Mean, Median & Mode Calculator
Paste a list of numbers to get the mean, median, mode, range, count, and sum โ the core measures of central tendency.
Result
- Count (n)6
- Sum108
- Mean18
- Median15.5
- Modenone (all unique)
- Range38 (min 4, max 42)
Step-by-step
- Mean = sum รท count = 108 รท 6 = 18.
- Median = middle of the sorted list (even count โ average of two middle values) = 15.5.
- No mode โ every value occurs once.
How to use this calculator
- Paste or type your numbers, separated by commas, spaces, or new lines.
- Read the mean, median, and mode, plus the count, sum, and range.
- Compare mean and median: a big gap signals a skewed dataset or outliers.
- Note whether there is one mode, multiple modes, or none.
About this calculator
The mean, median, and mode are the three classic measures of central tendency โ different ways of describing the "typical" value in a dataset. The mean is the arithmetic average: add all the values and divide by how many there are. The median is the middle value when the data is sorted (or the average of the two middle values for an even count); it is unaffected by extreme outliers, which makes it a better summary for skewed data like incomes or house prices. The mode is the value that appears most often; a dataset can have one mode, several, or none. This calculator accepts a pasted list of numbers separated by commas, spaces, or line breaks, and also reports the count, sum, and range so you can describe a dataset at a glance.
How it works โ the formula
Mean = ฮฃxแตข รท n
Median = middle of sorted data (avg of two middles if n even)
Mode = value(s) with the highest frequency
Range = max โ minEach measure summarizes the center differently: the mean balances magnitudes, the median balances counts, and the mode reflects frequency.
Worked examples
- Inputs:
- data=2,4,4,4,5,5,7,9
- Output:
- mean 5, median 4.5, mode 4, range 7
- Inputs:
- data=4,8,15,16,23,42
- Output:
- mean 18, median 15.5, no mode
- Inputs:
- data=10,10,20,30
- Output:
- mean 17.5, median 15, mode 10
Limitations
- Mode reporting requires at least one repeated value.
- Mean and range are sensitive to outliers; prefer median for skewed data.
- Treats all entries as a single sample; does not group or weight values.
Descriptive statistics only โ they summarize the data entered, not a wider population.