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S3.3 - Measures of Central Tendency and Dispersion
Measures of Central Tendency and Dispersion from Grouped Data
6
Mathematics
Graduate
11/04/2013

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Term
Approximate population mean, mew =
Definition
Summation[(xi)(fi)]/summation(fi)
where xi = midpoint of the i-th class
fi = frequency of the i-th class
Term
Approximate sample mean, xbar =
Definition
Summation[(xi)(fi)]/summation(fi)
where xi = midpoint of the i-th class
fi = frequency of the i-th class
Term
Weighted mean
Definition
Computing the mean when certain data values have a higher importance or weight associated with them
Term
Weighted mean, xbarw =
Definition
Summation[(wi)(xi)]/summation(wi)
Term
Approximate population variance, sigma^2 =
Definition
Summation[(xi-mew)^2 x fi]/summation(fi)
where xi = midpoint of the i-th class
fi = frequency of the i-th class
Term
Approximate sample variance, s^2 =
Definition
Summation[(xi-xbar)^2 x fi]/summation(fi)-1
where xi = midpoint of the i-th class
fi = frequency of the i-th class
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