Mean, Median, Mode Calculator
Calculate measures of central tendency for your dataset
Mean = Σx / n
Average
Median = Middle
Central value
Mode = Most Frequent
Common value
Minimum 1 number required
Quick Examples
Mean (Average)
Median (Middle)
Mode (Most Frequent)
None
Count (n)
Sum (Σx)
Min
Max
Range
Step-by-Step Breakdown
Step 1: Your Data
Step 2: Calculate Mean
Mean = () / =
Step 3: Calculate Median
Sorted:
Middle value = Average of middle values =
Step 4: Find Mode
All values appear only once → No mode
Most frequent value(s) →
Note: Step-by-step breakdown is hidden for datasets larger than 10 values for readability.
If you like this calculator
Please help us simply by sharing it. It will help us a lot!
Related Calculators
Other calculators you might find useful.
FOIL Calculator
Multiply two binomials using the FOIL method with step-by-step solutions
Log Base 2 Calculator
Calculate binary logarithms with step-by-step solutions and antilog conversions
Ratio Calculator
Simplify ratios, compare ratios, scale values, and solve ratio problems with step-by-step solutions
Avogadro's Number Calculator
Convert between moles, atoms, and molecules using Avogadro's constant
Rhombus Calculator
Calculate area, perimeter, diagonals, and angles of any rhombus
Matrix Multiplication Calculator
Multiply 2x2 and 3x3 matrices with step-by-step solutions and visual representations
About Mean, Median, Mode Calculator
What are Mean, Median, and Mode?
Mean, median, and mode are the three most common measures of central tendency in statistics. Each provides a different way to describe the "center" or typical value of a dataset.
Understanding Each Measure
Mean (Average)
The mean is calculated by summing all values and dividing by the count. It's sensitive to outliers and best for normally distributed data.
Formula: Mean = Σx / n
Median (Middle Value)
The median is the middle value when data is sorted. For even-count datasets, it's the average of the two middle values. It's resistant to outliers.
Formula:
- Odd n: Middle value at position (n+1)/2
- Even n: Average of values at positions n/2 and (n/2)+1
Mode (Most Frequent)
The mode is the value that appears most frequently. A dataset can have:
- No mode - all values appear equally often
- Unimodal - one mode
- Bimodal - two modes
- Multimodal - three or more modes
When to Use Each Measure
| Measure | Best For | Avoid When |
|---|---|---|
| Mean | Normally distributed data | Outliers present |
| Median | Skewed data, ordinal data | Categorical data |
| Mode | Categorical data, finding typical values | All values unique |
Example Calculation
Dataset: 2, 3, 3, 5, 7, 9, 10
- Mean: (2+3+3+5+7+9+10) / 7 = 39 / 7 ≈ 5.57
- Median: Middle value (4th value) = 5
- Mode: 3 (appears twice)
Practical Applications
- Education - Average test scores, grade distributions
- Business - Average sales, typical customer spending
- Research - Data analysis, survey results
- Finance - Average returns, typical transaction amounts
- Quality Control - Process measurements, defect rates
Tip: Use all three measures together for a complete picture of your data's central tendency. If they differ significantly, your data may be skewed.