Warmup What is the graph telling you?

Lesson 9 Data Display

Words vs. Data Display The students in Mr. Math’s geometry class scored 75, 80, 90, 85, 75, 95, 95, 75, 85, 90, 95, 85, 85, 85, 75, 80, 85, 95, 90, 85, 75, 80, 75, 80, and 85 on a recent exam. GradeFrequency

Words vs. Table Jennifer ran 5 minutes on the treadmill each day for her first week. During each additional week, she added 1 minute to her daily time. Make a table of her daily time for each of the first five weeks of using the treadmill. WeekDaily Time

Words vs. Matrix Juan saw 6 horror, 3 drama, and 2 documentary movies in the past month. Matt viewed 7 drama, 4 documentary, and 3 horror movies during the same time. Make a matrix to show their movie viewing.

Words vs. Frequency Chart Make a frequency chart of the ages of students in this class. Age Tally Frequency

Words vs. Stem-and-Leaf Organize the collection of data into a stem-and-leaf plot Khan Academy Stem-and- Leaf Video Lesson Stem and Leaf Interactive

Another Type of Stem-and-Leaf Plot The back-to-back stem-and-leaf plot shows the ages of members of the U.S men’s and women’s 2004 Olympic gymnastics teams. Compare the ages of the gymnasts on the two teams. Gymnastics

Words vs. Box-and-Whiskers Box-and-Whiskers Find the median (half-way point when data is in order) then find the lower quartile (median of the bottom half) and upper quartile (median of the top half). Label the line with the minimum being near the left and the maximum being near the right of the line. Khan Video on Box-and-Whiskers

Words vs. Box-and-Whiskers Make a box-and-whiskers of the following recent test scores. 71, 85, 73, 95, 98, 77, 71, 86, 100, 82, 89 Make your own box-and-whiskers on-line.

EXAMPLE 2 Interpret a box-and-whisker plot Precipitation The box-and-whisker plots below show the normal precipitation (in inches) each month in Dallas and in Houston, Texas. a. For how many months is Houston’s precipitation less than 3.5 inches?

EXAMPLE 2 Interpret a box-and-whisker plot SOLUTION a. For Houston, the lower quartile is 3.5. A whisker represents 25% of the data, so for 25% of 12 months, or 3 months, Houston has less than 3.5 inches of precipitation.

Words vs. Line Plot Organize the following test scores into a line plot

What is an outlier? A outlier is data that is numerically distant from the other data. Example: The teacher’s age alongside the ages of the students in this class.

EXAMPLE 2 Interpret a stem-and-leaf plot SOLUTION Consider the distribution of the data. The interval for 10–19 years old contains more than half of the female gymnasts. The interval for 20–29 years old contains more than half of the male gymnasts. The clustering of the data shows that the men’s team was generally older than the women’s team.

GUIDED PRACTICE Television The back-to-back stem-and-leaf plot shows the percents of students in 24 countries who report watching television for 4 or more hours each day. Compare the data for female and male students.

GUIDED PRACTICE Precipitation In Example 2, for how many months was the precipitation in Dallas more than 2.6 inches? SOLUTION For Dallas, the greater quartile is 2.6, A whisker represent 50% of the data, so for 50% of 12 months, or 6 months, Dallas has more than 2.6 inches of precipitation.

Temp humidity 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.

Heat Index ANSWERS Temp humidity 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

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

ANSWERS BOX-AND-WHISKERS Graph 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?

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 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?

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

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 % < Which is more popular… a. golfing or running? b. hiking or cycling? c. basketball or weightlifting? d. dancing or rollerblading?

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

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

ANSWERS 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 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

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

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

Assignment