When should I use mean vs median?

Use mean for normally distributed data without outliers. Use median when data is skewed or has outliers, as median is less affected by extreme values. For example, median income is often more representative than mean income.

What if my data has no mode?

If no value repeats, there is no mode. If multiple values tie for highest frequency, the data is multimodal. Mode is most useful for categorical data or when you want to know the most common value.

How do outliers affect these statistics?

Outliers strongly affect mean, variance, and standard deviation but have little effect on median and mode. Range is also affected by outliers. Consider removing outliers or using robust statistics when outliers are present.

What's the difference between variance and standard deviation?

Variance measures spread in squared units, while standard deviation is the square root of variance and uses the same units as the original data. Standard deviation is easier to interpret because it's in the same scale as your data.

Statistics Calculator – Mean, Median, Mode, Range

Calculate descriptive statistics including mean, median, mode, range, variance, and standard deviation for data sets. Comprehensive statistical analysis tool.

Statistics Calculator – Mean, Median, Mode, Range

Calculate descriptive statistics including mean, median, mode, range, variance, and standard deviation for data sets. Comprehensive statistical analysis tool.

Data Set*

Enter numbers separated by commas

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Understanding Descriptive Statistics

Descriptive statistics summarize and describe the main features of a dataset. They provide simple summaries about the sample and measures, forming the basis of virtually every quantitative analysis of data.

Key Statistical Measures

Important descriptive statistics:

Mean: Average value of all data points
Median: Middle value when data is arranged in order
Mode: Most frequently occurring value
Range: Difference between highest and lowest values
Variance: Average of squared differences from the mean
Standard Deviation: Square root of variance

How to Use This Calculator

Follow these simple steps to get accurate results:

Enter your data set
Click the "Calculate" button to see your results
Review the detailed breakdown and explanation

Why Use Our Statistics Calculator – Mean, Median, Mode, Range?

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Educational content to help you understand the results

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