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Historical data is characterized by the following: the mean is the most likely; the values could...

Historical data is characterized by the following: the mean is the most likely; the values could as likely be above the mean as it could be below the mean; the value is more likely to be in the vicinity of the mean than further away. Which of the following distributions would most likely be used for this data:

Triangular distribution

Exponential distribution

Discrete distribution

Normal distribution

Binomial distribution

math   Statistics-And-Probability   
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Answer #1

The most likely distribution is normal. Because it is symmetric and has the highest density at mean. Moreover, 99.73% values lie within the 3 sigma limits around mean.

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