Question
Download Solution PDFFor a normal distribution, which of the following is true?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation
Normal distributiln = A normal distribution comes with a perfectly symmetrical shape that means distribution curve can divided in the middle to produce two equal halves.
The normal distribution function is denotted by
\(f\left( x \right) = \frac{1}{{\sigma \sqrt {2\pi } }}{e^{ - \frac{1}{2}}}{\left( {\frac{{x - \mu }}{\sigma }} \right)^2}\)
f(x) = Probability density function
σ = Standard deviation
μ = Mean
In normal distribution the symmetry about the center and in it the mean = medan = mode = μ
∴ The mean = medan = mode = μ in normal distribution
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