Answer: Mean - Mode = 3(Mean - Median).
- A Mode = Mean + 2 Median
- B Mean - Mode = 3(Mean - Median)
- C Mode = 2 Mean - 3 Median
- D Median = Mean - Mode
Correct answer: B. Mean - Mode = 3(Mean - Median)
Explanation: Empirical formula: Mean - Mode = 3(Mean - Median). Or Mode = 3 Median - 2 Mean.
In a perfectly normal (bell-shaped) distribution, mean, median, and mode all coincide at the centre; about 68% of data falls within 1 standard deviation of the mean, 95% within 2, and 99.7% within 3 - the empirical rule used to judge how typical or extreme a value is.
Concept context
Mean, median, mode, standard deviation, and data interpretation