Explanation 1
The mean uses every distance from the center.
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Lesson 2 of 15
Compare common measures of center and explain how skewness, repeated values, and extremes affect them.
Theory
Compare common measures of center and explain how skewness, repeated values, and extremes affect them. The examples in this lesson use fictional STATLAB Academy business data and independently written explanations.
Explanation 1
The mean uses every distance from the center.
Explanation 2
The median is based on sorted position.
Explanation 3
The mode may be absent or non-unique.
Notation and formulas
x-bar = sum(x_i) / n
Compare common measures of center and explain how skewness, repeated values, and extremes affect them.
Interactive Mission
Mean
15.7
Uses every distance
Median
15.0
Uses sorted position
Mode
14
Most frequent
Balancing point: the mean is 15.7. The signed distances from it sum to approximately zero.
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
Calculate and compare mean, median, mode, and sorted values for fictional learner performance data.
Ready to run
Worked example
Scenario
A fictional training organization needs to use mean, median, and mode to support an operational decision.
The best summary is the one that fits the question, data structure, units, and distribution.
Interpretation safeguard
Do not choose a center measure from habit; choose it for the variable, shape, and decision.
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 Mean, Median, and Mode 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%.