Enter the number of total successes and the total size of the population into the calculator to determine the population proportion.

Population Proportion Formula

The following is the population proportion:

P = X / N *100

  • Where P is the population proportion (%)
  • X is the number of success
  • N is the size of the population

Population Proportion Definition

A population proportion is defined as a parameter describing the ratio or percentage of a population that has a certain association. For example, the percentage of people that are male, have brown hair, etc.

Can a population proportion be negative?

A population proportion cannot be negative because the values that make up the ratio, which is a number of successes and population size, cannot be less than 0.

Is population proportion the same as standard deviation?

A population proportion is not the same as a standard deviation. A population proportion describes the percentage of a total population that has a value, while a standard deviation describes the variance from the mean of a set of data.

What does a population proportion represent?

A population proportion represents the ratio of the number of people or things in a greater population or set of data that have a certain characteristic. This ratio can often be presented as a percentage for simplicity.

When to use population mean vs population proportion?

You should use population mean when analyzing a characteristic of a population that each person or data point has a varying amount of that characteristic. You should use a population proportion when that characteristic is being measured in a yes or no situation, such as if a person has or doesn’t have brown hair.

How to calculate a population proportion?

  1. First, determine the characteristic or parameter to be analyzed. For example, this could be the number of people that own a car in a certain population.
  2. Next, measure the total number of people that have that characteristic. For this example, we will say that 500 people have a car.
  3. Next, determine the total population. We will say that there are 1,000 people in the population.
  4. Finally, calculate the population proportion using the formula: P = 500/1000 = .50 = 50%.
population proportion calculator
population proportion formula