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What is a Discrete Variable in Statistics?

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What is a Discrete Variable?

A variable is a quantity that has changing values. A discrete variable is a variable that can only take on a certain number of values. In other words, they don’t have an infinite number of values. If you can count a set of items, then it’s a discrete variable. The opposite of a discrete variable is a continuous variable. Continuous variables can take on an infinite number of possibilities.

What is a Discrete Variable? Examples

Some examples of discrete variables:

  • Number of quarters in a purse, jar, or bank. Discrete because there can only be a certain number of coins (1,2,3,4,5…). Coins don’t come in amounts of 2.3 coins or 10 1/2 coins, so it isn’t possible for there to be an infinite number of possibilities. In addition, a purse or even a bank is restricted by size so there can only be so many coins.
  • The number of cars in a parking lot. A parking lot can only hold a certain number of cars.
  • Points on a 10-point rating scale. If you’re graded on a 10-point scale, the only possible values are 1,2,3,4,5,6,7,8,9, and 10.
  • Ages on birthday cards. Birthday cards only come in years…they don’t come in fractions. So there are a finite amount of possibilities (presumably, about one hundred).

what is a discrete variable

What is a Discrete Variable? Discrete random variables

Discrete random variables are variables that are a result of a random event. For example, the roll of a die. Discrete random variables are represented by the letter X and have a probability distribution P(X). If you flipped a coin two times and counted the number of tails, that’s a discrete random variable. It’s represented by the letter X. X in this case can only take on one of three possible variables: 0, 1 or 2 [tails].

Next:
Discrete vs continuous variables.

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What is a Discrete Variable in Statistics? was last modified: October 24th, 2017 by Stephanie Glen

4 thoughts on “What is a Discrete Variable in Statistics?

  1. Vernon Dolphin

    iF WE HAVE A CRISSCROSS SET OF DISCRETE VARIABLES HOW DO WE ESTIMATE THE PROBABILITY OF ANY POINT AT WHICH TWO OR MORE VARIABLES CROSS. PERHAPS A SPIDER’S WEB IS AN EXAMPLE OF SUCH A SCENE AS TO ‘CATCHING’ A FLY NEARBY.

  2. Andale Post author

    You would count the crosses/crossroads. For example, if you had 100 crosses in a spiders web, the probability of a fly landing at that point (assuming they were all the same distance and assuming it actually lands on a point and not a line) would be 1/100.