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?

Answer 1

Do we know anything about the underlying distribution?

Answer 2

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

Answer 3

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

Answer 4

i think we could assume that it is

Answer 5

99.7%

Answer 6

can you tell me what you did?

Answer 7

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

Answer 8

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