Enter Data
Example Data Table
| Dataset | Count | Mean | Median | Mode | Range |
|---|---|---|---|---|---|
| 4, 6, 6, 8, 10, 12 | 6 | 7.667 | 7 | 6 | 8 |
| 3, 3, 5, 7, 9, 9, 9 | 7 | 6.429 | 7 | 9 | 6 |
| 2.5, 2.5, 4.5, 6.5, 8.5 | 5 | 4.9 | 4.5 | 2.5 | 6 |
Formula Used
The calculator measures central tendency and spread from the dataset you enter. It accepts either a simple list of values or a value and frequency table. When frequency pairs are used, each value is expanded according to its frequency before calculations are made.
Mean: Mean equals the sum of all values divided by the total number of values.
Median: Median is the middle value after sorting. If the count is even, it becomes the average of the two middle values.
Mode: Mode is the value or values that appear most often. If every value appears once, the tool reports no repeated value.
Range: Range equals maximum value minus minimum value.
Q1 and Q3: These quartiles split the ordered dataset into lower and upper halves.
IQR: Interquartile range equals Q3 minus Q1.
Variance and standard deviation: These show how far values spread around the mean. Population and sample versions are both included for wider statistical use.
How to Use This Calculator
- Enter raw values separated by commas, spaces, or line breaks. You may instead enter value and frequency pairs.
- Set the number of decimal places you want in the output.
- Click the calculate button to display the results directly below the header and above the input form.
- Review the summary cards, detailed metric table, sorted data preview, frequency table, and Plotly graph.
- Use the CSV button to save the calculated summary and dataset. Use the PDF button to capture the visible result block.
About This Statistics Tool
This calculator helps students, teachers, analysts, and researchers evaluate datasets quickly. Mean, median, mode, and range are common descriptive statistics, yet they reveal different behaviors in the same data. The mean gives an overall average. The median resists extreme values better than the mean. The mode shows the most frequent observation. The range offers a simple measure of spread.
Because real datasets are not always entered the same way, this tool supports two practical input styles. You can paste a raw list of numbers from worksheets, reports, or spreadsheets. You can also enter a compact frequency table when repeated values appear many times. This makes the page useful for classroom examples, survey summaries, laboratory observations, and business reporting tasks.
The output goes beyond the four main measures. Count, sum, minimum, maximum, quartiles, interquartile range, variance, and standard deviation help you interpret the shape and spread of your data with better context. The sorted preview and frequency table make it easier to verify that the entered numbers were processed correctly. The Plotly graph adds a quick visual check, which is especially helpful during explanation, auditing, and presentation work.
Export features are also included. You can save a CSV file for later review in spreadsheet software and generate a PDF capture of the results area for records, printing, or sharing. This makes the page a practical all-in-one option for descriptive statistics work.
FAQs
1. What does the mean show?
The mean shows the average value of the dataset. Add all values together, then divide by the number of values entered.
2. How is the median found?
The calculator sorts the data first. The middle value becomes the median. With an even number of values, it averages the two middle values.
3. What is the mode in statistics?
The mode is the most frequent value in the dataset. Some datasets have one mode, several modes, or no repeated value.
4. What does the range tell me?
The range measures spread in a simple way. It equals the largest value minus the smallest value in the dataset.
5. Can I enter decimal values?
Yes. The calculator accepts integers and decimals in raw lists and in value and frequency pairs.
6. Why use the frequency table field?
The frequency field is useful when many values repeat. It saves typing time and keeps large repeated datasets easier to manage.
7. What happens if every value appears once?
When all values occur only one time, the tool reports no repeated value. In that case, the dataset has no mode.
8. What do the CSV and PDF downloads include?
The CSV file includes the summary metrics, full sorted data, and frequency rows. The PDF captures the visible result section for printing or sharing.