14.What is the range of the center 50% of the batting average? 13. How high most players batting average be to fall in the top 25%? 16. What percentage of the batting averages are below 0.95? 15. What percentage of the batting averages fall between 0.228 and 0.294? 

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14.What is the range of the center 50% of the batting average? 13. How high most players batting average be to fall in the top 25%? 16. What percentage of the batting averages are below 0.95? 15. What percentage of the batting averages fall between 0.228 and 0.294? 
The distribution of batting averages for all Major League Baseball players very closely follows a normal
distribution, with a population mean of 0.261 and a standard deviation of 0.033,
The 68-95-99.7 Rule for Normal Distributions
According to the 68-95-99,7 rule, in any normal distribution:
RULE
Quartiles of a Normal Distribution
About 68% of the observations fall within
About 95% of the observations fall within 2 standard deviations of the mean.
About 99.7% of the observations fall within 3 standard deviations of the
DEFINITION
The quartiles of a normal distribution are located about 0.67 (which is about
2/3) of a standard deviation away from the mean. In particular, the first quartile is
located at 0.67 standard deviation below the mean, and, by symmetry, the third
quartile is located at 0.67 standard deviation above the mean.
standard deviation of the mean.
mean.
14. What is the range of the center 50% of
the batting averages?
13. How high must a player's batting average be to fall
in the top 25%?
16. What percentage of the batting averages
are below 0.195?
15. What percentage of the batting averages fall
between 0.228 and 0.294?
10. Draw
frequency dis.
wtlies
Transcribed Image Text:The distribution of batting averages for all Major League Baseball players very closely follows a normal distribution, with a population mean of 0.261 and a standard deviation of 0.033, The 68-95-99.7 Rule for Normal Distributions According to the 68-95-99,7 rule, in any normal distribution: RULE Quartiles of a Normal Distribution About 68% of the observations fall within About 95% of the observations fall within 2 standard deviations of the mean. About 99.7% of the observations fall within 3 standard deviations of the DEFINITION The quartiles of a normal distribution are located about 0.67 (which is about 2/3) of a standard deviation away from the mean. In particular, the first quartile is located at 0.67 standard deviation below the mean, and, by symmetry, the third quartile is located at 0.67 standard deviation above the mean. standard deviation of the mean. mean. 14. What is the range of the center 50% of the batting averages? 13. How high must a player's batting average be to fall in the top 25%? 16. What percentage of the batting averages are below 0.195? 15. What percentage of the batting averages fall between 0.228 and 0.294? 10. Draw frequency dis. wtlies
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