PRC-2 · Chapter 8 · Question 50 of 60
In a moderately skewed frequency distribution, Karl Pearson's empirical relationship between the Mean, Median, and Mode is mathematically defined as:
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: A) Mode = 3(Median) - 2(Mean)
Explanation
Pearson's empirical formula states that Mean - Mode = 3(Mean - Median). By rearranging this algebraically, we get the frequently utilized formulation: Mode = 3(Median) - 2(Mean).
More Statistical Measures of Data MCQs
- Q52To properly calculate the average annual compounding rate of inflation over a consecutive ten-year period, a statistician must strictly…
- Q53When calculating the exact average speed of a train that travels multiple distinct, equal-distance segments at different speeds, which…
- Q54If a dataset's arithmetic mean is strictly lower than its median, and the median is strictly lower than the mode (Mean < Median < Mode)…
- Q55Which of the following graphical tools is generally utilized to visually estimate the Median of a grouped frequency distribution?
- Q56If every single observation in a dataset is systematically multiplied by a constant factor of 3, what mathematical effect will this have…