Math
Statistics Calculator
Full descriptive statistics for any data set: mean, median, mode, standard deviation, quartiles, and more.
Count
10
Mean
50.6000
Median (Q2)
50.5000
Mode
11, 12, 23, 34, 45, 56, 67, 78, 89, 91
Pop Std Dev
28.7792
Sample Std Dev
30.3359
Pop Variance
828.2400
Sample Variance
920.2667
Q1 (25th)
23.0000
Q3 (75th)
78.0000
IQR
55.0000
Range
80.0000
More statistics
Min
11.00
Max
91.00
Sum
506.00
Frequently asked questions
What's the difference between Q1, Q2, and Q3?
Q1 (first quartile) is the median of the lower half of data. Q2 is the overall median. Q3 is the median of the upper half. Together they split the data into four equal parts.
What is IQR used for?
The Interquartile Range (Q3 − Q1) measures the spread of the middle 50% of data. It's used to identify outliers — values below Q1 − 1.5×IQR or above Q3 + 1.5×IQR are typically considered outliers.
Which standard deviation should I use?
Use population when your data includes the entire group. Use sample when you have a subset and want to estimate the population. Sample uses N−1 to give an unbiased estimate.
Can I paste data from a spreadsheet?
Yes! Paste comma-separated, space-separated, or tab-separated values. The calculator parses all common delimiters automatically.
Complete descriptive statistics for any numeric data set: count, sum, mean, median, mode, population and sample standard deviation, variance, quartiles, IQR, range, min, and max.