loot.tools

Statistics Calculator

Paste a list of numbers and get the full descriptive-statistics summary at once: count, sum, mean, median, mode, range, sample and population standard deviation and variance, the first and third quartiles with the interquartile range, and the geometric mean. Separate your values with commas, spaces, or new lines - the tool ignores anything that isn't a number and tells you what it skipped. Copy the whole report with one click. It all runs in your browser.

Paste a list of numbers and get the mean, median, mode, standard deviation, quartiles, and more. Separate values with commas, spaces, or new lines. It all runs in your browser.

10 values
Count10
Sum123
Mean (average)12.3
Median11.5
Mode7
Min4
Max23
Range19
Std dev (sample)6.2725
Std dev (population)5.9506
Variance (sample)39.3444
Variance (population)35.41
Q1 (25%)7
Q3 (75%)18
IQR11
Geometric mean10.7889

What this tool does

Type or paste your numbers, separated however you like - commas, spaces, tabs, or one per line all work. The summary updates as you type. Mean is the plain average, median is the middle value once the list is sorted, and mode is the value (or values) that show up most often. If nothing repeats, there's no mode.

Sample vs. population

Standard deviation and variance come in two flavors. Use the sample version (it divides by n - 1) when your numbers are a sample drawn from a larger group, which is the usual case. Use the population version (it divides by n) when your list is the entire group you care about. The sample figures need at least two values, so they show a dash for a single number.

Quartiles and the IQR

Q1 is the value a quarter of the way through the sorted list and Q3 is three quarters of the way. The interquartile range (IQR) is Q3 minus Q1, the spread of the middle half of your data. Together with the min, median, and max they make up the five-number summary that box plots are built on. Quartiles here use the exclusive-median method.