No matter what the mean and standard deviation is for a normal distribution, if we take one standard deviation away from the mean (below and above) this covers approximately 68%. True False

% of all data lies within one standard deviation to the left of mean  % of all data lies with two standard deviation to the right of mean

Running speed for adult men of a certain age group is known to follow a normal distribution, with mean 5 miles per hour and standard deviation 0.8. Jim claims he run faster than 80% of adult men in this age group. What speed would he need to be able to run for this to be the case? Give your answer accurate to two digits past the decimal point.

It is often quoted that in a normal distribution, 95% of the data lies 1.96 deviations either side of the mean. How many deviations from the mean would 88 percent lie?