The sum of all deviations from the mean in a dataset is always:a.Zerob.Positivec.Negatived.Undetermined
Question
The sum of all deviations from the mean in a dataset is always:a.Zerob.Positivec.Negatived.Undetermined
Solution
The sum of all deviations from the mean in a dataset is always zero.
Here's why:
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The mean is calculated by adding all the numbers in the dataset and then dividing by the number of items in the dataset.
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A deviation is calculated by subtracting the mean from each number in the dataset.
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If you add up all these deviations, the positive and negative deviations will cancel each other out, resulting in a sum of zero.
So, the answer is a. Zero.
Similar Questions
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Sum of ---- is always zero.a.Residuals, and Deviations taken from the arithmetic meanb.Deviations taken from the arithmetic meanc.Residualsd.None of the Above
If the standard deviation of a set of observations is 0, you can conclude:
Q 62. The mean of a data set is 25, and the sum of the deviations from the mean is 0. What is the number of observations in the data set? Ops: A 5 B. Cannot be determined C8 D. 6
If a data set has a standard deviation of 0, what can you conclude about the data?
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