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    Normal distribution analysis

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    Maximum and Minimum Temperatures

    Search the Internet for U.S. climate data.

    Choose the city in which you live.

    Click on the tab that reads "Daily."

    1. Prepare a spreadsheet with three columns: Date, High Temperature, and Low Temperature. List the past 60 days for which data is available.

    2. Prepare a histogram for the data on high temperatures and comment on the shape of the distribution as observed from these graphs.

    3. Calculate  and S.

    4. What percentage of the high temperatures are within the interval  - S to  + S?

    5. What percentage of the high temperatures are within the interval  - 2S to  + 2S?

    6. How do these percentages compare to the corresponding percentages for a normal distribution (68.26% and 95.44%, respectively)?

    7. Repeat Parts 2 to 6 for the minimum temperatures on your spreadsheet.

    8. Would you conclude that the two distributions are normally distributed? Why or why not?

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    Solution Summary

    Normal distribution analysis of temperature data is provided. The percentage of the high temperature within the intervals are determined.