Lesson 2.1.3 – Mean, Median, Mode, and Range

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Teacher Lesson Plan Lesson: 2.1.3 – Supplement Mean, Median, Mode, and Range

This lesson should be taught from the PowerPoint or much of the instruction will be lost.

CC Standards 6.SP.3 Recognize that a measure of center for a numerical data set summarizes all of its values with a single

number, while a measure of variation describes how its values vary with a single number. Objective

Students will… learn to find the mean, median, mode, and range give a set of data. Mathematical Practices #1 Make sense of problems and persevere in solving them #2 Reason abstractly and quantitatively #5 Use appropriate tools strategically (a calculator may be used) Teacher Input Bellwork: Review bellwork. Homework: Review important problems assigned the previous night. Lesson: Teach as directed in the PowerPoint. Students will follow along in their student notes.

Discuss mean and its use in finding averages on a report card. Demonstrate how to calculate the mean.

Discuss median. Show picture of Destiny’s Child. Point out Beyonce in the middle. How do I know Beyonce is in the middle? Well, there is one person on each side of Beyonce, leaving her in the middle! Show picture of Original Destiny’s Child with the 4th member. Now, who’s in the middle? Students will say… there are two girls in the middle! Demonstrate how to find the median.

Discuss mode and how it is used to determine how to fill a vending machine. Demonstrate how to determine the mode. Notice… there are more “1’s” than any other number.

Discuss range and how it is used with temperatures. Demonstrate how to calculate the range.

Practice Classwork Page 3 Homework Page 4 Closure See last slide of PowerPoint

Lesson 2.1.3 – Mean, Median, Mode, and Range

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Student Notes

Measures of Central Tendencies

Mean = Average Is the sum of the numbers in the data set divided by how many numbers are in the set.

Example: 2, 3, 1, 1, 0, 1, 2, 4 Step 1: 2 + 3 + 1 + 1 + 0 + 1 + 2 + 4 = 14 Step 2: 14 ÷ 8 = _______ Mean

Median = Middle Is the middle number in the data set arranged in order by value. If there are 2 middle numbers, find the average of the 2 middle numbers and that will be the median.

Example: 2, 3, 1, 1, 0, 1, 2, 4

Order the numbers: 0, 1, 1, 1, 2, 2, 3, 4 There are two middle numbers. 1 + 2 = 3 3 ÷ 2 = _______ Median

Mode = Most It is the number that occurs the most often in a dataset. Example: 2, 3, 1, 1, 0, 1, 2, 4 Mode = _______

Range = Biggest - Smallest The range is not a measure of central tendency; however it is a very useful way to describe data! The range describes the spread of the data. It is the difference between the highest and lowest data value in a set of numbers.

Example: 2, 3, 1, 1, 0, 1, 2, 4 4 – 0 = _______ Range

You Try! Mandy’s Math Test Scores: 90, 85, 80, 70, 90, 65

Mean_______ Median_______ Mode_______ Range _______

Lesson 2.1.3 – Mean, Median, Mode, and Range

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Classwork Name: _________________________ Date: ______ Period:______

Directions: For Numbers 1 through 4, find the mean, median, mode(s), and range for each data set.

Lesson 2.1.3 – Mean, Median, Mode, and Range

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Homework Name: _________________________ Date: ______ Period:______

Directions: Using a calculator, find the mean, median, mode and range. Median - you must show where you ordered the numbers to find your median! Mode - remember some datasets may have more than one mode, others may not have a mode at all. 1) 9, 3, 15, 11, 8, 5, 5 Mean: _____ Median: _____ Mode: _____ Range: _____ 2) 20, 15, 6, 5, 2, 9, 10, 2, 12 Mean: _____ Median: _____ Mode: _____ Range: _____ 3) 95, 54, 78, 35, 78 Mean: _____ Median: _____ Mode: _____ Range: _____ 4) 16, 16, 26, 32, 5, 7 Mean: _____ Median: _____ Mode: _____ Range: _____

Lesson 2.1.3 – Mean, Median, Mode, and Range

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Lesson 2.1.3 – Mean, Median, Mode, and Range

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Classwork

Lesson 2.1.3 – Mean, Median, Mode, and Range

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