Knowee
Questions
Features
Study Tools

The sum of deviations from the _________ is always zero.*1 pointModeMedianNone of the aboveMean

Question

The sum of deviations from the _________ is always zero.

1 point

  • Mode
  • Median
  • None of the above
  • Mean
🧐 Not the exact question you are looking for?Go ask a question

Solution

The statement you provided refers to a statistical property of the mean. Specifically, the sum of the deviations of a set of data points from the mean is always zero. This occurs because the mean is the balance point of the data set; thus, the positive deviations (values above the mean) and the negative deviations (values below the mean) cancel each other out.

  1. Concept Explanation: The mean is calculated by summing all data points and dividing by the number of points. When you take each data point and subtract the mean, the total of these deviations sums to zero.

  2. Example Illustration: For instance, if you have a data set of [1,2,3,4,5][1, 2, 3, 4, 5], the mean is 33. The deviations are [2,1,0,1,2][-2, -1, 0, 1, 2]. The sum of these deviations is 21+0+1+2=0-2 - 1 + 0 + 1 + 2 = 0.

In conclusion, the correct answer to fill in the blank is Mean. This is a fundamental property of the arithmetic mean in statistics.

This problem has been solved

Similar Questions

The sum of deviations taken from mean is(1 Point)Always equal to zero Sometimes equal to zeroNever equal to zeroLess than zero

The sum of deviations from the _________ is always zero.*1 pointModeMedianNone of the aboveMean

The sum of all deviations from the mean in a dataset is always:a.Zerob.Positivec.Negatived.Undetermined

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

Question 5A Type II error is a false 1 pointnegative.positive.attribution. assumption.

1/1

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.