Mean Median Mode MAD Calculator

Statistical Formulas:

Mean: μ = Σx / N
Median: Middle value
Mode: Most frequent value
MAD: Σ|x - μ| / N

Mean (μ):

Median:

Mode:

Mean Absolute Deviation (MAD):

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1. What is a Mean Median Mode MAD Calculator?

Definition: This calculator computes four fundamental statistical measures from a set of numbers.

Purpose: It helps students, researchers, and professionals quickly analyze data distributions.

2. How Does the Calculator Work?

The calculator uses these formulas:

Mean: μ = Σx / N
Median: Middle value
Mode: Most frequent value
MAD: Σ|x - μ| / N

Where:

μ — Mean (average value)
Σx — Sum of all values
N — Number of values
Median — Middle value when sorted
Mode — Most frequently occurring value(s)
MAD — Mean Absolute Deviation (average distance from mean)

3. Importance of These Statistical Measures

Details: These measures help understand data central tendency (mean, median, mode) and variability (MAD).

4. Using the Calculator

Tips: Enter numbers separated by commas (e.g., 5, 8, 2, 4, 5). The calculator will ignore non-numeric values.

5. Frequently Asked Questions (FAQ)

Q1: When should I use median instead of mean?
A: Use median when your data has outliers that might skew the mean.

Q2: What if there are multiple modes?
A: The calculator will show all modes separated by commas.

Q3: How is MAD different from standard deviation?
A: MAD uses absolute differences (more robust to outliers) while standard deviation squares differences.

Q4: What if I enter non-numeric values?
A: The calculator will automatically filter them out.

Q5: How many numbers can I enter?
A: There's no strict limit, but extremely large datasets may slow processing.