Measure averages accurately with raw lists or frequency tables. Check every step clearly. Export polished results and compare distributions with confidence today.
Use raw numbers or a value-frequency table. Results appear above this form after submission.
| Observation | Value |
|---|---|
| 1 | 12 |
| 2 | 15 |
| 3 | 18 |
| 4 | 20 |
| 5 | 22 |
| 6 | 25 |
For this dataset, the sum is 112 and the arithmetic mean is 112 ÷ 6 = 18.6667.
The arithmetic mean equals the total of all values divided by the number of values.
Raw values formula:
Mean = (x₁ + x₂ + x₃ + ... + xₙ) / n
Frequency table formula:
Mean = Σ(x × f) / Σf
Where x is the value, f is frequency, and n is the number of observations.
It is the average found by adding all values and dividing by the number of observations. It is one of the most common measures of central tendency.
Yes. The calculator accepts decimals, whole numbers, and negative values. Just separate them clearly with commas, spaces, or new lines in raw mode.
Raw mode uses every value directly. Frequency mode summarizes repeated values using value-frequency pairs, which is faster for grouped or repetitive datasets.
No. Sorting only changes the displayed order of the values. The mean remains the same because the total and observation count stay unchanged.
They provide extra context. Median shows the central position, while standard deviation shows spread. Together they help you interpret the average more carefully.
Use it when many values repeat. Instead of entering every value, you can enter each unique value once with its count and still get the same mean.
The graph shows the frequency of each value and adds a reference line for the mean. It helps you compare clustering and balance in the dataset.
Yes. Use the CSV export for spreadsheet work and the PDF export for a clean shareable summary. Both use your current calculation results.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.