Calculate the mean, median, and mode of any dataset. Get full central tendency analysis with frequency distribution charts, step by step.
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Calculate all three measures of central tendency in one tool. Our calculator finds the mean (average), median (middle value), and mode (most frequent value) with step-by-step explanations, frequency distributions, and visual charts.
Mean, median, and mode are the three primary measures of central tendency in statistics. The mean is the arithmetic average, calculated by summing all values and dividing by the count. The median is the middle value when data is sorted. The mode is the value that appears most frequently. Each measure provides different insights into your data's distribution.
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Each measure reveals different data characteristics
Compare mean vs median to detect skewness
Mode identifies the most common value
Essential for complete statistical analysis
Choose the best measure for your specific data type
Use the mean for normally distributed data without outliers. Use the median when data is skewed or has outliers (like income data). Use the mode for categorical data or when you need the most common value. For a complete picture, calculate all three.
If all values appear with equal frequency (each appears only once, or each appears the same number of times), there is no mode. This is common with continuous data or datasets with high variability.
Unimodal means one mode (one value appears most often). Bimodal means two values share the highest frequency. Multimodal means three or more values share the highest frequency. These can indicate subgroups in your data.
In a symmetric (normal) distribution, mean = median = mode. In right-skewed data, mean > median > mode. In left-skewed data, mode > median > mean. Comparing these values helps identify distribution shape.