Average Calculator — Mean, Median, Mode & Range Online
Free online average calculator to compute mean, median, mode, range, and geometric mean from any set of numbers. Enter data with spaces or new lines and get instant statistical results with visual breakdown.
Numbers
Values
Try an Example
Core Statistics
Count
n
10Sum
Σx
52Min
Smallest
2Max
Largest
9Q1
25th percentile
3.25Q3
75th percentile
7.5Spread & Dispersion
IQR (Q3 − Q1)
Interquartile range
4.25Std Dev (Population)
σ — based on all n values
2.4Std Dev (Sample)
s — divide by n−1
2.52982Variance (Population)
σ²
5.76Variance (Sample)
s²
6.4RMS
Root Mean Square
5.72713Other Means
Arithmetic Mean
(a+b+c…)/n
5.2Geometric Mean
ⁿ√(a×b×c…)
4.58961Harmonic Mean
n / (1/a + 1/b…)
3.9823Distribution
Skewness (Pearson)
Roughly symmetric
0.25Outliers
All values within Tukey fences
None detectedBox Plot
Frequency Distribution (7 unique values)
22314152618291Copy Summary
Mean=5.2 Median=5 Mode=2,5,8 Range=7 StdDev=2.4How to Use Average Calculator
Enter Your Numbers
Type or paste numbers separated by spaces, commas, or new lines into the input field.
View Core Statistics
Instantly see the mean, median, mode, range, minimum, maximum, and count of your data set.
Explore Advanced Metrics
Scroll down to view standard deviation, variance, quartiles, RMS, geometric mean, and harmonic mean.
Analyze Distribution
Check the frequency distribution chart, skewness, and outliers detected using the Tukey method.
Frequently Asked Questions
The mean is the arithmetic average of all numbers. The median is the middle value when numbers are sorted. The median is less affected by outliers, making it a better measure of central tendency for skewed data.
A standard deviation of zero means all numbers in your data set are identical. There is no variation among the values.
"No mode" means no number appears more than once in your data set. The mode is the most frequently occurring value, and if all values are unique, there is no mode.
Yes, the calculator supports decimal numbers, negative numbers, and zero. All statistics including mean, median, and standard deviation work correctly with these values.
RMS (Root Mean Square) is used in physics and signal processing. Geometric mean is useful for growth rates and requires all positive numbers. Harmonic mean is used for rates and averages of ratios.
Outliers are detected using the Tukey method. Any value below Q1 − 1.5×IQR or above Q3 + 1.5×IQR is flagged as a potential outlier, where IQR is the interquartile range.
Try an Example
Numbers
85 92 78 95 88
Mean: 87.6 · Median: 88 · Mode: No mode
5 numbers · Range: 17 · Std Dev: 6.02
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