Copyright © Ed2Net Learning, Inc.1 Grade 5 Making Predictions and Interpreting Graphs

Copyright © Ed2Net Learning, Inc.2 Review Draw a line graph, pie graph and a bar graph to represent the data given below: Number of daysPlant growth Sunday0 Monday2 Tuesday4 Wednesday6 Thursday9 Friday10

Copyright © Ed2Net Learning, Inc.3 Making Predictions Line graphs are often used to predict future events because they show trends over time. Example: The table shows the amount of money won by each winner of the Daytona 500 from 1985 to  Describe the trends in the winning amounts.  Make a prediction as to the amount of money the winner of the 2005 Daytona 500 will receive. Money won by Daytona 500 Winners, YearAmount ($) YearAmount ($) YearAmount ($) , , , , , ,059, , , ,172, , , ,277, , , ,331, , , ,409,017

Copyright © Ed2Net Learning, Inc.4 Making Predictions Continue the graph with a dotted line in the same direction until you reach a vertical position of Notice that the increase since 1998 has been steady. By extending the graph, you can predict that the winner of the 2005 Daytona 500 will receive about $1,600,000

Copyright © Ed2Net Learning, Inc.5 Your Turn! What does the graph tell you about the popularity of snowboarding?

Copyright © Ed2Net Learning, Inc.6 Graphs let readers analyze and interpret data easily. However, graphs are sometimes drawn to influence conclusions by misrepresenting data. As you look at data displays, consider these questions:  Is the information shown accurately ?  Is the presentation trying to influence you? Analyzing Graphs

Copyright © Ed2Net Learning, Inc.7 Analyzing Graphs Graphs can lead readers to the wrong conclusion about the data when the numbers on either scale are inconsistent, the vertical or horizontal scale does not start at zero, or different scales are used.

Copyright © Ed2Net Learning, Inc.8 Unequal Intervals The following graph is the marks scored by a particular student in the first four months JAN FEB MAR APRIL ● ● ● ● MARKSSCOREDMARKSSCORED a. What impression is given by the student’s performance ? The graph suggests only a slight drop in support for the student b. Why is the graph misleading? The vertical scale uses unequal intervals. So the drop from 70 to 40 does not look so large. Student’s Performance

Copyright © Ed2Net Learning, Inc.9 An auto dealer made the graph at the right AprilMayJune a.What impression is given by the graph ? Answer: It looks like there was a dramatic increase in sales. b. Why is the graph misleading ? Answer: The vertical scale does not begin at 0. Month Scale not starting at 0

Copyright © Ed2Net Learning, Inc.10 Your Turn! The graphs show how the price of spring dance tickets increased. Which graph makes it appear that the cost increased more rapidly? Explain. B

Copyright © Ed2Net Learning, Inc.11 Analyzing Graphs Statistics can also be used to influence conclusions. Using an inappropriate measure of central tendency can cause readers to make a wrong conclusion.

Copyright © Ed2Net Learning, Inc.12 Misleading Statistics An amusement park boasts that the average height of their roller coasters is 170 feet. Explain how using this average to attract visitors is misleading.  Mean: 170ft  Median: 126ft  Mode: none CoasterHeight (ft) Viper109 Monster135 Red Zip115 Tornado365 Riptide126 The average used by the park was mean. This measure is much greater than most of the heights listed because of the outlier. So, it is misleading to use this measure to attract visitors. A more appropriate measure to describe the data would be the median, which is closer to the height of most of the coasters.

Copyright © Ed2Net Learning, Inc.13 Your Turn! Oleta’s test scores in order from least to greatest were 19, 75, 76, 82, 83. Find the mean, median and mode. Which measure might be misleading in describing the average number of points Oleta earned.

Copyright © Ed2Net Learning, Inc.14 Puzzle puzzles/12-piece-jigsaw/ gardener.html

Copyright © Ed2Net Learning, Inc.15 The following graph shows the admission price from 1985 to ● ● ● ● a.What impression is given by the graph ? b.Why is the graph misleading ? Admission price Year A m o u n T ($) Assessment

Copyright © Ed2Net Learning, Inc.16 Assessment The following are the enrollment of males and females in a college College Enrollment Male Female Gender Stud ents (in thous ands) a.What impression is given by the graph ? b.Why is the graph misleading ?

Copyright © Ed2Net Learning, Inc.17 Assessment Decide whether each graph is misleading. If misleading, answer the following: a. What impression is given by the graph? b. Why is the graph misleading? c. Redraw the graph so that it is not misleading. 1. week ■ ■ ■ ■ ■ Phone Sales

Copyright © Ed2Net Learning, Inc.18 Line graphs are often used to predict future events because they show trends over time. The line graph misleads when the scale might have unequal intervals Bar graphs create a misleading impression if the vertical scale does not start at 0. Using an inappropriate measure of central tendency can cause readers to make a wrong conclusion. Review

Copyright © Ed2Net Learning, Inc.19 Good Job! Remember to do your practice worksheets!!!