PRC-2 · Chapter 8 · Question 6 of 60
What is the mathematical sum of the deviations of all individual observations from their arithmetic mean?
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: C) Exactly zero
Explanation
A fundamental property of the arithmetic mean is that the sum of the differences (deviations) between each data point and the mean is always precisely zero.
More Statistical Measures of Data MCQs
- Q8Which of the following values is perfectly equivalent to the Second Quartile (Q2) of a dataset?
- Q9How is the Interquartile Range (IQR) formally calculated?
- Q10A dataset contains the values 10, 10, 10, 10, and 10. What is the standard deviation of this set?
- Q11Which of the following statements regarding the statistical measure of 'variance' is universally true?
- Q12If you multiply every observation in a dataset by a constant 'k', what will happen to the new standard deviation?