Measures of Central Tendency in Maths.

1. Measures of Central
Tendency
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2. Measures of Central Tendency
 Mean
 Median
 Mode
 Range
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3. Mean:
 The mean is the mathematical average of a set of
numbers.
 The mean is commonly referred to as the “average.”
 The mean is quick and easy to calculate.
 The mean is used in a variety of ways and in almost
every industry.
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4. Calculate the Mean
 What is the average
age of our class?
 Ages: 11, 11, 13, 12,
12, 13, 12, 12, 12
 Mean = sum of
ages/number of
students
 Average age = 12
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5. Mean
 A real world example
of the Mean is Par.
 Par is the average
expected score in
Golf.
 If a hole is a Par 4,
then the average
expected score is 4
strokes.
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6. Mean
 Companies use the
mean age of their
consumers to
develop their
advertising.
 Can you think of a
commercial that was
targeted towards
you?
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7. Mean
 Can you think of
another example of
how the Mean
relates to the real
world?
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8. Median
 The median is the
middle value of a set
of data.
 Memorizing Tip:
remember that the
median is in the
middle of the road.
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9. Median
 The median is used in
a variety of statistics.
 For example the
median income in
Alabama is $38,111
(U.S. Census Bureau).
 The median age in
Montgomery, AL is
33.7 years old (U.S.
Census Bureau).
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10. Median
 Find the median for the set of data.
 Data set: 2, 5, 6, 7, 1, 3, 0, 8, 4
 Place in order from least to greatest and find the
middle number.
 0, 1, 2, 3, 4, 5, 6, 7, 8
 The median is equal to 4!
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11. Mode
 The mode is the
most frequently
observed value in a
data set.
 The most frequently
printed words in
English are: the, of,
and, a , and to
(www.duboislc.org).
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12. Mode
 The most popular
baby names in 2006
were Jacob, Emily,
Michael, Emma,
Joshua and Madison
(Social Security
Administration).
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13. Mode
 Find the mode for this set of data.
 Data set: 2, 4, 3, 4, 3, 4, 4, 5, 4, 5, 5
 The mode is 4, because it occurs the most times.
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14. Range
 The range is the difference between the largest and
smallest values.
 Range of age: Oldest – Youngest.
 Range of height: Tallest – Shortest.
 Range of speed: Fastest – Slowest.
 Can you think of a use for the range?
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15. Range
 Those below the age
of 5, or older than
50 should get
vaccinated for the
flu (www.cdc.gov).
 What is the range of
age for those who
don’t need to be
vaccinated?
 50-5=45
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16. Thank you for visit
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