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Average Calculator
Calculate mean, median, mode, range, and standard deviation from a data set.
How to Use the Average Calculator
- Enter a list of numbers separated by commas or spaces.
- Click Calculate to compute mean, median, mode, range, standard deviation, and variance.
- Use the Clear button to reset and enter a new data set.
Formula & Method
Mean: ฮผ = (ฮฃxแตข) / N
Median: Middle value of sorted data (average of two middle values if N is even).
Mode: Most frequently occurring value(s).
Standard Deviation: ฯ = โ(ฮฃ(xแตข - ฮผ)ยฒ / N) (population) or s = โ(ฮฃ(xแตข - ฮผ)ยฒ / (N-1)) (sample).
Examples
| Data Set | Mean | Median | Mode |
|---|---|---|---|
| 2, 4, 4, 6, 8 | 4.8 | 4 | 4 |
| 10, 20, 30, 40, 50 | 30 | 30 | None |
Frequently Asked Questions
What is the difference between mean and median?
Mean is the average; median is the middle value when sorted.
What if there is no mode?
If all values appear once, the calculator shows "None".
Does this work for large data sets?
Yes, you can enter hundreds of numbers.
People Also Ask
What is the difference between mean and average?
Mean and average are the same thing: the sum of all values divided by the count.
How do you find the median of an even set?
Take the average of the two middle numbers after sorting.