A set of sample data has a mean of 62 and a standard deviation of 7. Approximately what percentage of the data is between 41 and 83?

Question

A set of sample data has a mean of 62 and a standard deviation of 7.  Approximately what percentage of the data is between 41 and 83?

zarkon · Answer

Do we know anything about the underlying distribution?

anonymous · Answer

no. but one of the answers is not enough info provided

zarkon · Answer

If we knew that the distribution was bell shaped we could answer the question using the empirical rule.

anonymous · Answer

i think we could assume that it is

zarkon · Answer

99.7%

anonymous · Answer

can you tell me what you did?

zarkon · Answer

41 and 83 are three standard deviation from the mean...empirical rule gives us that we have approx 99.7% of data

zarkon · Answer

41=62-3*7
83=62+3*7