Mean Median Mode Range Calculator
Calculate mean, median, mode, range, midrange, minimum, maximum, sum, and count for any set of numbers. Free online statistics calculator with breakdowns and charts.
About This Calculator
The Mean Median Mode Range Calculator is a comprehensive statistics tool that computes all key measures of central tendency and dispersion for any dataset. Whether you are a student learning statistics, a teacher preparing lesson materials, a data analyst exploring data distributions, or a researcher analyzing survey results, this calculator provides instant, accurate results with clear breakdowns.
Simply enter your numbers separated by commas, and the calculator will compute the mean (average of all values), median (middle value when sorted), mode (most frequent value), range (difference between maximum and minimum), midrange (average of max and min), along with the total count, sum, minimum, and maximum. The results are displayed with visual bar charts of sorted values and frequency distribution pie charts to help you understand the data at a glance.
The mean is calculated using the formula μ = ΣX / N (sum of all values divided by count). The median is found by sorting the numbers and selecting the middle value (or averaging the two middle values for even-numbered datasets). The mode identifies the most commonly occurring value. The range measures total spread using Range = Max − Min, and the midrange provides the central point between extremes.
Regional Notes
Global: This calculator works with any numeric dataset regardless of region. Numbers are parsed as comma-separated decimal values (period for decimal point). Results are displayed with regional number formatting for clarity.
Frequently Asked Questions
How do you calculate the mean?
The mean is calculated by adding all numbers in the dataset and dividing by the total count of numbers. For example, the mean of 2, 5, 6, 8, 9 is (2+5+6+8+9)/5 = 6.
How do you find the median?
To find the median, sort the numbers in ascending order. If there is an odd count, the median is the middle number. If even, it is the average of the two middle numbers. For example, the median of 2, 4, 6, 7, 8, 9 is (6+7)/2 = 6.5.
How do you determine the mode?
The mode is the number that appears most frequently in the dataset. A dataset can have one mode (unimodal), multiple modes (multimodal), or no mode if all numbers appear the same number of times.
What is the range in statistics?
The range is the difference between the maximum and minimum values in a dataset. It measures the spread or dispersion of the data. Range = Maximum value - Minimum value.
What is the midrange?
The midrange is the average of the maximum and minimum values in the dataset. It is calculated as (Maximum + Minimum) / 2 and provides another measure of central tendency.
Is this calculator free to use?
Yes, this mean median mode range calculator is completely free to use with no registration, downloads, or hidden charges. You can use it online anytime.
Can I share my calculation results?
Yes, the URL automatically saves your input values so you can bookmark, copy, or share the exact calculation with others. Simply copy the URL after calculating.
How accurate are the results?
Results are computed using standard statistical formulas and are rounded to 4 decimal places for precision. The calculator uses validated algorithms for mean, median, mode, range, and all other statistics.