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→Variation
measures.
measures.
The absolute and mean absolute deviation show the
The absolute and mean absolute deviation show the
amount of deviation (variation) that occurs around the mean score. To
amount of deviation (variation) that occurs around the mean score. To
depends on our choice of statistic, whether we use absolute
depends on our choice of statistic, whether we use absolute
deviation, variance or standard deviation.
deviation, variance or standard deviation.
=== Absolute Deviation and Mean Absolute Deviation ===
=== Absolute Deviation and Mean Absolute Deviation ===
Perhaps the simplest way of calculating the
Perhaps the simplest way of calculating the
whilst that scores below the mean will have negative deviations.
whilst that scores below the mean will have negative deviations.
To find out the total variability in our data set,
To find out the total variability in our data set,
we would perform this calculation for all of the 100 students'
we would perform this calculation for all of the 100 students'
below). Therefore, for our 100 students the mean absolute deviation
below). Therefore, for our 100 students the mean absolute deviation
is 12.81, as shown below:
is 12.81, as shown below:
=== Variance ===
=== Variance ===
Another method for calculating the deviation of a
Another method for calculating the deviation of a
shown below:
shown below:
As a measure of variability, the variance is
As a measure of variability, the variance is
useful. If the scores in our group of data are spread out then the
useful. If the scores in our group of data are spread out then the
statistical analyses, discussed in other statistical guides.
statistical analyses, discussed in other statistical guides.
== Coefficient of variation ===
Coefficient of variation is defined as
variation is defined as
[[File:KOER-%20Mathematics%20-%20Statistics_html_1afc44b3.png]]
[[File:KOER-%20Mathematics%20-%20Statistics_html_1afc44b3.png]]
where v is the standard
where v is the standard
* When the coefficient of variation is more, the given data is less consistent.
* When the coefficient of variation is more, the given data is less consistent.
* When the coefficient of variation is less, the given data is more consistent.
* When the coefficient of variation is less, the given data is more consistent.
== Self-Evaluation ==
== Self-Evaluation ==