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: -Answer. Answer: FALSE. Two data sets can have the same mean but different standard deviations.
Detailed explanation-2: -Answer and Explanation: Yes, two sets of data can have the same mean but not the same variance. It implies that the center value of the two sets is the same, but the spread or the dispersion of the data values around that center value is different.
Detailed explanation-3: -1. “it’s clear that a normal with mean and SD equal must have both positive and negative values, as a large fraction of data must be below mean SD, which equals zero.
Detailed explanation-4: -1) a) The distance from the smallest to largest data in both sets will be the same. Reason If two data sets are of the same range, then it is not possible that it will have the same mean, and also the smallest data are the same in both sets.