GRE (Graduate Record Examinations) Psychology Measurement and Methodology-Statistical Procedures Study Material (Page 12 of 25)

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Measures of Central Tendency: Harmonic and Geometric Mean

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Harmonic Mean

The harmonic mean is the reciprocal of the arithmetic mean of the reciprocals. For example, harmonic mean of 1,2, and 3 is . In general, . This measure is valid only for data measured absolutely on a strictly positive scale. It is used in problems where values of a variable are compared with constant quantity of another variable e. g. time, rate, distance etc.

Geometric Mean

It is the root of the product of items or values. If there…

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Measures of Variation or Dispersion: Range and Mean Deviation

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Dispersion measures the extent to which scores differ from one another and from mean of the distribution. It provides a measure of variability. Range, variance, and standard deviation are considered as major measures of variation.

When all observation sets are equal, dispersion is zero. In case of higher discrepancy, dispersion is more. Measures of dispersion numerically depict extent of variability…

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