Central Tendency

Central Tendency

Mean, Mode, Median, and Range Kathleen A. Kaffenberg

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Instructional Objectives v To review, apply and maintain graphing skills presented at earlier levels v To familiarize students with graphs using either horizontal or vertical bars v To apply data from content areas and real life to graphs v To have students apply learned math skills to interpreting a Stem and Leaf Plot and Histogram v To have students find the mean of a set of data

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Mean w Mean is an average found by adding all the data in a collection and then dividing by the number of data added.

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Mode w Mode is an average found by locating the most common item or items in a collection of data.

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Median w Median is an average found by locating the middle number or the average of the two middle numbers when the data in a collection are listed in order.

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Tasks and Activities Day 1 -

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Resource: Windows on Math Objectives: vTo develop a solid understanding of average by using concrete materials vTo define mean, one kind of average, with respect to a series of studentsÕ names Assessment: vObserve how students find the mean by answering questions in their Activity Book using counters and six comic strips Mean, Mode, Median

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Tasks and Activities Day 2 Ð

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Resources: Scott Foresman Exploring Mathematics Objectives: vTo read line plots vTo find the median, mean, and mode of a set of data Assessment: Complete workbook page

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Tasks and Activities Day 3 Ð

Resource: Mailbox, October/November 1996 Objectives: v To measure studentsÕ heights using string v To record the data on a response sheet v To attach the response sheet to the board in order from least to greatest v To determine the range, mean, mode, and median of class activity Assessment: v

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To have students create a bar graph using the data for mean collected in the class activity Mean, Mode, Median

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Tasks and Activities Day 4 Ð

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Resource: Windows on Math Activity 2 Objectives: vTo reveal a series of objects to students for one minute. vTo cover objects and have students write down the names of as many items as possible in two minutes vTo again review the objects and have students write down the number of correct items. vTo construct concrete graphs in groups reflecting the number of correct items Assessment: vObserve how the students find the mean using connecting cubes vObserve how students rearrange cubes to determine mode and median as well Mean, Mode, Median

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Tasks and Activities Day 5 Ð Resources: Windows on Math disk presentation Objectives: vTo view ÒWeather WatchÓ to watch for the different datagathering methods mentioned in the movie. vTo find the mean, median, and mode for a snowfall that was measured in six different locations in northern Vermont vTo find the mean, median, and mode for the temperature in towns in Vermont Assessment: vTo give students sets of data that represent temperature changes in imaginary towns and have them find the mean, median, and mode for the high temperature

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Welcome to the Caribbean w w w w

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You will receive a slide of an island with one to five hotels. Name your island and hotel(s) and draw your island on the map of the Caribbean. Create a simple brochure about your island and present the information to the class. Enter the name of your island on the Data Explorer data sheet.

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Welcome (Continued) 5. After reviewing all the slides, which the teacher will update with your groupsÕ information, and recording the data, answer the following questions: × What is the mode for the number of hotels per island? × What is the mean number of hotels per island? × What is the median number of hotels per island? × Which of the three measures most fairly describes how many hotels a visitor can expect of find on a typical island in the archipelago? Why? × Which of the measures gives the best idea of how easily a visitor would get a hotel room somewhere in the archipelago? Why? 6. Use Data Explorer to create a Stem and Leaf Plot and a Histogram to check your answers. 8/29/00

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Caribbean Islands

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Island One

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Island Two

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Island Three

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Island Four

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Island Five

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Island Six

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Island Seven

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Island Eight

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Island Nine

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Island Ten

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The Finale Suddenly, a hurricane struck the Caribbean and damaged onethird of your hotelsÉbut thatÕs another lesson!

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