Regardless of the actual values of the mean and the standard deviation, any sample that is 2 standard deviations above the mean is placed on (about) the 95th percentile.
This is a true(O) or false(X) question I had to answer and then explain on it but I got the answer wrong from what the solution shows can you look at the question and answer that I had and then the correct solution and point out what I did wrong and then explain how to solve it.
The question and answer that I had:
- Regardless of the actual values of the
mean and the standard deviation, any sample that is 2 standard deviations above the mean is placed on (about) the 95th percentile.
Answer: (O) whole data lie within three standard deviations of mean .
rule is 68-95-99.7
Which means 68% data lie within one standard deviations
95% data lie within two standard deviations
99.7% data lie within three standard deviations
95% data lie within two standard deviations
This was the correct solution: [X] About 95% of the population are (normally) distributed within 2 standard deviations from the mean, leaving just half of it, or 2.5%, more than 2σ above the mean.
Step by step
Solved in 2 steps with 1 images
