L3 Measures of Dispersion - STATISTICS Dispersion...

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STATISTICS Dispersion
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Dispersion There are 5 main measures of dispersion Range Variance Standard Deviation Inter Quartile Range Mean Inter Quartile Range We will only consider the first three for this course.
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Dispersion Range This is a very simple measure of the spread of the data, based on the original list. It does not give a lot of information, but is very simple to calculate. It is easily distorted by rogue values. This is calculated by taking the highest value and subtracting the lowest value. This is the same method for lists, frequency distributions and grouped data. 1 , 3, 4, 2, 5, 4, 6, 7, 4, 8, 9, 5, 12 , 3, 5, 6, 4, 8 Range = 12 – 1 = 11
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Dispersion Variance This is based on the spread about the mean average. It gives more information than the range, but is more complicated to calculate. It is less affected by rogue values.
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Dispersion Variance using a list of values x x 10 5 50 N x x Firstly find the mean value 10 14 8 6 12 50
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Dispersion Variance using a list of values x x x x Using the mean value calculate the difference between the value and the mean. Some values will be negative.
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