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Data are drawn from a bell-shaped distribution with a mean of 75 and a standard deviation...

Data are drawn from a bell-shaped distribution with a mean of 75 and a standard deviation of 5.

Using Chebyshev's theorem, Approximately what percentage of the observations are less than 65?

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Answer #1

Given information:

μ= 75 , σ = 5

So,

μ 20 75土10 (65:85)

According to Chebyshev's theorem at least 75% data values lies in the interval (65, 85). That is at most 25% data values lie outside the interval. Since distribution is bell shaped so approximately 25% / 2 = 12.5% of the observations are less than 65.

Answer: 12.5%

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