When the frequency distribution is normal
Reviewed by Dalvoy
UPSC Civil Services preparation
- Amedian, mode and mean are all different from one another
- Bmean, mode and median are identicalCorrect
- Cmean is greater than mode
- Dmean is greater than median
Explanation
In a normal distribution, also known as a bell shaped curve, the data is perfectly symmetrical around the center. Because the distribution is balanced and not skewed to either side, the highest point of the curve represents the most frequent value which is the mode, the exact middle value which is the median, and the average value which is the mean. Therefore, in a perfectly normal distribution, the mean, median, and mode all coincide at the same central point and are identical.

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