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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if each number in a set of data is added or substracted with a constant, the range, interquartile range, variance and standard deviation also will change.
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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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Explanation:
Detailed explanation-1: -As a general rule, the median, mean, and quartiles will be changed by adding a constant to each value. However, the range, interquartile range, standard deviation and variance will remain the same.
Detailed explanation-2: -In other words, adding a constant a to a random variable does not change its variance, and multiplying a random variable by a constant b causes the variance to be multiplied by b2.
Detailed explanation-3: -If we add a constant to all the data, the standard deviation doesn’t change. If all the data is multiplied by a constant, the standard deviation remains multiplied by the constant.
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