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## 6-8

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**6-8**Misleading Graphs Course 1 Warm Up Problem of the Day Lesson Presentation**Warm Up**Use the data below to answer each question. 20 21 23 24 27 33 34 35 36 38 40 41 42 43 46 52 53 1.What is the median? 2. What is the mode? 3. What is the range? 36 none 33**Problem of the Day**Nine students in a group found that their mean score was 86 for the first math test. On the next test, each student in the group scored 7 points higher than on the first test. What was their mean score for the two tests? 89.5**Additional Example 1A: Misleading Bar Graphs**Why is this bar graph misleading? Because the lower part of the vertical axis is missing, the differences in prices are exaggerated.**1**1 __ __ 2 2 Additional Example 1B: Misleading Bar Graphs What might people believe from the misleading graph? People might believe that Cars B and C cost 1 to 2 times as much as Car A. In reality, Cars B and C are only a few thousand dollars more than Car A.**Check It Out: Example 1A**Money Raised 600 580 570 560 Dollars 550 540 530 4thgraders 5thgraders 6th graders Why is this bar graph misleading? The vertical axis begins at 530 rather than 0.**Check It Out: Example 1B**Money Raised 600 580 570 560 Dollars 550 540 530 4thgraders 5thgraders 6th graders What might people believe from the misleading graph? That the 5th graders have raised twice as much money as the 4th graders.**Additional Example 2A: Misleading Line Graphs**Why are these graphs misleading? If you look at the scale for each graph, you will notice that the April graph goes from 54° to 66° and the May graph goes from 68° to 80°.**Additional Example 2B: Misleading Line Graphs**What might people believe from these misleading graphs? People might believe that the temperatures in May were about the same as the temperatures in April. In reality, the temperatures in April were about 15 degrees lower.**Additional Example 2C: Misleading Line Graphs**Why is this line graph misleading? The scale goes from $0 to $80, and then increases by $5.**Check It Out: Example 2A**November September Temperature (°F) Temperature (°F) Week Week Why are these graphs misleading? If you look at the scale for each graph, you will notice that the September Graph goes from 85° to 70° and the November graph goes from 65° to 50°.**Check It Out: Example 2B**November September Temperature (°F) Temperature (°F) Week Week What might people believe from these misleading graphs? People might believe that the temperatures in September were about the same as the temperatures in November. In reality, the temperatures in September were about 20 degrees higher.**Check It Out: Example 2C**Corp. C Corp. D Stock prices 80 70 Price of stock ($) 60 50 0 1985 1990 1995 2000 Year Why is this line graph misleading? The scale goes from $0 to $50, and then increases by $10.**Lesson Quiz**1. Why might this line graph be misleading? 2. What might people believe from the graph? The scale does not start at zero. Possible answer: that there were hardly any visitors on Monday