What is the difference between Mean, Median, and Mode?

The mean is the arithmetic average of a dataset. The median is the middle value when the dataset is sorted in numerical order. The mode is the most frequently occurring value in the dataset.

How do outliers affect the mean?

The mean is highly sensitive to extreme outliers because it takes into account the numerical value of every single data point. An extremely high or low value will pull the mean towards it.

When should I use Geometric Mean instead of Arithmetic Mean?

Use the geometric mean when dealing with percentages, growth rates, ratios, or values that scale exponentially over time, such as financial portfolio investment returns.

Statistics Tool

Mean Calculator

Calculate the arithmetic mean, geometric mean, and harmonic mean of a dataset. See step-by-step calculations and visual formulas.

Interactive Mean Calculator Workspace

Live Solver

Dataset Values (separated by commas or spaces)

Calculated arithmetic Mean30

Calculation Steps

Step 1: Sum all dataset values:
12 + 15 + 24 + 30 + 45 + 54 = 180

Step 2: Count the total number of items in the dataset (N):
N = 6

Step 3: Divide the sum by N:
Mean = 180 / 6 = 30.000000

Mathematical Formula & Variables

Equation Modelμ = (Σ x_i) / N

The arithmetic mean is the sum of all individual data values divided by the total number of values in the dataset.

Variable Definitions

Symbol	Description
μ	Population mean (or x̄ for sample mean)
Σ x_i	The sum of all values in the dataset
N	The total count of values in the dataset

How to Use the Mean Calculator

Enter your dataset values separated by commas, spaces, or newlines.
Choose the type of mean you want to focus on (Arithmetic, Geometric, or Harmonic).
Review the step-by-step arithmetic sum, division, and the final calculated average.