Final answer:
The variance of a random variable can be represented as the mean of the squared deviations from the mean.
Step-by-step explanation:
The variance of a random variable can also be represented as the mean of the squared deviations from the mean, or the square of the standard deviation. It measures how spread out the values of the random variable are from the mean. The formula for finding the variance of a discrete random variable X is:
variance (o²) = Σ (x - µ)² * P(x)
Here, x represents the values of the random variable, µ is the mean of X, and P(x) represents the corresponding probability. The symbol Σ represents the sum of all products (x - µ)² * P(x).