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

2. 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

3. 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 2002.  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, 1985 - 2002 YearAmount ($) YearAmount ($) YearAmount ($) 1985 185,500 1991 233,000 1997 377,410 1986 192,715 1992 244,050 1998 1,059,805 1987 204,150 1993 238,200 1999 1,172,246 1988 202,940 1994 258,275 2000 1,277,975 1989 184,900 1995 300,460 2001 1,331,185 1990 188,150 1996 360,775 2002 1,409,017

4. 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 2005. 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

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

6. 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

7. 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.

8. 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 0 5 10 15 20 40 70● ● ● ● 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

9. Copyright © Ed2Net Learning, Inc.9 An auto dealer made the graph at the right. 76 77 78 79 80 81 82 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

10. 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

11. 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.

12. 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.

13. 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.

14. Copyright © Ed2Net Learning, Inc.14 Puzzle http://www.thekidzpage.com/onlinejigsawpuzzles/kids-jigsaw- puzzles/12-piece-jigsaw/04-27-07-gardener.html

15. Copyright © Ed2Net Learning, Inc.15 The following graph shows the admission price from 1985 to 2000 1985 1990 1995 2000 0 5 15 25 ● ● ● ● a.What impression is given by the graph ? b.Why is the graph misleading ? Admission price Year A m o u n T ($) Assessment

16. Copyright © Ed2Net Learning, Inc.16 Assessment The following are the enrollment of males and females in a college College Enrollment 4000 4400 4800 Male Female Gender Stud ents (in thous ands) a.What impression is given by the graph ? b.Why is the graph misleading ?

17. 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 0 1 2 3 4 4 6 8 10 12 ■ ■ ■ ■ ■ 2. 0 32 33 34 35 1 2 3 4 Phone Sales

18. 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

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