# Example suppose a data set 80 males of pulse rate of

• Notes
• acande01
• 94

This preview shows page 72 - 81 out of 94 pages.

Example:Suppose a data set (80 males) of pulse rate of males has a meanx= 67.3 beats per minute with the standard deviations= 10.3 beats perminute. Is a data 45 beats per minute unusual?Minimum usual value = 67.3-2×10.3 = 46.7 beats per min.Maximum usual value = 67.3 + 2×10.3 = 87.9 beats per min.Since 45 is less than the minimum usual value 46.7, we consider the data to beunusual.
Interpretation of the standard distribution:Chebyshev’s Theorem and Empirical ruleChebyshev’s Theorem:
Interpretation of the standard distribution:Chebyshev’s Theorem and Empirical ruleChebyshev’s Theorem:Foranyquantitative data, ifxis the mean andsisthe standard deviation, then
Interpretation of the standard distribution:Chebyshev’s Theorem and Empirical ruleChebyshev’s Theorem:Foranyquantitative data, ifxis the mean andsisthe standard deviation, thenI75% of the data is within 2 standard deviation of the mean, i.e. in theinterval (x-2·s,x+ 2·s)
Interpretation of the standard distribution:Chebyshev’s Theorem and Empirical ruleChebyshev’s Theorem:Foranyquantitative data, ifxis the mean andsisthe standard deviation, thenI75% of the data is within 2 standard deviation of the mean, i.e. in theinterval (x-2·s,x+ 2·s)I89% of the data is within 3 standard deviation of the mean, i.e. in theinterval (x-3·s,x+ 3·s)
Interpretation of the standard distribution:Chebyshev’s Theorem and Empirical ruleChebyshev’s Theorem:Foranyquantitative data, ifxis the mean andsisthe standard deviation, thenI75% of the data is within 2 standard deviation of the mean, i.e. in theinterval (x-2·s,x+ 2·s)I89% of the data is within 3 standard deviation of the mean, i.e. in theinterval (x-3·s,x+ 3·s)Empirical rule:
Interpretation of the standard distribution:Chebyshev’s Theorem and Empirical ruleChebyshev’s Theorem:Foranyquantitative data, ifxis the mean andsisthe standard deviation, thenI75% of the data is within 2 standard deviation of the mean, i.e. in theinterval (x-2·s,x+ 2·s)I89% of the data is within 3 standard deviation of the mean, i.e. in theinterval (x-3·s,x+ 3·s)Empirical rule:If we know some more information about the data, forexample, the data is approximatelybell-shaped, then
Interpretation of the standard distribution:Chebyshev’s Theorem and Empirical ruleChebyshev’s Theorem:Foranyquantitative data, ifxis the mean andsisthe standard deviation, thenI75% of the data is within 2 standard deviation of the mean, i.e. in theinterval (x-2·s,x+ 2·s)I89% of the data is within 3 standard deviation of the mean, i.e. in theinterval (x-3·s,x+ 3·s)Empirical rule:If we know some more information about the data, forexample, the data is approximatelybell-shaped, thenI68% of the data is within 1 standard deviation of the mean, i.e. in theinterval (x-s,x+s)
Interpretation of the standard distribution:Chebyshev’s Theorem and Empirical ruleChebyshev’s Theorem:Foranyquantitative data, ifxis the mean andsisthe standard deviation, thenI75% of the data is within 2 standard deviation of the mean, i.e. in theinterval (x-2·s,
• • • 