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Mean, Median, Mode, Range

1

Teacher

Subject

Topic

Title

Grade(s)

Cross­curricular link(s)

Prior knowledge

Intended learning outcome(s)

Recommended usage

Math

Mean, Median, Mode

Mean, Median, and Mode

Fifth Grade

Place value of numbers, addition, division,

• Find the average of a set of numbers• Find the range of a data set• Find the mean, median and mode of a data set

Introductory and review.

How to use Notebook(TM) softwareLearn helpful tips and tricks for developing and presenting lesson activities.

© 2006 SMART Technologies Inc. All rights reserved. For further information, please see copyright notice.

Gretchen Lutes

What is the difference between mean, median and mode?

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Access Information

Mean, Median, Mode, Range

2

Range­the difference between the largest number and the smallest number in a listexample

Find the range of these numbers: 25, 19, 28, 36, 14highest number ­ lowest number = range

36­14=22Range =22

mean­the number found when the sum of two or more numbers is divided by the number of addends in the sum; also called the average

example

To fine the mean of the numbers 5, 6, 10, first add the numbers.

5 + 6 + 10 = 21

Then, since there were three addends, divide the sum by 3.

21 ÷ 3 = 7

The mean of 5, 6, and 10 is 7.

Mean, Median, Mode, Range

3

median ­ the middle number (or the average of the two central numbers) of a list of data when the numbers are arranged in order from the least to greatest

1, 1, 2, 4, 5, 7, 9, 15, 24, 36, 44example

1, 1, 2, 4, 5, 7, 9, 15, 24, 36, 44

mode­the number of numbers that appear most often in a list of data

example

5, 12, 32, 5, 16, 5, 7, 12

­

5, 12, 32, 5, 16, 5, 7, 12

In this set of data, the number 5 appears most often and is the mode

Mean, Median, Mode, Range

4

Let's practice range....Directions Step 1: Click on the number generator, then drag five numbers to the lines and put them in order from least to greatest.

Step 2: Drag the highest number and lowest number below. Subtract the lowest number from the highest number.

57 6825 6023

­ highestlowest

6823

Let's practice range....Directions Step 1: Click on the number generator, then drag five numbers to the lines and put them in order from least to greatest.

Step 2: Drag the highest number and lowest number below. Subtract the lowest number from the highest number.

­ highestlowest

Mean, Median, Mode, Range

5

Let's practice range....Directions Step 1: Click on the number generator, then drag five numbers to the lines and put them in order from least to greatest.

Step 2: Drag the highest number and lowest number below. Subtract the lowest number from the highest number.

­ highestlowest

Let's practice range....Directions Step 1: Click on the number generator, then drag five numbers to the lines and put them in order from least to greatest.

Step 2: Drag the highest number and lowest number below. Subtract the lowest number from the highest number.

­ highestlowest

Mean, Median, Mode, Range

6

Let's practice mean....Directions Step 1: Click on the number generator, then drag four numbers to the lines and add them.

6447

76+ 22

Step 2: Take the answer, clone it and divide it by 4 since there are 4 addends in the problem.

4The answer is the mean.

Let's practice mean....Directions Step 1: Click on the number generator, then drag four numbers to the lines and add them.

+

Step 2: Take the answer, clone it and divide it by 4 since there are 4 addends in the problem.

4The answer is the mean.

Mean, Median, Mode, Range

7

Let's practice mean....Directions Step 1: Click on the number generator, then drag four numbers to the lines and add them.

+

Step 2: Take the answer, clone it and divide it by 4 since there are 4 addends in the problem.

4The answer is the mean.

Let's practice mean....Directions Step 1: Click on the number generator, then drag four numbers to the lines and add them.

+

Step 2: Take the answer, clone it and divide it by 4 since there are 4 addends in the problem.

4The answer is the mean.

Mean, Median, Mode, Range

8

Let's practice median....Directions Step 1: Click on the number generator, then drag five numbers to the lines and place them in order from least to greatest.

Step 2: The answer in the middle is the median.

1006243 8875

Let's practice median....Directions Step 1: Click on the number generator, then drag five numbers to the lines and place them in order from least to greatest.

Step 2: The answer in the middle is the median.

Mean, Median, Mode, Range

9

Let's practice median....Directions Step 1: Click on the number generator, then drag five numbers to the lines and place them in order from least to greatest.

Step 2: The answer in the middle is the median.

Let's practice median....Directions Step 1: Click on the number generator, then drag five numbers to the lines and place them in order from least to greatest.

Step 2: The answer in the middle is the median.

Mean, Median, Mode, Range

10

Let's practice mode....Directions Step 1: Click on the number generator, then drag eight numbers in any order to the lines.

Step 2: The number 25 occurs the most, therefore 25 is the mode.

30 25 292825 26 25 26

Let's practice mode....Directions Step 1: Click on the number generator, then drag eight numbers in any order to the lines.

Step 2: The number that occurs the most, is the mode.

Mean, Median, Mode, Range

11

Let's practice mode....Directions Step 1: Click on the number generator, then drag eight numbers in any order to the lines.

Step 2: The number that occurs the most, is the mode.

Let's practice mode....Directions Step 1: Click on the number generator, then drag eight numbers in any order to the lines.

Step 2: The number that occurs the most, is the mode.

Mean, Median, Mode, Range

12

Let's Review Mean, Median and Mode

Student Worksheets

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