Hayley Edstrom - Mr. Props' Blog



MEAN, MEDIAN AND MODE

Name: Hayley Edstrom

EDSE 437 & 438

Grade: Seven

Strand: Statistics and Probabilities (Data Analysis)

General Outcome: Collect, display and analyze data to solve problems.

Specific Outcome: Demonstrate an understanding of central tendency and range by:

~determining the measures of central tendency (mean, median,

mode) and range.

Specific Achievement Indicator: Determine mean, median and mode for a given set of

data, and explain why these values may be the same or different.

Preassessment: Student have not seen these terms or concepts before. This is their

introduction to these terms.

Looking at mean, median and mode.

How to help students remember what these terms mean and what there are supposed to do to get a solution to such questions as:

What is the mean of this number set?

What is the median of this data set?

What is the mode of this group of numbers?

Are the mean, medians, and modes the same or different? Why?

For the purpose of this ten-minute lesson we will assume we have already reviewed the definitions and are now trying to establish a way for students to remember and connect with the terms.

The following notes are for reference and are not to be directly reviewed with the students. The main purpose of this activity is to assist students to remember what mean, median and mode is and how to find them.

Mean: the average

Add all the pieces (numbers) together then divide by the number of pieces.

Ex: 1,3,4,4,6

1+3+4+4+6= 18 18/5 = 3.6

Ex: 100, 99, 98, 2, 1, 1,

100+99+98+2+1+1= 301 301/6 = 50.17(rounded to two decimal places)

Median: in a set of numbers arranged in order (highest to lowest or lowest to highest) the

middle number,

In an odd set of numbers it is the number in the very middle. In an even set of

number the two middle terms are averaged: they are added together and then

divided by two (since there is two pieces)

Ex: 1,3,4,4,6,7,8 100,99,98,2,1,1

1 3 4 4 6 7 8 1 1 2 98 99 100 average the two inside terms

2+98=100 100/2= 50

Mode: the most common

Whichever number appears most often is the mode. The mode can be more than

one number. There can also be no mode if there is only one of each number

Ex: 1,3,4,4,6,7,8 there are two four’s and only one of each of the other number

thus four is the mode

Ex: 1, 2, 3, 4, 5 there is no mode since there is only one of each

Ex: 1, 2, 2, 3, 4, 5, 5, 6, 7 the mode is 2 and 5

There are several different ways that students could remember what the words mean for example: Mean and average both have an a and an e, Median and middle have d’s in them, and mode and most common have o’s. Ask for other possible ways to remember it. There is also a video on called Mean, Median and Mode Math Learning Upgrade by LearningUpgrade that the students could be referred to.

Activity: Depending on the size of the class will depend on the groupings. However try and vary the groups between odd and even numbers to allow for a variety of answers and processes to find the mean, median, and mode of a data set.

If it is a small class of say no more than 10 (rare but possible) use that as an entire group. Groups should not exceed six and no smaller than three or four depending on the number of students available. Within their groups ask students to put together a number set using the months they were born (1-12). Ask students to then find the mean, median and mode for that number set. After giving students time to do this task, ask each group to provide their answers on the board. Review with the whole class all of the answers to determine if they are correct.

If there is time use the answers from the groups to create a new number set and repeat the process to find a new mean, median and mode.

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