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Homestatistics calculator

Statistics Calculator

Enter numbers separated by commas or spaces to calculate statistics.

StatisticValue
Count (n)7
Sum43
Mean (average)6.14286
Median7
Mode7
Minimum1
Maximum13
Range (max − min)12
Population Std Dev (σ)3.87035
Sample Std Dev (s)4.18045
Variance (σ²)14.9796

What each statistic means

Mean — The arithmetic average. Best for symmetric, normally distributed data without outliers.
Median — The middle value when sorted. Resistant to outliers — use it for skewed data like salaries or house prices.
Mode — The most frequent value. Useful for categorical data (e.g. "most common shoe size") or multimodal distributions.
Range — Max minus min. A simple measure of spread, but sensitive to extreme outliers.
Standard deviation — Average distance from the mean. About 68% of normally distributed data falls within ±1 SD of the mean.
Variance — Std deviation squared. Used in ANOVA, regression, and other statistical tests.

Choosing the right measure

The mean is the most familiar average but can be misleading when data is skewed. The average US household income is around $80,000 — but the median is closer to $56,000, because a small number of very high earners pull the mean up. For income, house prices, and any dataset with extremes, the median is usually more representative.

Use mode when the most common value matters — for example, "what shoe size sells most?" A dataset can be bimodal (two peaks) or multimodal, which often signals that two different groups are mixed in the data.

Standard deviation tells you how spread out values are. In a normal distribution, about 68% of values fall within one SD of the mean, and 95% fall within two SDs. A small SD means the data clusters tightly around the mean; a large SD means values are spread widely.

Frequently Asked Questions

The mean is the average (sum ÷ count). The median is the middle value when sorted. For skewed data — such as incomes or house prices — the median is usually a better measure of centre because it isn't pulled by extreme values.