Question

For a positively skewed frequency distribution, ,...............

• A. Mean>Median>Mode
• B. Mean<Median<Mode
• C. Mode>Mean>Median
• D. Median>Mode>Mean

Hint:

For skewed distributions, the order of central tendency is always: Mean>Median>Mode in positively skewed and Mode>Median>Mean in negatively skewed distributions.

Answer 1

The Correct Option is A

In a positively skewed distribution (right-skewed), the tail of the distribution is longer on the right side. This causes the mean to be greater than the median, which is in turn greater than the mode. The general rule for skewed distributions is:
- In a positively skewed distribution, the mean is pulled towards the right tail, making it greater than both the median and mode.
- The mode is the least affected by extreme values and remains the smallest.
Therefore, for a positively skewed frequency distribution: \[ \boxed{\text{Mean>Median>Mode}} \] Final Answer: \[ \boxed{\text{Mean>Median>Mode}} \]