๐
Average Calculator - Mean, Median, Mode & Range
Free online average calculator. Calculate arithmetic mean, median, mode, range, and standard deviation for any list of numbers.
Inputs
๐ Local Processinge.g. 15, 22, 38, 45, 12
Arithmetic Mean (Average)
35.00
Analyzed 6 NumbersCount of Values (n)6
Sum of Values (ฮฃx)210
Median35.00
Range (Max - Min)50 (10 to 60)
How to Use This Calculator
- Paste or type your numbers separated by commas or spaces into the input box.
- The calculator immediately analyzes the dataset and presents the mean, median, sum, and range.
Formula & Mathematical Method
Sum of all numbers divided by the total count of numbers in the data set.
Mean = (ฮฃx) / nExplanation of Variables
| Symbol | Variable Name | Description & Role in Calculation |
|---|---|---|
| ฮฃx | Sum of Observations | Total sum of all numerical data points. |
| n | Sample Size | Total count of individual values in the set. |
Worked Calculation Examples
Five Test Scores
Scenario: Exam scores: 80, 85, 90, 95, 100.
Sum = 450, Mean = 450 / 5 = 90.
Interpretation of Results
Review your calculated mathematical output alongside step-by-step arithmetic deductions. The result reflects pure algebraic evaluation of your input values.
Calculated Value
The exact numerical result of the mathematical operation or formula.
Key Context: Verify your input figures to ensure accurate computation.
Practical Use Cases
Daily Problem-Solving & Verification
Perform fast, reliable calculations for everyday mathematical, consumer, or educational tasks without manual errors.
Analytical Modeling
Model numerical relationships, ratios, and projections directly in your browser.
Limitations & Key Assumptions
- Calculations assume ideal arithmetic conditions and exact input values.
- Results are computed using standard IEEE 754 precision; discrete rounding may be applied for readability.
Frequently Asked Questions
What is the difference between mean and median?
The mean is the mathematical average, while the median is the middle value when all numbers are sorted.
Related Calculators & Tools
Authoritative References & Standards
Quantities and Units โ Mathematical Signs and Symbols
International Organization for Standardization (ISO) โข ISO 80000-2:2019