Measures of central tendency
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Measures of Central
Tendency
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A measure of central tendency is a univariate statistic that indicates, in one
manner or another,
• the average or typical observed value of a variable in a data set, or
• put otherwise, the center of the frequency distribution of the data.
Measures of Central Tendency
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Mean
Mean is the average of a set of data. To calculate the mean, find the sum of
the data and then divide by the number of data.
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What is the MEAN?How do we find it?
•The mean is the numerical average of the data set.
•The mean is found by adding all the values in the set, then dividing the sum by the number of values.
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Lets find Abby’s MEAN science test
score?
9784
73
88100
63
97
95
86+
783
783 ÷ 9
The mean is 87
Add all the values.
Divide the sum by the number of values.
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Median
Median is the middle number in a set of data
when the data is arranged in numerical
order.
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How to find the MEDIAN when two numbers are in
the middle?
1. Add the two numbers.
2. Then divide by 2.
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978473 88 10063 979586
The median is 88.
Half the numbers are
less than the median. Half the numbers are
greater than the median.
Arrange values from least to greatest.
Find the number that is in the middle.
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Mode
The mode is the number that occurs the
most.
A Hint for remembering the MODE…
The first two letters give you a hint… MOde
Most Often
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What is the MODE?How do we find it?
The MODE is the piece of data that occurs most frequently in the data set.
A set of data can have: One mode More than one mode No mode
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978473 88 10063 979586
The value 97 appears twice.All other numbers appear just once.
97 is the MODE
Arrange the values from least to greatest.
Find the number that appears most or more frequently.
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Mean The average
MedianThe number or average of the numbers in the middle
Mode The number that occurs most
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What is the RANGE?How do we find it?
The RANGE is the difference between
the lowest and highest values.
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978473 8863 979586
97-6334
34 is the RANGE or spread
of this set of data
Arranging values from least to greatestmakes it easier to find the RANGE.
Subtract the lowest value from the highest.
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Project in Basic Statistics
Submitted by: Kenneth M. Osabal
II-Euclid