Average Absolute Deviation Calculator

Separated by commas, spaces or new lines.
Mean absolute deviation
1.500000
Mean Absolute Deviation Calculator
Centre used
5.000000
Mean
5.000000
Median
4.500000
Mean absolute deviation about the mean
1.500000
Mean absolute deviation about the median
1.500000
Median absolute deviation
0.500000
Sum of the absolute deviations
12.000000
Number of values
8
Population standard deviation, for comparison
2.000000
Summary
Mean absolute deviation about the mean (5) is 1.5 across 8 values.
Worked out from NIST/SEMATECH e-Handbook of Statistical Methods, ยง1.3.5 Measures of scale and 1 other source.

How this is worked out

4 steps
  1. Mean = 5 from 8 values.
  2. Absolute deviations: 3, 1, 1, 1, 0, 0, 2, 4.
  3. Sum = 12; divided by n = 8 gives 1.5.
  4. For comparison, the population standard deviation is 2, larger because squaring weights the far points more heavily.
Absolute deviationstable
3, 1, 1, 1, 0, 0, 2, 4

Results are general information, not financial, tax, legal, medical or engineering advice.