IM 6.8.14 Lesson: Comparing Mean and Median

[size=150]Here are two dot plots. The first dot plot shows the heights of the first 22 U.S. presidents. The second dot plot shows the heights of the next 22 presidents.[br][img]data:image/png;base64,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[/img][br]Based on the two dot plots, decide if you agree or disagree with the following statement. Explain your reasoning.[/size][br][br]The median height of the first 22 presidents is 178 centimeters.
The mean height of the first 22 presidents is about 183 centimeters.
A typical height for a president in the second group is about 182 centimeters.
U.S. presidents have become taller over time.
The heights of the first 22 presidents are more alike than the heights of the second 22 presidents.
The MAD of the second data set is greater than the MAD of the first set.
Your teacher will provide the height data for your class. Use the data to complete the following questions.
Find the mean height of your class in centimeters.
Find the median height in centimeters. Show your reasoning.[br][br]
[size=150]Suppose that the world’s tallest adult, who is 251 centimeters tall, joined your class. Discuss the following questions with your group and explain your reasoning.[/size][br][br]How would the mean height of the class change?
How would the median height change?
Find the new mean.
Which measure of center—the mean or the median—changed more when this new person joined the class? Explain why the value of one measure changed more than the other.
[size=150]The world’s smallest adult is 63 centimeters tall. Suppose that the world’s tallest and smallest adults both joined your class. Discuss the following questions with your group and explain your reasoning.[/size][br][br]How would the mean height of the class change from the original mean?
How would the median height change from the original median?
Find the new mean.
Find the new median.[br]
How did the measures of center—the mean and the median—change when these two people joined the class? Explain why the values of the mean and median changed the way they did.
Here are six cards. Each has either a dot plot or a histogram. Sort the cards into two piles based on the distributions shown. Be prepared to explain your reasoning.
Discuss your sorting decisions with another group. Did you have the same cards in each pile? If so, did you use the same sorting categories? If not, how are your categories different?[br]Pause here for a class discussion.
Use the information on the cards to answer the following questions.
Card A: What is a typical age of the dogs being treated at the animal clinic?
Card B: What is a typical number of people in the Irish households?
Card C: What is a typical travel time for the New Zealand students?
Card D: Would 15 years old be a good description of a typical age of the people who attended the birthday party?
Card E: Is 15 minutes or 24 minutes a better description of a typical time it takes the students in South Africa to get to school?
Card F: Would 21.3 years old be a good description of a typical age of the people who went on a field trip to Washington, D.C.?
How did you decide which measure of center to use for the dot plots on Cards A–C?
What about for those on Cards D–F?
Most teachers use the mean to calculate a student’s final grade, based on that student’s scores on tests, quizzes, homework, projects, and other graded assignments.[br][br]Diego thinks that the median might be a better way to measure how well a student did in a course. Do you agree with Diego? Explain your reasoning.
Close

Information: IM 6.8.14 Lesson: Comparing Mean and Median