Statisticshard · Past Paper
If the mean of observations $x_1, x_2, ... x_n$ is $\bar{x}$, then $\sum_{i=1}^n (x_i - \bar{x})$ is:
A$n\bar{x}$
B0
C1
D$\bar{x}$
✓ Correct Answer: B — 0
The sum of deviations about the mean is always zero by definition of the mean.
Share this question
More from Statistics
- If the median of a dataset is 20 and the mean is 22, what is the approximate mode using the empirical relationship?
- Find the mean of the first five prime numbers.
- If the probability of rain is 20%, what is the probability of no rain?
- In a well-shuffled deck of 52 cards, what is the probability of getting a queen of hearts?
- What is the probability of getting a prime number when a die is thrown?