document.write( "Question 1200097: 5. The following questions pertain to some important facts to know about a normal
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document.write( "distribution:
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document.write( "a. What are three important properties of a normal distribution?
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document.write( "b. What percentage of the values are:
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document.write( "i. Within 1 standard deviation of the mean?
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document.write( "ii. Two standard deviations or more above the mean?
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Algebra.Com's Answer #848102 by amarjeeth123(569)![]() ![]() ![]() You can put this solution on YOUR website! Properties of normal distribution\r \n" ); document.write( "\n" ); document.write( "1) The normal curve is bell shaped in appearance.\r \n" ); document.write( "\n" ); document.write( "2) There is one maximum point of normal curve which occur at mean.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3) As it has only one maximum curve so it is unimodal.\r \n" ); document.write( "\n" ); document.write( "4) In binomial and possion distribution the variable is discrete while in this it is continuous.\r \n" ); document.write( "\n" ); document.write( "5) Here mean= median =mode.\r \n" ); document.write( "\n" ); document.write( "6) The total area of normal curve is 1. The area to the left and the area to the right of the curve is 0.5.\r \n" ); document.write( "\n" ); document.write( "7) No portion of curve lies below x-axis so probability can never be negative.\r \n" ); document.write( "\n" ); document.write( "8) The curve becomes parallel to x-axis which is supposed to meet it at infinity.\r \n" ); document.write( "\n" ); document.write( "9) Here mean deviation = 4/5 standard deviation.\r \n" ); document.write( "\n" ); document.write( "10) Quartile deviation = 5/6 mean deviation\r \n" ); document.write( "\n" ); document.write( "11) Quartile deviation : mean deviation : standard deviation\r \n" ); document.write( "\n" ); document.write( " 10 : 12 : 15\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "12) 4 standard deviation = 5 mean deviation = 6 quartile deviation\r \n" ); document.write( "\n" ); document.write( "68% of the data is less than 1 standard deviation away from the mean (1SD). 95% of the data is less than two standard deviations away from the mean. 99.7% of the data is less than three. \n" ); document.write( " |