STATISTICAL TECHNIQUES AND TOOLS
MEASURE OF STANDARD DEVIATION
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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When calculating the population standard deviation, the sum of the squared deviation is divided by N, then the square root of the result is taken. When calculating the sample standard deviation, the sum of the squared deviations is divided by n-1, then the square root of the result is taken.
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When calculating the population standard deviation, the sum of the squared deviation is divided by the number of entries, N-1, then the square root of the result is taken. When calculating the sample standard deviation, the sum of the squared deviations is divided by n, then the square root of the result is taken.
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Either A or B
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None of the above
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Detailed explanation-1: -When calculating the sample standard deviation, the sum of the squared deviations is divided by n-1, then the squareroot of the result is taken. When calculating the population standard deviation, the sum of the squared deviation is divided by the number of entries, N-1 then the squareroot of the result is taken.
Detailed explanation-2: -Variance is the average squared deviations from the mean, while standard deviation is the square root of this number. Both measures reflect variability in a distribution, but their units differ: Standard deviation is expressed in the same units as the original values (e.g., minutes or meters).
Detailed explanation-3: -To calculate the population standard deviation, we divide the sum by the number of data points (N). But to calculate the sample deviation, the total is divided by the number of data points minus 1 (N-1). Find the square root of the final figure to determine the standard deviation.