Using graphs to analyze data
Mathematics, Grade 8
Using graphs to analyze data
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Using graphs to analyze data
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Using graphs to analyze data
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Using graphs to analyze data
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Using graphs to analyze data
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Study Guide Using graphs to analyze data Mathematics, Grade 8
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USING GRAPHS TO ANALYZE DATA Key Points about Using Graphs to Analyze Data There are different types of graphs and ways that data can be analyzed using the graphs. • Graphs are based on the coordinate plane. Data are the points on the plane. Data is usually mathematical information in a set of numbers. If collecting data about the ages of people living on one street, the data is all the ages. The data can then be organized into groups, and evaluated. Mean, mode and median are different ways to evaluate data. • Data can be organized into a table, such as a frequency distribution. A histogram would then be made to display the data on the frequency distribution. Venn diagrams, stem and leaf plots, box and whisker plots, scatter plots, circle graphs, bar graphs, and line graphs are also used to display data. The type of graph used depends on the data and what information is being expressed. How to use graphs to analyze data: Data can be analyzed in many ways. • The mean or average, of the data can be found by adding the numbers together and dividing by the total number of data. • The median of a set of data is the middle number. The median can be found by arranging the data from low to high and finding the middle number. If a set of data has an even number of data, the median can be found by averaging the two middle numbers. • The mode of the data is the number that occurs most often in a set of data. It is possible for a set of data to have more than one mode. If a list of data has more than one number that occurs multiple times, then the numbers that occur the most are the mode. If all the numbers occur one time, the set of data has no mode. © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.
Data can be displayed in many ways. • A frequency distribution is used to display intervals or categories, and how many times that interval or category is picked. • A histogram is used to graph frequency distributions. • A bar graph compares data in categories and uses bars, either vertical or horizontal, to display the data. • A line graph is useful for graphing how data changes over time. With a line graph, data is plotted as points and lines are drawn to connect the points to show how the data changes. • A circle graph is used to display data that can add up to 1 or 100%. • A Venn diagram is used to display categories of data that may overlap. • A scatter plot takes the data from a table and plots it on the coordinate plane. The points on the scatter plot represent a relationship between the data. • A stem-and-leaf plot shows data based on two place values. The following data, 15, 16, 18, 22, 25, 36, 32, 31 would be shown as follows with the key being 1|3 = 13 with a stem-and-leaf plot: 1| 5, 6, 8 2| 2, 5 3| 1, 2, 6 • A box and whisker plot arranges data based on the median of the data. A box and whisker plot displays many pieces of information such as the lowest and highest numbers of the data and the median of the whole set of data as well as the median of the upper and lower half of the data. The median of the data for the lower half, whole set, and upper half are called the first quartile, second quartile, and third quartile respectively. © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.
Try This! 1. Find the mean, mode, median of the following data and make a box and whisker plot: 2, 5, 10, 2, 6, 7, 14, 6, 2, 8, 11, 9, 3 2. Make a bar graph for the data that shows the number of acres in national forest: Yellowstone- 2,200,000 Adirondack- 6,000,000 Glacier- 999,200 3. Make a line graph and a scatter plot for the data that shows how the price of sneakers has risen: 1970- $5.00 1980- $7.50 1990- $15.00 2000- $20.00 4. Make a circle graph for the data that shows the percentage of different color cars owned: Red cars -29% Blue cars-24% White cars-5% Silver cars-27% Green cars-15% 5. Make a stem-and-leaf plot for the data about number of hours worked at a factory: 35, 40, 42, 38, 25, 20, 33, 28, 41, 40 © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.
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