Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve.
Example Problems
Tom took 4 exams. His mean was and his standard deviation was . What scores did Tom receive on his exams?
a. Write two sets of 5 different numbers that have the same mean but different standard deviations.
b. Write two sets of 5 different numbers that have the same standard deviations but different means.
b. Write two sets of 5 different numbers that have the same standard deviations but different means.
You have recorded the matches won by all 5 players on your tennis team this season:
What is the standard deviation of the matches won? Round your answer to the nearest tenth.
What is the standard deviation of the matches won? Round your answer to the nearest tenth.
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