Mean, median, mode and range power point
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Transcript of Mean, median, mode and range power point
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Median, Range, Mode Median, Range, Mode and Meanand Mean
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•MEDIAN is the middle •RANGE is the difference from end to end
•MODE is the most… often that isAND
•MEAN is the adding and dividing machine
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Copyright © 2000 by Monica Yuskaitis
Definition•MedianMedian – the middle number in a set of ordered numbers.
1, 3, 7, 10, 13Median = 7Median = 7
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To find the Median in a group of numbers.
• Step 1: Arrange the numbers in order from least to greatest.
• Step 2: Find the middle number.
• Step 3: If there are two middle numbers, then find the mean (average) of the two numbers.
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Copyright © 2000 by Monica Yuskaitis
How to Find the Median in a Group of Numbers
•Step 1 – Arrange the numbers in order from least to greatest.
21, 18, 24, 19, 27
18, 19, 21, 24, 27
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Copyright © 2000 by Monica Yuskaitis
How to Find the Median in a Group of Numbers
•Step 2 – Find the middle number.
21, 18, 24, 19, 27
18, 19, 21, 24, 27
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Copyright © 2000 by Monica Yuskaitis
How to Find the Median in a Group of Numbers
•Step 2 – Find the middle number.
18, 19, 21, 24, 27
This is your median number.
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Copyright © 2000 by Monica Yuskaitis
How to Find the Median in a Group of Numbers
•Step 3 – no step 3 because there is only one middle number.
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Copyright © 2000 by Monica Yuskaitis
What is the median of these numbers?
16, 10, 7
10
7, 10, 16
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Copyright © 2000 by Monica Yuskaitis
What is the median of these numbers?
29, 8, 4, 11, 19
114, 8, 11, 19, 29
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Copyright © 2000 by Monica Yuskaitis
What is the median of these numbers?
31, 7, 2, 12, 14, 19
132, 7, 12, 14, 19, 31
12 + 14 = 26 2) 26
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Copyright © 2000 by Monica Yuskaitis
What is the median of these numbers?
53, 5, 81, 67, 25, 78
6053 + 67 = 120 2) 120
5, 25, 53, 67, 78, 81
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Copyright © 2000 by Monica Yuskaitis
Definition•RangeRange – the difference between the smallest and the largest numbers in a set of numbers.
1, 1, 3, 7, 10, 13Range = 12Range = 12
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To find the Range in a group of numbers
• Step 1: arrange the numbers in order from least to greatest.
• Step 2: find the lowest and highest numbers.
• Step 3: Find the difference between the two numbers.
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Copyright © 2000 by Monica Yuskaitis
How to Find the Range in a Group of Numbers
•Step 1 – Arrange the numbers in order from least to greatest.
21, 18, 24, 19, 27
18, 19, 21, 24, 27
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Copyright © 2000 by Monica Yuskaitis
How to Find the Range in a Group of Numbers
•Step 2 – Find the lowest and highest numbers.
21, 18, 24, 19, 27
18, 19, 21, 24, 27
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Copyright © 2000 by Monica Yuskaitis
How to Find the Range in a Group of Numbers
•Step 3 – Find the difference between these 2 numbers.
18, 19, 21, 24, 27
27 – 18 = 9The range is 9
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Copyright © 2000 by Monica Yuskaitis
What is the range?
29, 8, 4, 8, 19
29 – 4 = 25
4, 8, 8, 19, 29
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Copyright © 2000 by Monica Yuskaitis
What is the range?
22, 21, 27, 31, 21, 32
32 – 21 = 11
21, 21, 22, 27, 31, 32
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Copyright © 2000 by Monica Yuskaitis
What is the range?
31, 8, 3, 11, 19
31 – 3 = 28
3, 8, 11, 19, 31
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Copyright © 2000 by Monica Yuskaitis
What is the range?
23, 7, 9, 41, 19
41 – 7 = 34
7, 9, 23, 19, 41
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Copyright © 2000 by Monica Yuskaitis
Definition•ModeMode – the number that appears the most in a set of numbers.
1, 1, 3, 7, 10, 13Mode = 1Mode = 1
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How to find the Mode in a group of numbers.
• Step 1: Arrange the numbers in order from least to greatest.
• Step 2: Find the number that is repeated the most. If there isn’t one then there is no mode.
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Copyright © 2000 by Monica Yuskaitis
How to Find the Mode in a Group of Numbers
•Step 1 – Arrange the numbers in order from least to greatest.
21, 18, 24, 19, 18
18, 18, 19, 21, 24
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Copyright © 2000 by Monica Yuskaitis
How to Find the Mode in a Group of Numbers
•Step 2 – Find the number that is repeated the most.
21, 18, 24, 19, 18
18, 18, 19, 21, 24
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Copyright © 2000 by Monica Yuskaitis
Which number is the mode?
29, 8, 4, 8, 19
84, 8, 8, 19, 29
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Copyright © 2000 by Monica Yuskaitis
Which number is the mode?
1, 2, 2, 9, 9, 4, 9, 10
9
1, 2, 2, 4, 9, 9, 9, 10
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Copyright © 2000 by Monica Yuskaitis
Which number is the mode?
22, 21, 27, 31, 21, 32
21
21, 21, 22, 27, 31, 32
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Copyright © 2000 by Monica Yuskaitis
Definition
•MeanMean – the average of a group of numbers.
2, 5, 2, 1, 5Mean = 3Mean = 3
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To find the Mean (average) of a group of numbers.
• Step 1: Add all of the numbers together.
• Step 2: Divide the sum of the numbers by how many numbers there are.
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Copyright © 2000 by Monica Yuskaitis
How to Find the Mean of a Group of Numbers
•Step 1 – Add all the numbers.
8, 10, 12, 18, 22, 26
8+10+12+18+22+26 = 96
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Copyright © 2000 by Monica Yuskaitis
How to Find the Mean of a Group of Numbers
•Step 2 – Divide the sum by the number of addends.
8, 10, 12, 18, 22, 26
8+10+12+18+22+26 = 96 How many addends are there?
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Copyright © 2000 by Monica Yuskaitis
How to Find the Mean of a Group of Numbers
•Step 2 – Divide the sum by the number of addends.
6)96 sum# of addends1
636
6
63
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Copyright © 2000 by Monica Yuskaitis
How to Find the Mean of a Group of Numbers
The mean or average of these numbers is 16.
8, 10, 12, 18, 22, 26
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Copyright © 2000 by Monica Yuskaitis
What is the mean of these numbers?
7, 10, 16
11
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Copyright © 2000 by Monica Yuskaitis
What is the mean of these numbers?
2, 9, 14, 27
13
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Copyright © 2000 by Monica Yuskaitis
What is the mean of these numbers?
1, 2, 7, 11, 19
8
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Copyright © 2000 by Monica Yuskaitis
What is the mean of these numbers?
26, 33, 41, 52
38