document.write( "Question 46744: 6. Using the following distribution of scores and the standard deviation formula of:\r
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\n" ); document.write( "\n" ); document.write( "where: s = standard deviation
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\n" ); document.write( " n = number of scores\r
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\n" ); document.write( "\n" ); document.write( "fill in the missing values (worth 70 points):
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\n" ); document.write( " score deviation (x – mean) (x – mean)2
\n" ); document.write( "student 1: 55 ______ ______ ______
\n" ); document.write( "student 2: 60 ______ ______ ______
\n" ); document.write( "student 3: 62 ______ ______ ______
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\n" ); document.write( "student 5: 100 ______ ______ ______
\n" ); document.write( "student 6: 90 ______ ______ ______
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\n" ); document.write( " ∑x = ____\r
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\n" ); document.write( "\n" ); document.write( "standard deviation = _____
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Algebra.Com's Answer #30941 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!
6. Using the following distribution of scores and the\r\n" );
document.write( "standard deviation formula of:\r\n" );
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document.write( "		s = √∑(x-mean)˛/(n-1) \r\n" );
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document.write( "where: s = standard deviation\r\n" );
document.write( "            x = individual’s score\r\n" );
document.write( "            n = number of scores\r\n" );
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document.write( "fill in the missing values (worth 70 points):     \r\n" );
document.write( "                                        _          _\r\n" );
document.write( "             score     deviation = (x – x)    (x – x)˛\r\n" );
document.write( "student 1:    55       __________________      _______\r\n" );
document.write( "student 2:    60       __________________      _______\r\n" );
document.write( "student 3:    62       __________________      _______\r\n" );
document.write( "student 4:    43       __________________      _______\r\n" );
document.write( "student 5:   100       __________________      _______\r\n" );
document.write( "student 6:    90       __________________      _______\r\n" );
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document.write( " ∑x = ____\r\n" );
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document.write( "           n = ____\r\n" );
document.write( "           _\r\n" );
document.write( "    mean = x = _____\r\n" );
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document.write( "standard deviation = _____\r\n" );
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document.write( "Add the scores and get ∑x = 410\r\n" );
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document.write( "Count the scores and get n = 6\r\n" );
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document.write( "Divide 410 by 6 and get mean = x = 68.33333333\r\n" );
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document.write( "Subtract this from each score to get the deviations\r\n" );
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document.write( "  x - x\r\n" );
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document.write( " 55 - 68.33333333 = -13.33333333\r\n" );
document.write( " 60 - 68.33333333 =  -8.33333333\r\n" );
document.write( " 62 - 68.33333333 =  -6.33333333\r\n" );
document.write( " 43 - 68.33333333 = -25.33333333\r\n" );
document.write( "100 - 68.33333333 =  31.66666667\r\n" );
document.write( " 90 - 68.33333333 =  21.66666667\r\n" );
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document.write( "Square each of those to get (x - x)˛\r\n" );
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document.write( "(-13.33333333)˛ =  177.7777778\r\n" );
document.write( " (-8.33333333)˛ =   69.4444444\r\n" );
document.write( " (-6.33333333)˛ =   40.1111111\r\n" );
document.write( "(-25.33333333)˛ =  641.7777778\r\n" );
document.write( " (31.66666667)˛ = 1002.7777778\r\n" );
document.write( " (21.66666667)˛ =  469.4444444\r\n" );
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document.write( "Add those to get ∑(x - x)˛ = 2401.333333\r\n" );
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document.write( "Divide by n-1, that is, by 6-1 which is 5\r\n" );
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document.write( "Divide by 5 and that's the variance, s˛ = 480.2666667\r\n" );
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document.write( "Take the square root of the variance to find\r\n" );
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document.write( "standard deviation = s = 21.91498726 \r\n" );
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document.write( "Edwin

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