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Mean Absolute Deviation for Five Values — result sheet
Calculate the mean, mean absolute deviation, and largest absolute deviation for five observations.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: mean = Σx/n; MAD = Σ|x-mean|/n.
Mean absolute deviation keeps every observation in the same original unit and averages its absolute distance from the arithmetic mean. It is easy to interpret but does not use squared deviations.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Observation 1 — minimum -1000000000; maximum 1000000000
- Observation 2 — minimum -1000000000; maximum 1000000000
- Observation 3 — minimum -1000000000; maximum 1000000000
- Observation 4 — minimum -1000000000; maximum 1000000000
- Observation 5 — minimum -1000000000; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| Observation 1 | 4 |
| Observation 2 | 7 |
| Observation 3 | 9 |
| Observation 4 | 10 |
| Observation 5 | 15 |
Mean: 9; mean absolute deviation: 2.8; largest absolute deviation: 6.
Assumptions and limits
- Exactly five numeric observations are supplied and each has equal weight.
- The deviation center is the arithmetic mean, not the median; changing the center changes the statistic.
- The result is descriptive and does not estimate a population parameter without a sampling interpretation.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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