Investigation 3: Using the Mean Discuss the following with your partner or group. Write your answers on your own paper. Be prepared to share your answers with the class. A group of students answered the question many movies did you watch last month?” The table and “How histogram below show their data. Student Number Rachel 3 Find the following: Min 3 James 5 the total number of students Kara 6 the total number of movies watched Omar 6 Jamal 7 the mean number of movies watched Jessica 11 A new value is added for Carlos, who was home last month with a broken Colton 15 Mary 16 leg. He watched 31 movies. Jerome 18 How does the new value change the distribution on the histogram? (Make the histogram in your calculator.) Is this new value an outlier? Explain. What is the mean of the data now? Compare the mean from question 1 to the new mean. What do you notice? Explain. Does this mean accurately describe the data? Explain. Data for eight more students is added. Add these values to the list in your calculator. How do these values change the distribution on the histogram? Student Number 3 Are any of these new values outliers? Alexandra 5 What is the mean of the data now? Trevor 5 Kirsten 4 Robbie 4 Ana 4 Alicia 2 Brian 2 Investigation 4: Mean vs. Median Discuss the following with your partner or group. Write your answers on your own paper. Be prepared to share your answers with the class. The heights of Washington High School’s basketball players are: 5 ft 9in, 5 ft 4in, 5 ft 7 in, 5ft 6 in, 5 ft 5 in, 5 ft 3 in, and 5 ft 7 in. A student transfers to Washington High and joins the basketball team. Her height is 6 ft 10in.
Investigation 3: Using the Mean Discuss the following with your partner or group. Write your answers on your own paper. Be prepared to share your answers with the class. A group of students answered the question “How many movies did you watch last month?” The table and histogram below show their data. Student Number Rachel 3 Min 3 James 5 Kara 6 Omar 6 Jamal 7 Jessica 11 Colton 15 Mary 16 Jerome 18 Find the following: the total number of students the total number of movies watched the mean number of movies watched A new value is added for Carlos, who was home last month with a broken leg. He watched 31 movies. How does the new value change the distribution on the histogram? (Make the histogram in your calculator.) Is this new value an outlier? Explain. What is the mean of the data now? Compare the mean from question 1 to the new mean. What do you notice? Explain. Does this mean accurately describe the data? Explain. Data for eight more students is added. Student Number 3 Alexandra 5 Trevor 5 Kirsten 4 Robbie 4 Ana 4 Alicia 2 Brian 2 Add these values to the list in your calculator. How do these values change the distribution on the histogram? Are any of these new values outliers? What is the mean of the data now? Investigation 4: Mean vs. Median Discuss the following with your partner or group. Write your answers on your own paper. Be prepared to share your answers with the class. The heights of Washington High School’s basketball players are: 5 ft 9in, 5 ft 4in, 5 ft 7 in, 5ft 6 in, 5 ft 5 in, 5 ft 3 in, and 5 ft 7 in. A student transfers to Washington High and joins the basketball team. Her height is 6 ft 10in.