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anonymous

  • one year ago

STATISTICS: In a study of 500 men, diastolic blood pressure was found to be approx. normally distributed, with a mean of 82mm of mercury and a standard deviation of 10mm. Question: Use the 68-95-99.7% rule to determine what percentage of the test group had a diastolic pressure between 72mm and 92mm of mercury.

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  1. jim_thompson5910
    • one year ago
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    draw the normal bell curve |dw:1444168819721:dw|

  2. jim_thompson5910
    • one year ago
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    at the center is the mean 82 |dw:1444168888474:dw|

  3. jim_thompson5910
    • one year ago
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    plot 72 and 92 on there as well |dw:1444168948036:dw|

  4. jim_thompson5910
    • one year ago
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    with me so far?

  5. anonymous
    • one year ago
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    yes!

  6. jim_thompson5910
    • one year ago
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    how far is 72 from 82?

  7. anonymous
    • one year ago
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    10

  8. jim_thompson5910
    • one year ago
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    yes, and because we have a `standard deviation of 10mm`, this means that 72 is ONE full standard deviation away from the mean |dw:1444169140982:dw|

  9. jim_thompson5910
    • one year ago
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    92 is also ten units away from the mean of 82 92 is 1 standard deviation away from the mean |dw:1444169186031:dw|

  10. jim_thompson5910
    • one year ago
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    the `68-95-99.7% rule`says that roughly 68% of the entire distribution is within 1 standard deviation. This shaded region has an area of roughly 0.68 |dw:1444169247011:dw|

  11. jim_thompson5910
    • one year ago
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    `68-95-99.7% rule` or `empirical rule` http://www.oswego.edu/~srp/stats/6895997.htm

  12. anonymous
    • one year ago
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    Ahh, thank you so much! @jim_thompson5910

  13. jim_thompson5910
    • one year ago
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    no problem

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