PRC-2 · Chapter 8 · Question 24 of 60
What is the true mathematical relationship between the variance and the standard deviation?
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: B) Standard deviation is the square root of the variance.
Explanation
The variance can never be smaller than the standard deviation (except when the value is a fraction between 0 and 1), because the standard deviation is defined as the mathematical square root of the variance.
More Statistical Measures of Data MCQs
- Q26If the variance of a dataset is mathematically calculated to be exactly zero, what does this imply about the dataset?
- Q27If you multiply each observation of variable X by 100, what will happen to a correlation coefficient of 0.9?
- Q28If a data set has extreme outlier values exclusively on the higher end, how will this affect the arithmetic mean compared to the median?
- Q29Which specific statistical value is mathematically defined as the most frequently repeated observation in a given dataset?
- Q30If you subtract 3 from each observation of variable X and add 5 to each observation of variable Y, what will happen to a correlation…