Question

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?

Answer 1

Given information:

μ= 75 , σ = 5

So,

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%