METHODS OF DATA ANALYSIS
MEASURES OF DISPERSION
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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true
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false
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Either A or B
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None of the above
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Detailed explanation-1: -Chebyshev’s Theorem states that the proportion of values is at least 1-1/k2. What is the meaning of k? k is the number of standard deviations, greater than 1, within which that proportion of observations will be found.
Detailed explanation-2: -Chebyshev’s inequality says that at least 1-1/K2 of data from a sample must fall within K standard deviations from the mean (here K is any positive real number greater than one). Any data set that is normally distributed, or in the shape of a bell curve, has several features.
Detailed explanation-3: -Chebyshev’s Theorem: (1−1k2)×100 ( 1 − 1 k 2 ) × 100, where k equals the number of standard deviations; k must be >1. So, the minimum proportion of observations falling within 3 standard deviations is 88.9%.