Measures of
Central Tendency
Objectives:
- Calculate
the mean of a set of data.
- Calculate
the median of a set of data.
- Calculate
the mode of a set of data.
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Vocabulary:
- central
tendency
- summation
notation
- mean
- median
- mode
- outlier
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Formulas:
- mean:
- mean of grouped data:
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Possible
Classroom Examples:
- Fran
Tarkenton holds the all-time record in professional football for
throwing touchdown passes. The number of touchdown passes (TDs) for
each of his seasons is given in the table. Find the mean, median, and
mode of the number of touchdown passes per year thrown by Tarkenton.
Year |
TDs |
|
Year |
TDs |
1961 |
18
|
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1970
|
19
|
1962 |
22
|
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1971
|
11
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1963
|
15
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1972
|
18
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1964
|
22
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1973
|
15
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1965
|
19
|
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1974
|
17
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1966
|
17
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1975
|
25
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1967
|
29
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1976
|
17
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1968
|
21
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1977
|
9
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1969
|
23
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1978
|
25
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Todd Booth, an
avid jogger, kept detailed records of the number of miles he ran per
week during the past year. The frequency distribution summarizes his
records. Find the mean, median, and mode of the number of miles per
week that Todd ran.
Miles run per
week
|
Number of
weeks
|
0
|
5
|
1
|
4
|
2
|
10
|
3
|
9
|
4
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10
|
5
|
7
|
6
|
3
|
7
|
4
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If your scores
on the first four exams in a class are 73, 67, 83, and 81, what score
do you need on the next exam for your overall mean to be at least 70.
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The mean salary
of ten employees is $28,000, and the median is $25,000. The highest
paid employee gets a $5,000 raise.