html - Javascript Range, Variance, and Standard Deviation Functions -


so, i've been tasked few calculations , build custom js statistics library. 3 things have left create functions range, variance, , standard deviation. i'm doing here passing array (x) js functions, keep coming blank. doing wrong?

function findsum(x)  {  	var sum = 0;  	for(i = 0; < x.length; i++)  	{  		sum = sum + x[i];  	}  	return sum;  };    function findmean(x)  {  return findsum(x) / x.length;  };    function findmedian(x)   {      x.sort( function(a,b) {return - b;} );        var half = math.floor(x.length/2);        if(x.length % 2)          return x[half];      else          return (x[half-1] + x[half]) / 2.0;  }    // ascending functions sort  function ascnum(a, b) { return - b; }    function clip(arg, min, max) {    return math.max(min, math.min(arg, max));  };      function findmode(x)   {    var arrlen = x.length;    var _arr = x.slice().sort(ascnum);    var count = 1;    var maxcount = 0;    var nummaxcount = 0;    var mode_arr = [];    var i;      (i = 0; < arrlen; i++) {      if (_arr[i] === _arr[i + 1]) {        count++;      } else {        if (count > maxcount) {          mode_arr = [_arr[i]];          maxcount = count;          nummaxcount = 0;        }        // there multiple max counts        else if (count === maxcount) {          mode_arr.push(_arr[i]);          nummaxcount++;        }        // resetting count new value in array        count = 1;      }    }      return nummaxcount === 0 ? mode_arr[0] : mode_arr;  };    function findrange(x)  {  	x.sort( function (a, b) {return a-b;} );  }    function findvariance(x) {  		var mean = findmean(x);  		return findmean(array.map(findsum(sum)) {  			return math.pow(sum - mean, 2);  		}));  	},  	  function findstandarddeviation(x)   {  		return math.sqrt(findvariance(x));  };

the html code:

    <html>     <head>     <h1>statistical calculations</h1>      <title>calculating stats</title>     <link rel="stylesheet" type="text/css" href="style.css">     <script src='stats.js'></script>     <script language="javascript">     function addnumber()     {         var input = document.getelementbyid('input').value;         var list = document.getelementbyid('list');         var option = document.createelement('option');         list.options.add(option);         option.text = input;     }      function getstatistics()     {         var list = new array();         var select = document.getelementbyid('list');         for(i = 0; < select.options.length; i++)         {             list[i] = parseint(select.options[i].text);         }         document.getelementbyid('summation').value =findsum(list);         document.getelementbyid('mean').value = findmean(list);         document.getelementbyid('median').value = findmedian(list);         document.getelementbyid('mode').value = findmode(list);         document.getelementbyid('variance').value = findvariance(list);         document.getelementbyid('standarddev').value = findstandarddeviation(list);         document.getelementbyid('range').value = findrange(list);         document.getelementbyid('max').value = findmax(list);         document.getelementbyid('min').value = findmin(list);     }     </script>     </head>     <body>     <table>     <tr>         <td>input number:</td><td><input type='text' id='input'></td>     </tr>     <tr>         <td colpsan='2'><input type='button' value='add number' onclick='addnumber()'></td>     </tr>     <tr>         <td colspan='2'>             <select id='list' size='5'>             </select>         </td>     </tr>         <tr>                 <td colpsan='2'><input type='button' value='calculate!' onclick='getstatistics()'></td>         </tr>         <tr>                 <td>summation:</td><td><input type='text' id='summation' readonly></td>         </tr>         <tr>                 <td>mean:</td><td><input type='text' id='mean' readonly></td>         </tr>     <tr>                 <td>median:</td><td><input type='text' id='median' readonly>    </td>         </tr>     <tr>                 <td>mode:</td><td><input type='text' id='mode' readonly></td>         </tr>     <tr>                         <td>max:</td><td><input type='text' id='max' readonly></td>         </tr>     <tr>                         <td>min:</td><td><input type='text' id='min' readonly></td>         </tr>       <tr>                 <td>range:</td><td><input type='text' id='range' readonly></td>         </tr>     <tr>                 <td>variance:</td><td><input type='text' id='variance' readonly></td>         </tr>     <tr>                 <td>standard deviation:</td><td><input type='text' id='standarddev' readonly></td>         </tr>   </table> </body> </html> 

the last 3 seem absolutely nothing, , i've been bashing head in last few days trying figure out. if sort functions out working order, it'd appreciated! i'm sure array has been passing functions correctly, seeing first 4 functions worked.