The empirical relationship between the three measures of central tendency is:
$3 \text{ Median} = \text{Mode} + 2 \text{ Mean}$
$\text{Mode} = 3 \text{ Mean} + 2 \text{ Median}$
$\text{Mean} = 3 \text{ Median} + 2 \text{ Mode}$
$3 \text{ Mean} = \text{Mode} + 2 \text{ Median}$
Step-by-Step Solution
Key Concept: Standard empirical formula relating Mean, Median, and Mode.
Stepwise Solution:
The empirical relationship is $3 \text{ Median} = \text{Mode} + 2 \text{ Mean}$. [1.0 Mark]
Marking Scheme:
• Recalling empirical formula $3 \text{ Median} = \text{Mode} + 2 \text{ Mean}$: 1.0 Mark
Correct Answer: $3 \text{ Median} = \text{Mode} + 2 \text{ Mean}$