Average Calculator
Find the average (mean) of a list of numbers, plus the median, mode, range, sum, count, geometric and harmonic mean, standard deviation and quartiles, with an optional weighted average and every step shown. Example: for 10, 2, 38, 23, 38, 23, 21 the mean is 22.14 and the median is 23.
Show steps
How to use the Average Calculator
- Type or paste your numbers, separated by commas, spaces or new lines.
- For a weighted average, add one weight per number in the second box.
- Press Calculate to see the mean, median, mode, range, standard deviation and steps.
Formula and method
Mean = sum of the numbers / how many numbers there are. Median = the middle value of the sorted list (or the average of the two middle values). Mode = the most frequent value. Range = largest – smallest. Weighted mean = sum of (value x weight) / sum of weights.
Worked example: 10, 2, 38, 23, 38, 23, 21
| Measure | Result |
|---|---|
| Sum | 155 |
| Count | 7 |
| Mean (155 / 7) | 22.14 |
| Sorted | 2, 10, 21, 23, 23, 38, 38 |
| Median (4th value) | 23 |
| Mode | 23 and 38 (twice each) |
| Range (38 – 2) | 36 |
Mean, median and mode compared
| Measure | What it tells you | Best used when |
|---|---|---|
| Mean | The balance point of all values | Data is roughly symmetric |
| Median | The middle value | Data is skewed or has outliers |
| Mode | The most common value | Data is categorical or repeated |
Weighted average example
| Score | Weight | Score x weight |
|---|---|---|
| 90 | 40% | 36 |
| 80 | 30% | 24 |
| 70 | 30% | 21 |
| Weighted average | 81 |
When to use which average
Incomes and house prices are skewed, so the median is more representative than the mean. Growth rates compound, so the geometric mean fits them better. Speeds over equal distances use the harmonic mean.
Frequently asked questions
How do I calculate the average?
Add all the numbers and divide by how many there are.
What is the average of 10, 20 and 30?
20.
What is the difference between mean, median and mode?
Mean is the sum divided by the count, median is the middle value, and mode is the most frequent value.
How do I calculate a weighted average?
Multiply each value by its weight, add the results, and divide by the sum of the weights.
What if there is no mode?
If no value repeats, the list has no mode.
Is average the same as mean?
In everyday use, yes: average usually means the arithmetic mean.
Sources
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