If for a sample data Mean

Question

If for a sample data Mean < Median < Mode then the distribution is

Accepted Answer

The correct answer is D) skewed to the left. Explanation: In statistics, the relationship between the Mean, Median, and Mode indicates the shape of a distribution: 1. Symmetric Distribution: If the distribution is perfectly symmetric (like a normal distribution), then Mean = Median = Mode. 2. Skewed to the Right (Positively Skewed): If the distribution has a longer tail on the right side, the Mean is pulled towards the higher values, so Mean > Median > Mode. 3. Skewed to the Left (Negatively Skewed): If the distribution has a longer tail on the left side, the Mean is pulled towards the lower values, so Mean < Median < Mode. Given the condition Mean < Median < Mode, this perfectly matches the definition of a distribution that is skewed to the left. Analysis of Options: A) symmetric: Incorrect, as this would imply Mean = Median = Mode. B) skewed to the right: Incorrect, as this would imply Mean > Median > Mode. C) neither symmetric nor skewed: Incorrect, as the given relationship clearly indicates a skewed distribution. D) skewed to the left: Correct, as Mean < Median < Mode is the characteristic of a left-skewed distribution.

Answer

symmetric

Answer

skewed to the right

Answer

neither symmetric nor skewed

Answer

skewed to the left

If for a sample data Mean < Median < Mode then the distribution is

Explanation

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