STATISTICAL TECHNIQUES AND TOOLS
MEASURES OF CENTER AND SPREAD
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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If 10 is added to every value in a set of data, what will happen to the value of the standard deviation?
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it will increase
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it will decrease
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it will stay the same
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it will both increase and decrease
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Explanation:
Detailed explanation-1: -Adding 10 will not change the no. of elements of the data.
Detailed explanation-2: -Adding 10: Mean, Median, and Mode would increase by 10. Range stays the same. Multiplying by 10: Mean, Median, Mode and Range would be 10 times bigger.
Detailed explanation-3: -(c) Adding a number to the set such that the number is further away from the mean, will increase the SD. This is because the average distance of the numbers from the mean increases.
Detailed explanation-4: -Adding a constant does not change the standard deviation.
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