RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

MEASURES OF VARIABILITY

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
What measure of variability is used when only the two extreme values are considered?
A
Range
B
Mean Deviation
C
Variance
D
Standard Deviation
Explanation: 

Detailed explanation-1: -Just like the range, the interquartile range uses only 2 values in its calculation. But the IQR is less affected by outliers: the 2 values come from the middle half of the data set, so they are unlikely to be extreme scores. The IQR gives a consistent measure of variability for skewed as well as normal distributions.

Detailed explanation-2: -Range is the most simple and commonly understandable measures of dispersion. Range is defined as the difference between the highest(or largest ) and lowest(or smallest) observed value in a series. Therefore, it is the most affected measures of dispersion by the extreme values of the series.

Detailed explanation-3: -The standard deviation and the range of data are two different measures of variability. The range is the study of the highest and the lowest values whereas the standard deviation is the study of how far away the different values of the data set are from the mean. These two can be used in the calculation of variability.

Detailed explanation-4: -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.

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