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Question

If the mean and the median pertaining to a certain character of a population are of the same value, the following is most likely to occur?

A
A bi-modal distribution
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B
A T-shaped curve
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C
A skewed curve
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D
A normal distribution
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Solution

The correct option is A A bi-modal distribution
In statistics, a bimodal distribution is a continuous probability distribution with two different modes. These appear as distinct peaks in the probability density functions. If the distribution is symmetric then the mean is equal to the median and the distribution will have zero skewness. Since bimodal distribution is symmetric both mean and mode fall in the center but it has two modes.
So the correct answer is option A "bimodal distribution".

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