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This is a powerpoint intended to help 5th grade students understand how to find the mean of a set of data
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Finding The
Mean
BEGIN………Mrs. LeCrone
Rm 205 All clip art courtesy of Microsoft Clip Art Gallery
Click on a pencil to explore an activity,
MEAND
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Exam
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Acti
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• The mean is the arithmetic average of a set of values (http://en.wikipedia.org/wiki/Mean)
Mean
Continue To ExampleBack to beginning
• You can find the mean of a set of data by finding the sum of the numbers you have and dividing by the amount of numbers you have.
Set of numbers: 5, 7, 7, 10, 12, 14, 155+7+7+10+12+14+15= 70
70/7=10 Mean=10
Mean
7 numbers
Back to beginning Continue to Activity
Mean ActivityMary wants to know how high she can jump. She realizes that she can’t rely on just one jump so she decides to record how high she jumps each of 15 times. The following is a graph she made to record her data:
67
66
65
64
63
62
61
60
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
What is the first step in calculating Mary’s MEAN Jumping height?
Find the height she jumped most often
Add up all of the heights she jumped
Put her jump heights in an ordered list
67
66
65
64
63
62
61
60
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
63 + 65 + 64 + 66 + 62 + 63 + 64 + 62 + 65 + 67 + 63 + 65 + 62 + 66 + 64
What is the sum of Mary’s jumping heights?
961 inches 820 inches 1052 inches
Correct!
Now that we know the sum is………
What do you do next?
961 inches
Multiply by the number of jumps
Subtract the sum from the highest Jump
Divide the sum by the number of jumps
Correct!
Now we need to divide the sum of all of Mary’s jumps by the number of jumps she attempted.
What will this problem look like?
961 ÷ 15 = 15 ÷ 961 = 961 – 15 =
Correct!
Now that we know that961 ÷ 15 = 64.06
we can make some conclusions about Mary’s jumping height.
Use activity to write three OBSERVATIONS you can make about Mary’s Jumping height.
Nice Job
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