mu=50, sigma=10 Is the range be approximately 60 if it's normal distribution?

mu=50, sigma=10 Is the range be approximately 60 if it's normal distribution?

Question
Data distributions
asked 2020-12-24
\(\displaystyle\mu={50},\sigma={10}\)
Is the range be approximately 60 if it's normal distribution?

Answers (1)

2020-12-25
It is, sice most of the values are within \(\displaystyle{3}\sigma\) of \(\displaystyle\mu\).
Since this consists of \(\displaystyle{3}\sigma\) below and \(\displaystyle{3}\sigma\) above \(\displaystyle\mu\), the data values are expected to fall in the range of \(\displaystyle{3}\sigma+{3}\sigma={6}\sigma\).
\(\displaystyle\sigma={10}\)
\(\displaystyle{6}\sigma={6}\times{10}={60}\)
The normal distribution is approximately 60.
0

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