In a moderately asymmetrical distribution, the value of mean is 75 and the value of mode is 60:
A)75
B)70
C)85
D)80

Question

Quizplus · Accepted Answer

In a moderately asymmetrical (skewed) distribution, the mean, median, and mode do not coincide. The empirical relationship among these measures for a moderately skewed distribution is Mode + (Mean - Mode) * 3 ≈ Median. Given the mean is 75 and the mode is 60, the median (which is not directly given but can be inferred to be closer to the mean than the mode in a skewed distribution) would logically be between 60 and 75. Since none of the options directly match this calculation and considering the nature of the distribution, the best estimate given the options would be 70, as it is the only value between the mean and the mode.

In a Moderately Asymmetrical Distribution, the Value of Mean Is