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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increase
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decrease
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stay the same
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both increase and decrease
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Detailed explanation-1: -(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-2: -The standard deviation of a set measures the distance between the average term in the set and the mean. So, if the numbers get closer to the mean, the standard deviation gets smaller. If the numbers get bigger, the reverse happens.
Detailed explanation-3: -The standard deviation is calculated as the square root of variance by determining each data point’s deviation relative to the mean. If the data points are further from the mean, there is a higher deviation within the data set; thus, the more spread out the data, the higher the standard deviation.
Detailed explanation-4: -The further the data points are from the mean, the greater the standard deviation.