Statistics Calculator: Mean, Median, Mode
Calculate mean, median, mode, standard deviation, and variance for any dataset with a free online calculator.
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Statistics Calculator: Mean, Median, Mode A statistics calculator computes descriptive statistics — mean, median, mode, standard deviation, variance, and percentile rank — from a list of numbers. Paste your dataset into the calculator, and it returns a complete summary in seconds. No spreadsheet or Python knowledge required. --- See our complete guide to health and productivity calculators for the full toolkit. What Are Descriptive Statistics? Descriptive statistics summarize a dataset with a small number of meaningful values. They answer: "What does this data look like?" before you apply any statistical tests or models. The main categories: Measures of central tendency — where the "center" of the data is: Mean (arithmetic average) Median (middle value) Mode (most frequent value) Measures…
Frequently Asked Questions
How do I calculate mean, median, and mode?
Mean: sum all values and divide by the count. Median: sort the values; the middle value is the median (or average of the two middle values for even counts). Mode: the value that appears most frequently. For [4, 7, 7, 9, 12]: mean = 39/5 = 7.8, median = 7, mode = 7.
What is standard deviation?
Standard deviation measures how spread out values are from the mean. A small standard deviation means values cluster tightly around the mean; a large one means high variability. It's the square root of variance. For a dataset of test scores, a standard deviation of 5 means most students scored within 5 points of the average.
What is variance in statistics?
Variance is the average of squared differences from the mean. To calculate: subtract the mean from each value, square the result, then average those squared differences. Standard deviation is the square root of variance, which returns it to the original unit of measurement.
When should I use median instead of mean?
Use median when your data contains outliers or is skewed. Income data is a classic example — a few very high earners pull the mean upward, making it unrepresentative of the typical person. The median (the income of the middle person in the sorted list) better represents the center for skewed distributions.
How do I calculate percentile rank?
Percentile rank tells you what percentage of values fall at or below a given score. Formula: (number of values below your score / total values) × 100. If you scored 85 on a test and 70 out of 100 students scored below 85, your percentile rank is 70. The 50th percentile equals the median.
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