RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

MEASURES OF VARIABILITY

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
When you compute for the measure of variability of a set of scores and it turn out to be zero, which of these could be said of the scores?
A
All scores are identical.
B
The mean of the scores is zero.
C
The measure of variability cannot be computed.
D
Half of the scores are additive inverse of the remaining half.
Explanation: 

Detailed explanation-1: -MathStatisticsWhen you compute for the measure of variability of a set of scores and it turns out to be zero, which of these could be said of the scores? A. All scores are identical.

Detailed explanation-2: -The standard deviation is the average amount by which scores differ from the mean. The standard deviation is the square root of the variance, and it is a useful measure of variability when the distribution is normal or approximately normal (see below on the normality of distributions).

Detailed explanation-3: -Standard deviation (SD) is the most commonly used measure of dispersion. It is a measure of spread of data about the mean. SD is the square root of sum of squared deviation from the mean divided by the number of observations. This formula is a definitional one and for calculations, an easier formula is used.

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