Statistics calculator
Whether it's class test marks, cricket scores or monthly expenses, this statistics calculator gives you every common summary of a list of numbers in one go: the mean, median and mode, the range, variance and standard deviation (both population and sample), the quartiles and the interquartile range. It also shows the working for the mean and standard deviation, and a frequency table, so you can check your homework step by step.
How to use it
- Type or paste your numbers.
- Read the results; they update as you edit the list.
Example
The marks 45, 52, 61, 61, 70, 74, 78, 83, 88, 95 add up to 707, so the mean is 707 ÷ 10 =70.7. Sorted, the middle two are 70 and 74, so the median is 72; 61 appears twice, so it's the mode. The population standard deviation is about 15.2 — most marks lie within about 15 of the average. Turn marks into percentages with the percentage calculator.
Frequently asked questions
What is the difference between mean, median and mode?
The mean is the average (sum ÷ count). The median is the middle value when the data is sorted. The mode is the value that appears most often. For skewed data like salaries, the median is often a fairer “typical” value than the mean.
Should I use population or sample standard deviation?
Use population (divide by n) when your data is the whole group, such as the marks of every student in a class. Use sample (divide by n − 1) when the data is a sample drawn from a bigger group. School textbooks in India usually use the population formula.
How are quartiles calculated?
The data is sorted and split at the median. Q1 is the median of the lower half and Q3 the median of the upper half (the middle value is left out when the count is odd). Other software may use slightly different conventions, so Q1 and Q3 can differ a little.
What if there is no mode?
If every value appears only once, the data has no mode. If two or more values tie for the most appearances, all of them are modes (bimodal or multimodal data).