Explanation 1
MAD averages absolute distances from the mean.
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Lesson 5 of 15
Compare absolute and relative consistency using MAD, standard deviation, and coefficient of variation.
Theory
Compare absolute and relative consistency using MAD, standard deviation, and coefficient of variation. The examples in this lesson use fictional STATLAB Academy business data and independently written explanations.
Explanation 1
MAD averages absolute distances from the mean.
Explanation 2
CV scales standard deviation by the mean.
Explanation 3
Absolute and relative measures answer different questions.
Notation and formulas
CV = (s / x-bar) * 100%
Compare absolute and relative consistency using MAD, standard deviation, and coefficient of variation.
Interactive Mission
Mean
100.0
SD
1.6
CV
1.6%
Mean
10.0
SD
1.6
CV
15.8%
Standard deviation compares absolute spread. CV compares spread relative to a meaningful positive mean.
R connection
Run and edit the code, inspect printed output, and use the movable R Code Guide for line-by-line help.
Live R Lab
Compare absolute and relative variability for fictional processes with different means.
Ready to run
Worked example
Scenario
A fictional training organization needs to use relative variability and mean absolute deviation to support an operational decision.
The best summary is the one that fits the question, data structure, units, and distribution.
Interpretation safeguard
CV can be misleading for interval scales or means near zero or below zero.
Dataset provenance
Original synthetic data generated for STATLAB Academy. No textbook data used.
Reflection
Name the question, data structure, units, chosen method, and one limitation.
Assistant
Coach me through Relative Variability and Mean Absolute Deviation without giving direct quiz answers or writing my final report. Ask me to justify assumptions, units, and interpretation.
Exit check
Use a hint before checking if needed. Explanations appear only after an answer is submitted.
Checkpoint
Question 1 of 2. Answered 0/2. Passing score: 70%.