measures of central tendancy lesson 6.05 vocabulary review sum – the answer to an addition...
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Measures of Central TendancyLesson 6.05
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Vocabulary Review
• Sum – the answer to an addition problem.
• Addend – the numbers you added together to get the sum.
6 + 9 = 15
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Definition
MeanMeans
Average
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Definition
• Mean – the average of a group of numbers.
2, 5, 2, 1, 5Mean = 3
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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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• 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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• Step 2 – Divide the sum by the number of addends.
6)96 sum# of addends1
636
6
63
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The mean or average of these numbers is 16.
8, 10, 12, 18, 22, 26
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Definition
Medianis in theMiddle
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Definition
• Median – the middle number in a set of ordered numbers.
1, 3, 7, 10, 13Median = 7
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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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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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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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How to Find the Median in a Group of Numbers
• Step 3 – If there are two middle numbers, find the mean of these two numbers.
18, 19, 21, 25, 27, 28
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How to Find the Median in a Group of Numbers
• Step 3 – If there are two middle numbers, find the mean of these two numbers.
21+ 25 = 46
2) 46 23 median
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What is the median of these numbers?
29, 8, 4, 11, 19
114, 8, 11, 19, 29
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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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Definition
Modeis the most
Popular
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Definition• Mode – the number that
appears most frequently in a set of numbers.
1, 1, 3, 7, 10, 13Mode = 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.
21, 18, 24, 19, 18
18, 18, 19, 21, 24
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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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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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Definition
Rangeis the distance
Between
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Definition• Range – the difference between
the greatest and the least value in a set of numbers.
1, 1, 3, 7, 10, 13Range = 12
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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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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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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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What is the range?
23, 7, 9, 41, 19
41 – 7 = 34
7, 9, 23, 19, 41