# Question: A data set has a mean of 500 and a

A data set has a mean of 500 and a standard deviation of 25.

a. Using Chebyshev’s theorem, find the interval that encompasses at least 75% of the data.

b. Using Chebyshev’s theorem, find the interval that encompasses at least 89% of the data.

a. Using Chebyshev’s theorem, find the interval that encompasses at least 75% of the data.

b. Using Chebyshev’s theorem, find the interval that encompasses at least 89% of the data.

**View Solution:**## Answer to relevant Questions

Data are drawn from a bell-shaped distribution with a mean of 20 and a standard deviation of 2.a. What percentage of the observations fall between 18 and 22?b. What percentage of the observations fall between 16 and 24?c. ...An investment strategy has an expected return of 8 percent and a standard deviation of 6 percent. Assume investment returns are bell shaped.a. How likely is it to earn a return between 2 percent and 14 percent?b. How likely ...The following relative frequency distribution was constructed from a sample of 50. Calculate the sample mean, the sample variance, and the sample standard deviation. Class .... Relative Frequency0 up to 2 ... 0.342 up to 4 ...The following table shows the annual returns (in percent) for T-Rowe Price’s Value and International Stock funds for the time period 2005–2009.a. Calculate and interpret the covariance between the returns.b. Calculate ...The manager at a water park constructed the following frequency distribution to summarize attendance for 60 days in July and August.Attendance ...... Frequency1,000 up to 1,250 ..... 51,250 up to 1,500 ..... 61,500 up to ...Post your question