Mean, Median, Mode Calculator
A mean, median, and mode calculator computes central tendency statistics, sum, range, and count from any entered list of numbers. It finds the mathematical average (mean), central ordered value (median), and most frequent number (mode), showing that for {2, 4, 4, 8, 12}, the mean is 6.
By Daniel Okoro (Mathematics Editor) · Reviewed by Maya ChenUpdated · Published
10 data points entered
Load Sample:
MEAN (AVERAGE)
Median midpoint is 8.00, Mode frequency is 8.
Sample Std Dev (s):3.433
Variance (s²):11.79
Range (Max - Min):11
Sum (Σx):77
How Does the Mean Median Mode Calculator Work?
- Enter numbers separated by commas, spaces, or lines.
- The calculator sorts the dataset in ascending order.
- Computes the mean, median, mode, minimum, maximum, and range.
What Is the Mean Median Mode Formula?
Mean = (Σx) / n ; Median = Middle value in sorted set
Sum of all values divided by count, and central positional value.
Variables
Σx:Sum of all dataset values
n:Total count of observations
How Do You Calculate Mean Median Mode Step by Step?
Analyzing dataset: 4, 8, 6, 5, 3, 8, 9Data: 4, 8, 6, 5, 3, 8, 9
Sorted: 3, 4, 5, 6, 8, 8, 9 (Count = 7)
Sum = 43. Mean = 43 ÷ 7 = 6.14
Median = 6 (middle 4th value)
Mode = 8 (appears twice)
Range = 9 - 3 = 6
Final Solution:Mean: 6.14, Median: 6, Mode: 8
Mean vs median vs mode
| Average | What it is | Skewed by outliers? |
|---|---|---|
| Mean | Sum divided by count | Yes |
| Median | Middle value when sorted | No |
| Mode | Most frequent value | No |
Mean Median Mode Questions and Answers
When the count is even, the median is the arithmetic average of the two middle numbers.
Where Do These Mean Median Mode Standards Come From?
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