Exordinary the connection between variance and also conventional deviation. Can either of these measures be negative? Exordinary.
You are watching: The standard deviation of a data set can never be negative.
The traditional deviation is found by taking the positive square root of the variance. Thus, the typical deviation and variance have the right to never be negative. Squared deviations can never be negative.
Describe the distinction between the calculation of population conventional deviation and that of sample standard deviation.
When calculating the population standard deviation, the sum of the squared deviation is split by N, then the square root of the result is taken. When calculating the sample standard deviation, the sum of the squared deviations is split by n−1, then the square root of the result is taken.
See more: How Do U Spell 12 In Words, How To Spell Number 12 In English Words
Keep in mind that sigmaσ represents the population typical deviation and s represents the sample conventional deviation. One would need to use the provided indevelopment very closely to decide whether the data represents the populace or it is a sample taken from the population.
Statistical Techniques in Company and Economics15th EditionDouglas A. Lind, Samuel A. Wathen, William G. Marchal
Mathematical Statistics through Applications7th EditionDennis Wackerly, Ricdifficult L. Scheaffer, William Mendenhall