document.write( "Question 1189188: https://docs.google.com/document/d/1F8XKL3Lw7pb2tatTq5xHkbXEclumn-b3lRTjzp2QXMQ/edit?usp=sharing\r
\n" ); document.write( "\n" ); document.write( "How could I solve this quickly, without having to plug each midpoint interval so many times? \n" ); document.write( "
Algebra.Com's Answer #820480 by ikleyn(53937)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Frequency distribution table shows how many times \"n%5Bi%5D\" would you expect \r\n" );
document.write( "appearing of some value \"x%5Bi%5D\" of discrete random variable X through the N experiments. \r\n" );
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document.write( "Frequency distribution table has two arrays: \"x%5Bi%5D\"  and \"n%5Bi%5D\".\r\n" );
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document.write( "To find the mean  \" m \",  use the formula  m = \"%281%2FN%29%2Asum%28x%5Bi%5D%2An%5Bi%5D%2C+i=1%2CN%29\". \r\n" );
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document.write( "To find the standard deviation \" d \",  use the formula  d = \"sqrt%28%28sum%28n%5Bi%5D%2A%28x%5Bi%5D-m%29%5E2%2Ci=1%2CN%29%29%2FN%29\".\r\n" );
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\n" ); document.write( "\n" ); document.write( "As a reference,  see this link\r
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\n" ); document.write( "\n" ); document.write( "http://sceo.archives.math.ca/edu/power-pouvoir/ch12/5214891-eng.htm\r
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\n" ); document.write( "\n" ); document.write( "For an appropriate ONLINE standard deviation calculator for data given as a frequency table,  see the link\r
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\n" ); document.write( "\n" ); document.write( "https://www.hackmath.net/en/calculator/standard-deviation\r
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