1. AIMS Math Prep Interpreting Graphs March 23, 2009 Monday

2. Period 1 Temp humidity 8084889296100104108 4080838894101109119130 50818595103113118131 60828895105116129 708390100112126 808494106121 908698113131 10087103121 Heat Index The table above represents how the air temperature combines with the humidity to form the heat index. Tell if each of the following statements is true or false. 1. As the humidity and temperature decrease, the heat index increases. 2. As humidity decreases and the temperature increases, the heat index decreases. 3. As the humidity and temperature increase, the heat index increases. 4. As the humidity and temperature increase, the heat index decreases. 5. As humidity increases and the temperature decreases, the heat index increases. 6. As the humidity and temperature decrease, the heat index decreases. 7. As humidity increases and the temperature decreases, the heat index decreases. 8. As humidity decreases and the temperature increases, the heat index increases.

3. Period 1 ANSWERS Temp humidity 8084889296100104108 4080838894101109119130 50818595103113118131 60828895105116129 708390100112126 808494106121 908698113131 10087103121 Heat Index The table above represents how the air temperature combines with the humidity to form the heat index. Tell if each of the following statements is true or false. 1. As the humidity and temperature decrease, the heat index increases. False 2. As humidity decreases and the temperature increases, the heat index decreases. False 3. As the humidity and temperature increase, the heat index increases. True 4. As the humidity and temperature increase, the heat index decreases. False 5. As humidity increases and the temperature decreases, the heat index increases. False 6. As the humidity and temperature decrease, the heat index decreases. True 7. As humidity increases and the temperature decreases, the heat index decreases. True 8. As humidity decreases and the temperature increases, the heat index increases. True

4. Period 2 Note: On a box-and-whiskers graph, each part of the graph represents 25% of the scores. 1. What was the minimum score? 2.What was the maximum score? 3.What is the median score? 4.What is the lower quartile score? 5.What is the upper quartile score? 6.What percentage of the scores is greater than 74? 7.What percentage of the scores is less than 82? 8.What percentage of the scores is between 74 and 91? BOX-AND-WHISKERS Graph

5. Period 2 ANSWERS Note: On a box-and-whiskers graph, each part of the graph represents 25% of the scores. 1. What was the minimum score? 52 2.What was the maximum score? 98 3.What is the median score? 82 4.What is the lower quartile score? 74 5.What is the upper quartile score? 91 6.What percentage of the scores is greater than 74? 75% 7.What percentage of the scores is less than 82? 50% 8.What percentage of the scores is between 74 and 91? 50% BOX-AND-WHISKERS Graph

6. Period 3 1. Which country has had the highest unemployment rate? 2. When did the minimum unemployment rate occur? 3. Estimate the unemployment rate for Europe in 2001. 4. During what year did the United States experience the lowest unemployment rate? 5. If the trend continued, what was the likely unemployment rate for Japan in 2007?

7. Period 3 ANSWERS 1. Which country has had the highest unemployment rate? Canada 2. When did the minimum unemployment rate occur? 1991 3. Estimate the unemployment rate for Europe in 2001. 7.8% 4. During what year did the United States experience the lowest unemployment rate? 2000 5. If the trend continued, what was the likely unemployment rate for Japan in 2007? 3.8%

8. Period 4 1. Which activity is most popular? 2. Which activity(ies) are the least popular? 3. Which activities have the mode popularity? 4. Which activities have > 10% rate of engagement? 5. Which activities have < 1% rate of engagement? 6. Which activities have 1.2 < engagement % < 2.0 7. Which is more popular… a. golfing or running? b. hiking or cycling? c. basketball or weightlifting? d. dancing or rollerblading?

9. Period 4 ANSWERS 1. Which activity is most popular? walking 2. Which activity(ies) are the least popular? Hockey, wrestling, gymnastics 3. Which activities have the mode popularity? Mode means most frequent occurences…equestrian, rollerblading, skiing…hockey, wrestling, gymnastics 4. Which activities have > 10% rate of engagement? Walking, weightlifting, cardio 5. Which activities have < 1% rate of engagement? Volleyball, hiking, martial arts, equestrian, rollerblading, skiing, hockey, wrestling, gymnastics 6. Which activities have 1.2 < engagement % < 2.0 cannot be = to 1.2 but can be equal to 2.0 and everything in between…bowling, racquet sports, football, softball, dancing, yoga 7. Which is more popular… a. golfing or running? running b. hiking or cycling? cycling c. basketball or weightlifting? weightlifting d. dancing or rollerblading? dancing

10. Period 5 110 100 90 80 70 60 50 Month Temperature (°F) Jan Feb Mar Apr May June July Aug Sept Oct Nov Dec Average Daily Temperature 1.Which month has the maximum average daily temperature? 2.Which month has the minimum average daily temperature? 3.What is the range of temperatures? 4.What is the likely mean temperature for the month of June? 5.Does the graph represent the chart to the right? (yes or no) MonthMean Temperature Jan60 Feb70 Mar78 Apr82 May90 June July108 Aug102 Sept98 Oct95 Nov98 Dec100

11. Period 5 ANSWERS 110 100 90 80 70 60 50 Month Temperature (°F) Jan Feb Mar Apr May June July Aug Sept Oct Nov Dec Average Daily Temperature 1.Which month has the maximum average daily temperature? July 2.Which month has the minimum average daily temperature? January 3.What is the range of temperatures? Maximum – Minumum = 108 – 60 = 48 4.What is the likely mean temperature for the month of June? Around 100 5.Does the graph represent the chart to the right? ( yes or no) No MonthMean Temperature Jan60 Feb70 Mar78 Apr82 May90 June July108 Aug102 Sept98 Oct95 Nov98 Dec100

12. Period 6 Using the tax table, specify the tax for the following. single with taxable income of $32,175 head of household with taxable income of $32,725 married, filing jointly, with taxable income of $32,503 married, filing separately, with taxable income of $32,698 single with taxable income of $32,550 head of household with taxable income of $32,400

13. Period 6 - ANSWERS Using the tax table, specify the tax for the following. single with taxable income of $32,175 head of household with taxable income of $32,725 married, filing jointly, with taxable income of $32,503 married, filing separately, with taxable income of $32,698 single with taxable income of $32,550 head of household with taxable income of $32,400