For discrete distributions, suppose the variable X takes the specific value x with probability P(X=x)
Then add together x * P(X = x) for all possible values of x.
For continuous distributions, suppose the probability distribution function of the variable X is f(x).
Then the mean is the integral of x*f(x) with respect to x, taken over all possible values of x.
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It is equal to zero in ALL distributions.
Frequency and cumulative frequency are two types of frequency distributions. These are frequency tables that show statistical data for different types of frequencies that include absolute, relative, and cumulative frequencies. There are mathematical formulas used to calculate these frequencies.
Organizing the data into a frequency distribution can make patterns within the data more evident.