Given summary statistics, describe the best measures of center and spread. Describe reasoning.
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This lesson provides students with focused practice on all of the skills they will need to complete the project in lessons 10–12.
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A science museum has a “Traveling Around the World” exhibit. Using 3-D technology, participants can make a virtual tour of cities and towns around the world. Students at Waldo High School registered with the museum to participate in a virtual tour of Kenya, visiting the capital city of Nairobi and several small towns. Before they take the tour, however, their mathematics class decided to study Kenya using demographic data from 2010 provided by the US Census Bureau. They also obtained data for the United States from 2010 to compare to data for Kenya.
The following histograms represent the age distributions of the two countries.
Algebra I > Module 2 > Topic B > Lesson 8 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
A random sample of 200 people from Kenya in 2010 and a random sample of 200 people from the United States were available for study. Box plots constructed using the ages of the people in these two samples are shown below.
Describe the center, spread, and shape of each graph.
Algebra I > Module 2 > Topic B > Lesson 8 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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A statistically-minded state trooper wondered if the speed distributions are similar for cars traveling northbound and for cars traveling southbound on an isolated stretch of interstate highway. He uses a radar gun to measure the speed of all northbound cars and all southbound cars passing a particular location during a 15-minute period. Here are his results:
Draw box plots of these two data sets, and then use the plots and appropriate numerical summaries of the data to write a few sentences comparing the speeds of northbound cars and southbound cars at this location during the fifteen-minute time period.
Speed Trap, accessed on June 21, 2017, 10:37 a.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.