p = 0.5, n = 100
Population Proportion (p): 0.5; Sample Size (n): 100
Standard Deviation of the Sampling Distribution (σ_p̂): 0.05; Mean of the Sampling Distribution (μ_p̂): 0.5
Sampling Distribution of the Sample Proportion Calculator
Statistics0.0(0)
Calculates the mean and standard deviation of the sampling distribution for sample proportions (p̂).
More tools:Math & Statistics Calculators
How To Use
How to use this calculator
Start with your values, or try a preset.
Step 1
Enter Population Proportion (p) and Sample Size (n) in the units shown.
Step 2
Read Standard Deviation of the Sampling Distribution (σ_p̂) and Mean of the Sampling Distribution (μ_p̂) in the results panel. Results update as you change the inputs.
Step 3
Choose a preset to load an example, then adjust the values for your situation.
Worked Examples
Example calculations
See the inputs and their calculated results.
p = 0.2, n = 50
Population Proportion (p): 0.2; Sample Size (n): 50
Standard Deviation of the Sampling Distribution (σ_p̂): 0.05656854249; Mean of the Sampling Distribution (μ_p̂): 0.2
p = 0.8, n = 200
Population Proportion (p): 0.8; Sample Size (n): 200
Standard Deviation of the Sampling Distribution (σ_p̂): 0.02828427125; Mean of the Sampling Distribution (μ_p̂): 0.8
Explore the topic
Explore More Math & Statistics Calculators
Use calculators for algebra, geometry, trigonometry, probability, statistics, averages, z-scores, tests, and graphing tasks.
People Also Calculate
Related Calculators
Continue with another tool on a related topic.
Statistics
T-Test Calculator
Performs a t-test (one-sample, two-sample, or paired) to compare means and determine statistical significance.
1,316 viewsOpen calculator
Statistics
Inverse Normal Distribution Calculator
Finds the Z-score corresponding to a given cumulative probability (percentile) on a normal distribution.
1,255 viewsOpen calculator
Statistics
Chi-Square Calculator
Calculates the Chi-Square statistic and p-value for goodness-of-fit or test of independence. It requires observed and expected frequencies or values.
1,185 viewsOpen calculator
Statistics
Outlier Calculator
Identifies potential outliers in a dataset using the IQR * 1.5 rule (calculating fences).
1,141 viewsOpen calculator