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Measures of Central TendencyA.notebook
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February 03, 2015
Home
Mean Median
Mode Range
Measures of Central TendencyA.notebook
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February 03, 2015
Mean
Mean (Average)
To find the mean, you _____ up all the numbers and then ______ by how many ______ you had.
Ex: Find the mean of the set of numbers.
14, 26, 39, 30
Measures of Central TendencyA.notebook
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Feb 131:56 PM
Find the mean of the following two sets of data: Set #1
16, 20, 18, 14, 17
Set #217, 31, 29, 42, 17, 36, 24
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February 03, 2015
Median
Median
To find the median, first write the numbers in _____ from ______ to ______. Then find the number in the _______.
Ex: Find the median of the set of numbers.44, 72, 56, 60, 24
Measures of Central TendencyA.notebook
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February 03, 2015
Feb 131:57 PM
Find the median of the following two sets of data:Set #116, 20, 18, 14, 17
Set # 237, 32, 41, 35, 53, 41, 51
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What if there are two middle numbers?
Set # 24, 9, 2, 6, 10, 15, 20, 18
Set # 117, 31, 29, 42, 17, 36, 24, 22,15, 20
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Mode
Mode
To find the mode, put the _______ in order from least to greatest. Then find the number or numbers that appear most _____.
Ex: Find the mode(s) of the set of numbers.
3536 3337 3434 34333334 311)
2) 54, 72, 33, 33, 31, 33
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You can also have no mode or more than one mode.
If no number occurs more often than any other number, there will be no mode.
If more than one number occurs the most, there can be more than one mode.
Example:4, 7, 2, 9, 5, 1, 0
Mode:
Example:11, 9, 3, 4, 2, 4, 9, 6, 7 Mode:
1) 8, 5, 9, 2, 3, 5, 2
2) 66, 37, 45, 21, 43, 85
Examples:
Measures of Central TendencyA.notebook
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February 03, 2015
Feb 132:01 PM
Find the mode of the following two sets of data: Set #1
16, 20, 18, 14, 17, 18
Set #217, 31, 29, 42, 17, 36, 42
Set #360, 13, 28, 45, 91
Measures of Central TendencyA.notebook
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February 03, 2015
Range
RangeTo find the range of a set of numbers, first put the numbers in order from least to greatest. Then ______ the _______ number from the ______ number. (Find the difference between these two numbers.)
Ex: Find the range of the set of numbers.32 4936 37 4151
Measures of Central TendencyA.notebook
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February 03, 2015
Feb 131:51 PM
Find the range of the following two sets of data:
Set #116, 20, 18, 14, 17
Set #217, 31, 29, 42, 17, 36, 24
Measures of Central TendencyA.notebook
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February 03, 2015
Feb 132:13 PM
Find the mean: 40 + 43(2) + 46 + 47(5) + 51 + 58(3) + 59 + 62 = 753/15 = 50.2
Find the median: 40, 41, 41, 46, 47, 47, 47, 47, 47, 51, 58, 58, 58, 59, 62 47
Find the mode: 47
Find the range: 6240 = 22
40, 43, 43, 46, 47, 47, 47, 47, 47, 51, 58, 58, 58, 59, 62
Note: 15 pieces of data
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Extra practice Find the mean, median, mode and range of the following sets of data:
Set #1: 20, 30, 40, 10, 20, 90, 70, 40
Mean = Mode = Median = Range =
Set #2: 157, 124, 142, 119, 100, 101, 97
Mean = Mode = Median = Range =
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Different circumstances determine which measure of central tendency is the most representative of a data set.
The mean is most useful when the data has no extreme data values.
The median is most useful when the data has a few extreme data values.
The mode is most useful when the data has many identical numbers.
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