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Biostatistics and Variation
Concepts tested here
- Normal distribution curve
All Questions
2007 AIPMT-PRE 1 question
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If the mean and the median pertaining to a certain character of a population are of the same value, which of the following is most likely to occurThe mean is the arithmetic average of all the values, and the median is the middle value when the values are arranged in order.
In a normal distribution the values are distributed symmetrically on both sides of the central value, giving a bell-shaped curve.
Because of this symmetry, the mean, the median and the mode coincide in a normal distribution.
In a skewed curve the distribution is not symmetrical, and the mean is pulled towards the longer tail, so the mean and the median differ.
A bi-modal distribution has two peaks, and a T-shaped curve is not a frequency distribution of this kind.
Many characters of a population, such as height, show this kind of continuous variation.
So when the mean and the median have the same value, a normal distribution is most likely.