MindTap Cengage Learning Mozilla Firefox aparentida 84938976

MindTap Cengage Learning Mozilla Firefox aparentida 84938976 Quiz-Chapter 3 According Check My work (No more tries a a to the Chebychevs Theorem, at least what percentage of the observations in data set willie within three standard deviations of the mean? 99.7% c. Check My Work (No more tries awasabl

Solution

If we talk about a normal distribution, then 68%, 95%, 99.7% of the observations will lie around 1, 2 and 3 standard deviation from the mean.

But, the question specifically asks for: What percentage of the observations in data set will lie within three standard deviations from the mean according to Chebychev’s Theorem.

So, the correct answer is 89%. When using the Chebychev’s Theorem.

The formula to calculate the percentage of observaitons lieing within X standard deviation from the mean is: 1 – (1/k²) where K is the standard deviation.

I hope my solution solves your query.