\r\n" );
document.write( "Given 10 sample values\r\n" );
document.write( "9,25,22,14,11,15, 21,19,13,23\r\n" );
document.write( " _\r\n" );
document.write( "Sample mean = x =\r\n" );
document.write( "Sample mode =\r\n" );
document.write( "sample median =\r\n" );
document.write( "sample range =\r\n" );
document.write( "sample standard deviation =\r\n" );
document.write( "\r\n" );
document.write( "Arrange them in order, smallest to largest, \r\n" );
document.write( "\r\n" );
document.write( "9, 11. 13, 14, 15, 19, 21, 22, 23, 25\r\n" );
document.write( "\r\n" );
document.write( "No number appears most, so there is no sample mode.\r\n" );
document.write( "\r\n" );
document.write( "To find the sample median:\r\n" );
document.write( "There is an even number of numbers, so we\r\n" );
document.write( "take the two middle ones 15 and 19, and\r\n" );
document.write( "average them 
= 17\r\n" );
document.write( "Median = 17\r\n" );
document.write( "\r\n" );
document.write( "Sample range:\r\n" );
document.write( "Subtract the smallest value 9 from the largest value 25\r\n" );
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document.write( "Range = 25 - 9 = 16\r\n" );
document.write( "\r\n" );
document.write( "Now we make this array, then total the column of x-values, \r\n" );
document.write( "then divide by 10, the number of numbers. That number is\r\n" );
document.write( "_\r\n" );
document.write( "x , the sample mean.\r\n" );
document.write( " _ _\r\n" );
document.write( " x | x-x | (x-x)² \r\n" );
document.write( " -------------------\r\n" );
document.write( " 9 | | \r\n" );
document.write( " 11 | | \r\n" );
document.write( " 13 | | \r\n" );
document.write( " 14 | | \r\n" );
document.write( " 15 | | \r\n" );
document.write( " 19 | | \r\n" );
document.write( " 21 | | \r\n" );
document.write( " 22 | | \r\n" );
document.write( " 23 | | \r\n" );
document.write( " 25 | | \r\n" );
document.write( " ------ ------ \r\n" );
document.write( " 10)172 ) \r\n" );
document.write( "_ ---- ------- \r\n" );
document.write( "x = 17.2 \r\n" );
document.write( " \r\n" );
document.write( " _\r\n" );
document.write( "Fill in the column with heading x - x by subtracting\r\n" );
document.write( "17.2 from each member of the first column:\r\n" );
document.write( " \r\n" );
document.write( " _ _\r\n" );
document.write( " x | x-x | (x-x)² \r\n" );
document.write( " -------------------\r\n" );
document.write( " 9 |-8.2 | \r\n" );
document.write( " 11 |-6.2 | \r\n" );
document.write( " 13 |-4.2 | \r\n" );
document.write( " 14 |-3.2 | \r\n" );
document.write( " 15 |-2.2 | \r\n" );
document.write( " 19 | 1.8 | \r\n" );
document.write( " 21 | 3.8 | \r\n" );
document.write( " 22 | 4.8 | \r\n" );
document.write( " 23 | 5.8 | \r\n" );
document.write( " 25 | 7.9 | \r\n" );
document.write( " ------ ------ \r\n" );
document.write( " 10)172 ) \r\n" );
document.write( "_ ---- ------- \r\n" );
document.write( "x = 17.2 \r\n" );
document.write( " \r\n" );
document.write( "Don't bother adding that column\r\n" );
document.write( "for you will always get 0.\r\n" );
document.write( " _\r\n" );
document.write( "Square every member in the x-x column\r\n" );
document.write( "and add them up:\r\n" );
document.write( "\r\n" );
document.write( " _ _\r\n" );
document.write( " x | x-x | (x-x)² \r\n" );
document.write( " -------------------\r\n" );
document.write( " 9 |-8.2 | 67.24\r\n" );
document.write( " 11 |-6.2 | 38.44\r\n" );
document.write( " 13 |-4.2 | 17.64\r\n" );
document.write( " 14 |-3.2 | 10.24\r\n" );
document.write( " 15 |-2.2 | 4.84\r\n" );
document.write( " 19 | 1.8 | 3.24\r\n" );
document.write( " 21 | 3.8 | 14.44\r\n" );
document.write( " 22 | 4.8 | 23.04\r\n" );
document.write( " 23 | 5.8 | 33.64\r\n" );
document.write( " 25 | 7.9 | 60.84\r\n" );
document.write( " ------ ------ \r\n" );
document.write( " 10)172 )273.60 \r\n" );
document.write( "_ ---- ------- \r\n" );
document.write( "x = 17.2 \r\n" );
document.write( " \r\n" );
document.write( "Then divide that by 1 less than the\r\n" );
document.write( "number of numbers. Since there are 10\r\n" );
document.write( "numbers, you will divide by 9. That is\r\n" );
document.write( "the variance, s².\r\n" );
document.write( " _ _\r\n" );
document.write( " x | x-x | (x-x)² \r\n" );
document.write( " -------------------\r\n" );
document.write( " 9 |-8.2 | 67.24\r\n" );
document.write( " 11 |-6.2 | 38.44\r\n" );
document.write( " 13 |-4.2 | 17.64\r\n" );
document.write( " 14 |-3.2 | 10.24\r\n" );
document.write( " 15 |-2.2 | 4.84\r\n" );
document.write( " 19 | 1.8 | 3.24\r\n" );
document.write( " 21 | 3.8 | 14.44\r\n" );
document.write( " 22 | 4.8 | 23.04\r\n" );
document.write( " 23 | 5.8 | 33.64\r\n" );
document.write( " 25 | 7.9 | 60.84\r\n" );
document.write( " ------ ------ \r\n" );
document.write( " 10)172 9)273.60 \r\n" );
document.write( "_ ---- ------- \r\n" );
document.write( "x = 17.2 s² = 30.40 \r\n" );
document.write( " \r\n" );
document.write( "Now take the square root of\r\n" );
document.write( "the variance s², and that is\r\n" );
document.write( "the sample standard deviation, s:\r\n" );
document.write( "\r\n" );
document.write( " _ _\r\n" );
document.write( " x | x-x | (x-x)² \r\n" );
document.write( " -------------------\r\n" );
document.write( " 9 |-8.2 | 67.24\r\n" );
document.write( " 11 |-6.2 | 38.44\r\n" );
document.write( " 13 |-4.2 | 17.64\r\n" );
document.write( " 14 |-3.2 | 10.24\r\n" );
document.write( " 15 |-2.2 | 4.84\r\n" );
document.write( " 19 | 1.8 | 3.24\r\n" );
document.write( " 21 | 3.8 | 14.44\r\n" );
document.write( " 22 | 4.8 | 23.04\r\n" );
document.write( " 23 | 5.8 | 33.64\r\n" );
document.write( " 25 | 7.9 | 60.84\r\n" );
document.write( " ------ ------ \r\n" );
document.write( " 10)172 9)273.60 \r\n" );
document.write( "_ ---- ------- \r\n" );
document.write( "x = 17.2 s² = 30.40 \r\n" );
document.write( " s = 
= 5.513619501 \r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" );
document.write( "![\"\"](\"/images/stars/stars-13.gif\")
