Question

Explain the meaning of the following terms: variate

Answer 1

Hint: A variate is variable that can take the values of a specified set. So, we can define a variable first. Then we can explain a variate using the definition of variable.

Complete step-by-step answer:
A variable is an alphabet or symbol which is used to represent a quantity in a mathematical expression. Usually we denote a variable using the small letters x or y. A variable can take any value or the values in an interval if the interval is specified. Variables have various applications from forming equations to doing integration, differentiation and other methods of calculus.
A variate is a variable that may take any of the values of a specified set with a relative frequency or probability. It is usually represented by a capital letter, commonly X. A variate is often referred to as a random variable. Random variable is the set of all the possible values in a statistical random experiment.

Note: A variate and random variable are not the same. A variate is a more general concept of random variable. A variate is related to relative frequency or probability.