STATISTICAL TECHNIQUES AND TOOLS
MEASURES OF VARIABILITY
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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All of the data sets below have the same mean.Set 1:SD=3.1Set 2:SD=4.9Set 3:SD=1.7Set 4:SD=3.2Which set of data probably has the points CLOSEST to the mean?
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Set 1
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Set 2
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Set 3
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Set 4
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Explanation:
Detailed explanation-1: -Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out. A standard deviation close to zero indicates that data points are close to the mean, whereas a high or low standard deviation indicates data points are respectively above or below the mean.
Detailed explanation-2: -The standard deviation formula may look confusing, but it will make sense after we break it down. Step 1: Find the mean. Step 2: For each data point, find the square of its distance to the mean. Step 3: Sum the values from Step 2. Step 4: Divide by the number of data points. Step 5: Take the square root.
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