How do I recognize misrepresented data? SPI 0806.5.4 Recognize misrepresentations of published data in the media.

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Presentation transcript:

How do I recognize misrepresented data? SPI Recognize misrepresentations of published data in the media.

Statistical Displays  Bar Graph: shows the # of items by category.  Double Bar Graph  Box and Whisker Plot: shows measures of variation for a set of data (median, extremes, quartiles).  Double Box and Whisker Plot  Line Graph: shows change over time.  Line Plot: displays frequency.  Histogram: displays frequency of data divided into equal intervals (groups of data).  Stem and Leaf Plot: list of all the data.  Scatterplot: shows a relationship between two sets of data.  Circle Graph: compare sets of data as parts of a whole.

How do I recognize misrepresentations of data? How are graphs misleading?

How do I recognize misrepresented data? Ones:  Choose a graph to display the following data and share with your partner:  Energy usage in your home for the past year, categorized by month. Twos:  Do you agree?  Explain to Ones why that type of graph is or is not the best choice. If you disagree, what type of graph would you choose and why?

How do I recognize misrepresented data? Twos:  Choose a graph to display the following data and share with your partner:  Sales of a leading brand of toothpaste for the last 10 years. Ones:  Do you agree?  Explain to Twos why that type of graph is or is not the best choice. If you disagree, what type of graph would you choose and why?

How do I recognize misrepresentations of data? How are graphs misleading? An inappropriate graph has been used.

How do I recognize misrepresentations of data?

 Jerry wanted to ask for more funding for the school dance. To support his argument that more funding was needed, he created the following chart to show that attendance at the dance was increasing over time. Why is the chart misleading? A. The intervals between the lines are not equal. B. The years are decreasing from left to right. C. The chart only shows information for six years. D. The chart is a line graph instead of a pie chart.

How do I recognize misrepresentations of data? How are graphs misleading? Graph does not start at zero, axes are labeled incorrectly. An inappropriate graph has been used.

How do I recognize misrepresentations of data? 45% 40% 20% 10% Survey of Favorite Sport of High School Students Is this graph misleading? Why or why not?

How do I recognize misrepresentations of data? How are graphs misleading? Graph does not start at zero, axes are labeled incorrectly. Pie chart does not add up to a whole. An inappropriate graph has been used.

How do I recognize misrepresentations of data?

What is a sample? A random group that is chosen for collecting data. Why do you think that random samples are preferred? Random samples ensure that each part of the population being studied have an equal chance of being represented. This helps to prevent bias.

How do I recognize misrepresentations of data?  Which of the following would be an appropriate sample to determine the spirit days of homecoming week for all East High School students? A.Survey all of the band members. B.Survey all students in the French club. C.Survey the 12th graders. D.Survey the first 100 students encountered.

How do I recognize misrepresentations of data? How are graphs misleading? The sample is not random or is too small. Graph does not start at zero, axes are labeled incorrectly. Pie chart does not add up to a whole. An inappropriate graph has been used.

How do I recognize misrepresentations of data?  Look at this graph. Which statement is not true? A.There are as many trucks sold as wagons. B.Most people prefer vans. C.There are about as many sedans sold as the number of trucks. D.There are three times as many Jeeps sold as trucks.

How do I recognize misrepresentations of data? How are graphs misleading? The sample is not random or is too small. Graph does not start at zero, axes are labeled incorrectly. Pie chart does not add up to a whole. An inappropriate graph has been used. There is a break in the graph.

TCAP Practice