how many different species from four rose families there are in a garden? Explain. 23English 13Hybrid Teas 14Standard Tree 2Miniature Number of Species in the GardenRose Family
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Additional Example 2: Identifying the Most Appropriate Display The table shows the number of visitors to the butterfly park during a four month period. 432May 657June 856July 723August VisitorsMonths Explain why each kind of display would or would not appropriately represent the data.
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Additional Example 2A: Identifying the Most Appropriate Display Circle Graph 432May 657June 856July 723August VisitorsMonths The circle graph does not accurately display the number of visitors per month, so it is not appropriate in representing the data. A circle graph shows how a set of data is divided into parts.
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Additional Example 2B: Identifying the Most Appropriate Display Bar Graph 432May 657June 856July 723August VisitorsMonths The bar graph appropriately displays and compares the data and the number of visitors during each month. A bar graph displays and compares data.
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Additional Example 2C: Identifying the Most Appropriate Display Histogram 432May 657June 856July 723August VisitorsMonths There are only four pieces of data, which gives four bars of height 1, so the histogram is not appropriate. A histogram shows the frequency of data within equal intervals.
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Additional Example 2D: Identifying the Most Appropriate Display Line Graph 432May 657June 856July 723August VisitorsMonths The line graph appropriately displays and compares the data and the number of visitors during each month. A line graph shows how data changes over time.
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Check It Out: Example 2 The table shows the population of each type of animal at an animal sanctuary. Does the circle graph below appropriately represent the same data? Explain. 16Koala 20Chimpanzee 4Sumatran Tiger 10Male Gorilla Population Animal
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