Sampling Distribution of the Sample Mean
Continuous Population Distribution
Select Population Distribution:
Real Population Data
Uniform
Skewed
Bell-Shaped
Bimodal
Build Your Own
Select Skewness:
Enter population mean and st. dev.
Pop. Mean μ:
Pop. Std. Dev. σ:
Choose different range
Lower Bound:
Upper Bound:
Select Shape:
Shape 1
Shape 2
Shape 3
Pop. Mean μ:
Pop. Std. Dev. σ:
Pop. Mean μ:
Pop. Std. Dev. σ:
Enter values for μ and σ
Enter (or copy and paste) values, seperated by spaces, to build your own smooth population distribution:
3 4 5 5 5 6 6 7 9
Select Example:
College Debt
College Cost
College Earnings
Height of Soccer Players
Age of Soccer Players
New York Airbnb Prices
Distances of NYC Taxi Rides
World Life Expectancy
World Life Expectancy (Females)
World Life Expectancy (Males)
Delay of Flights Leaving from ATL
Delay of Flights Arriving at ATL
Population Values:
Enter Numerical Value for n
Select how many samples (of size 50) you want to simulate drawing from the population:
1
100
1,000
10,000
Draw Sample(s)
Reset
Values from last sample generated:
Options:
Show Normal Approximation
Select Range of x-Axis (Zoom In)
Sample Mean
Population Mean
Summary Statistics of Samp. Dist.
Find Percentile for Samp. Dist.
Which Percentile (in %)?
Find Probability
At or below which value?
Download Graph(s)
Which plot do you want to save?
Sampling Distribution
Population Distibution
Data Distribution
Download Sampling Distribution
Download Population Distribution
Download Data Distribution
Summary Statistics for Sampling Distribution:
Percentile of Sampling Distribution:
Proportion of Sampling Distribution at or below a certain value: