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| measures. | | measures. |
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| 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 |
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| 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. |
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| === Absolute Deviation and Mean Absolute Deviation === | | === Absolute Deviation and Mean Absolute Deviation === |
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| Perhaps the simplest way of calculating the | | Perhaps the simplest way of calculating the |
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| whilst that scores below the mean will have negative deviations. | | whilst that scores below the mean will have negative deviations. |
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| 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' |
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| 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: |
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| === Variance === | | === Variance === |
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| Another method for calculating the deviation of a | | Another method for calculating the deviation of a |
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| shown below: | | shown below: |
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| 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 |
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| statistical analyses, discussed in other statistical guides. | | statistical analyses, discussed in other statistical guides. |
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| + | == Coefficient of variation === |
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− | | + | Coefficient of variation is defined as |
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− | === Coefficient of variation ===
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− | Coefficient of
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− | variation is defined as | |
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| [[File:KOER-%20Mathematics%20-%20Statistics_html_1afc44b3.png]] | | [[File:KOER-%20Mathematics%20-%20Statistics_html_1afc44b3.png]] |
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| where v is the standard | | where v is the standard |
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| * 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. |
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| == Self-Evaluation == | | == Self-Evaluation == |
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