Calculate mean, median, and mode of any dataset with our free online statistical calculator. Get detailed step-by-step calculations, frequency tables, and comprehensive statistical analysis.
Enter Your Data
Input your numbers separated by commas, spaces, semicolons, or line breaks. The calculator accepts various number formats.
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Review comprehensive statistics including count, sum, range, and frequency distribution of your dataset.
Show Detailed Steps
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Calculate Mean (Average)
Automatically calculate the arithmetic mean of your dataset with precise results and step-by-step breakdown
Find Median Value
Determine the middle value of your sorted dataset, handling both odd and even number of values correctly
Identify Mode(s)
Find the most frequently occurring value(s) in your dataset with detailed frequency analysis
Additional Statistics
Get comprehensive statistics including count, sum, range, minimum, maximum, and frequency distribution
Mean, median, and mode are the three main measures of central tendency in statistics. The mean is the arithmetic average of all values, calculated by adding all numbers and dividing by the count. The median is the middle value when numbers are arranged in order. The mode is the value(s) that appear most frequently in the dataset. These measures help understand the central or typical value in a collection of data.
Instant Calculations
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Step-by-Step Solutions
View detailed calculation steps including data sorting, frequency analysis, and formula applications for learning purposes.
Comprehensive Statistics
Beyond mean, median, and mode, get additional statistics like count, sum, range, minimum, and maximum values.
Multiple Input Formats
Enter data using various separators (commas, spaces, semicolons, line breaks) for maximum flexibility and convenience.
Mean is the arithmetic average (sum ÷ count), median is the middle value when data is sorted, and mode is the most frequently occurring value(s). Each measure provides different insights into your data's central tendency.
When there's an even number of values, the median is the average of the two middle values. For example, in the dataset [1, 2, 3, 4], the median is (2 + 3) ÷ 2 = 2.5.
Yes, a dataset can be unimodal (one mode), bimodal (two modes), multimodal (multiple modes), or have no mode if all values appear with the same frequency.
You can enter numbers separated by commas, spaces, semicolons, tabs, or line breaks. The calculator automatically parses different formats and validates the input data.
The calculator provides high precision results with up to 4 decimal places, automatically removing trailing zeros for cleaner display while maintaining mathematical accuracy.