Mean, Median, Mode Calculator
Calculate statistical averages.
Input Values
Adjust parameters below
Step-by-Step Solution
How this result was calculated
Data Set (Sorted): [1, 2, 2, 3, 4, 7, 9]
Count (n): 7
Sum (Σx): 28
Mean = Σx / n = 28 / 7 = 4.0000
Median Position: 4
Median Value: 3
Mode: 2 (Frequency: 2)
Range: Max - Min = 9 - 1 = 8
How It Works
Guide and Formula
Measures of Central Tendency
This calculator analyzes a dataset to find three key statistical measures.
Mean (Average)
The sum of all values divided by the count.
Median
The middle value when data is sorted. If the count is even, it's the average of the two middle values.
Mode
The value(s) that appear most frequently in the dataset. A dataset can have multiple modes or no mode.
Additional Statistics
?FAQs
When should I use mean vs median?
Use mean for normally distributed data. Use median when data has outliers or is skewed, as it's not affected by extreme values.
What if there are multiple modes?
A dataset can be bimodal (two modes) or multimodal (more than two). This calculator will show all modes with their frequency.
What does 'no mode' mean?
No mode occurs when all values appear with the same frequency (frequency = 1 for all values).
How do I handle negative numbers?
This calculator handles negative numbers correctly. Just separate all values with commas, including negative signs.