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Enter a set of numbers to compute comprehensive statistics: count, sum, mean, median, mode, range, variance, and standard deviation.
Statistical Measures:
Mean = sum / n
Median = middle value when sorted
Mode = most frequently occurring value(s)
Range = max - min
Variance = sum((xi - mean)²) / n (population)
Std Dev = sqrt(Variance)
Mean is the arithmetic average. Median is the middle value when data is sorted. Mode is the most frequently occurring value. For skewed data, median is often a better representation than mean.
The median is preferred when data has outliers or is skewed. For example, household income data uses median because a few very high incomes would inflate the mean.
Standard deviation measures how spread out the data is from the mean. A small std dev means data is clustered near the mean; a large one means it is more spread out.
The range is the difference between the maximum and minimum values. It gives a simple measure of variability but is sensitive to outliers.
If no value appears more than once, the dataset has no mode. If multiple values tie for highest frequency, the dataset is multimodal.