Population Mean Calculator
Calculate the population mean (arithmetic average) for a complete population data set. Get accurate mu values with population variance and standard deviation.
Enter Population Data
Example Data Sets:
Data Summary:
N = 10 values, Range: [38.0000, 55.0000]
Population Mean (mu)
47.400000
Population Size (N)
10
Sum
474.0000
Population Variance
26.640000
Population Std Dev
5.161395
Additional Statistics:
Standard Error:
1.632176
Min Value:
38.0000
Max Value:
55.0000
Range:
17.0000
What is Population Mean?
The population mean (denoted by mu) is the arithmetic average of all values in a complete population. Unlike the sample mean, which estimates the population parameter from a subset, the population mean represents the true central tendency when you have data for every member of the population.
Population Mean Formula
Formula:
mu = (Sum of all Xi) / N
Where Xi represents each value in the population and N is the total population size.