# The following data set represents a recent set of test scores in a Chemistry Class.

90, 90, 95, 100, 80, 80, 75, 80, 70, 60, 95, 100, 100, 100, 75, 80, 90, 90, 90, 70, 70, 80, 85, 90, 90, 85

Use a statistics calculator (Links to an external site.) to find the mean and standard deviation (round to nearest tenth) of the data set.

Mean:
Sample Standard Deviation:

Sketch out the following diagram to help you solve the problem and label the mean and three standard deviations from the mean in both directions.

Use the diagram above, and the mean and standard deviation you calculated to answer the following questions using the empirical rule.

a) How many students in the chemistry class (meaning how many of the 26 students) scored within 1 Standard Deviation of the mean? How does this compare to what the Empirical Rule says should happen?

b) How many students in the chemistry class (meaning how many of the 26 students) scored within 2 Standard Deviation of the mean? How does this compare to what the Empirical Rule says should happen?

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