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can you give a good example of data that can be model by a normal distribution?...

can you give a good example of data that can be model by a normal distribution? and please explain your argument and how it is a normal distribution.

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Answer #1

Example of Normal distribution-

Suppose, there are 10000 students in an university. Heights of all students form an example of Normal distribution.

Explanation-

Properties of Normal distribution are followed as follows.

  • Height can take any value over certain interval. So, it is a continuous random variable as required in case of Normal distribution.
  • Heights of most of the students cluster around mean value and decreases gradually. There are very few heights which are outlier.
  • In case of Normal distribution, almost 99.73% of the observation values are present within three standard deviation about mean value. In case of observational values of heights, almost these many portion clusters within three standard deviation about mean value.

Hence, heights of all students of an institution can be treated as Normally distributed random variable.

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