What is this calculator?
This tool computes the four core measures of a numeric data set — the mean, median, mode, and range — along with the sum, count, minimum and maximum. These statistics summarize the center and spread of your data and are used everywhere from school homework to business reporting and scientific analysis.
How to use it
Type or paste your numbers into the box, separated by commas or spaces (for example 4, 8, 15, 16, 23, 42). Press calculate and every statistic is returned instantly. Decimals and negative numbers are supported.
The formulas explained
The mean is the sum of all values divided by how many values there are: \(\text{Mean} = \sum x / n\). The median is the middle value once the data is sorted; with an even count it is the average of the two central values. The mode is the value (or values) that appear most often — if no value repeats, there is no mode. The range measures spread as the maximum minus the minimum.
$$\begin{gathered} \text{Mean} = \frac{\sum x_i}{n}, \quad \text{Range} = x_{\max} - x_{\min} \\[1.5em] \text{where}\quad \left\{ \begin{aligned} x_i &= \text{Entered numbers} \\ n &= \text{count of values} \\ \text{Median} &= \text{middle value (sorted)} \\ \text{Mode} &= \text{most frequent value(s)} \end{aligned} \right. \end{gathered}$$
Worked example
For the set 4, 8, 15, 16, 23, 42: the sum is 108 and there are 6 values, so the mean is \(108 \div 6 = 18\). Sorted, the two middle values are 15 and 16, so the median is \((15 + 16) \div 2 = 15.5\). No value repeats, so there is no mode. The range is \(42 - 4 = 38\).
FAQ
What if my data has no mode? When every value appears the same number of times (each once), the calculator reports "No mode".
Can there be more than one mode? Yes. If two or more values tie for the highest frequency, the set is multimodal and all of them are shown.
Does it handle decimals and negatives? Yes — enter values like -2.5, 3.1, 4 and they are parsed correctly.
