Saturday, 26 September 2015
MEAN MEDIAN MODE RANGE CALCULATOR CODE


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COPY AND PASTE BELOW CODE IN POST HTML SECTION
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<html>
<head>
<style type="text/css">
.CalcTable {
padding: 4px 6px;
border: solid #ddd 1px;
border-collapse: collapse
}
.CalcTitleCell {
background-color: transparent;
color: #1d487e;
font-family: Verdana, Arial, sans-serif;
font-size: 130%;
font-weight: bold;
text-align: center;
height: 30px
}
.CalcInstructCell {
padding: 5px;
border-bottom: solid #ddd 1px
}
.CalcRowTitleCell {
background-color: #ccc;
color: #1d487e;
font-family: Verdana, Arial, sans-serif;
font-size: 85%;
font-weight: bold;
text-align: left;
border: solid #ddd 1px
}
.CalcColCell {
background-color: #1d487e;
color: #fff;
font-family: Verdana, Arial, sans-serif;
font-size: 100%;
font-weight: bold;
text-align: center;
border: solid #ddd 1px
}
.CalcColCellLeft {
background-color: #1d487e;
color: #fff;
font-family: Verdana, Arial, sans-serif;
font-size: 100%;
font-weight: bold;
text-align: left;
padding-left: 5px;
border: solid #ddd 1px
}
.CalcColCellRight {
background-color: #1d487e;
color: #fff;
font-family: Verdana, Arial, sans-serif;
font-size: 100%;
font-weight: bold;
text-align: right;
border: solid #ddd 1px
}
.CalcRowOdd {
background-color: #eee
}
.CalcRowEven {
background-color: #fff
}
.CalcInDescCell {
padding-left: 5px;
padding-right: 5px
}
.CalcOutDescCell {
text-align: left
}
.CalcInFldCell {
text-align: right;
padding-right: 5px;
font-size: 8pt
}
.CalcOutFldCell {
text-align: right;
padding-right: 5px;
border-left: solid #ddd 1px;
border-right: solid #ddd 1px;
font-size: 8pt
}
.CalcInFld {
font-size: 8pt
}
.CalcInFldFix {
font-size: 8pt
}
.CalcSelectFix {
font-size: 8pt
}
.CalcOutFldOddFix {
border: medium none;
background-color: #eee;
font-weight: normal;
text-align: right;
font-size: 8pt
}
.CalcOutFldEvenFix {
border: medium none;
background-color: #fff;
font-weight: normal;
text-align: right;
font-size: 8pt
}
.CalcOutFldOdd {
border: medium none;
background-color: #eee;
font-weight: normal;
text-align: right;
font-size: 8pt
}
.CalcOutFldEven {
border: medium none;
background-color: #fff;
font-weight: normal;
text-align: right;
font-size: 8pt
}
.CalcOutFldBoldOdd {
border: medium none;
background-color: #eee;
font-weight: bold;
text-align: right;
font-size: 8pt
}
.CalcOutFldBoldEven {
border: medium none;
background-color: #fff;
font-weight: bold;
text-align: right;
font-size: 8pt
}
.CalcButtonCell {
text-align: center;
border: solid #ddd 1px
}
.CalcButton {}.CalcSummaryCell {
padding-left: 5px;
padding-right: 5px;
background-color: #fff;
border: solid #ddd 1px
}
.ChartTable {
border-collapse: collapse
}
.ChartBody {}.ChartColHead1 {
background-color: #1d487e;
color: #fff;
font-family: Verdana, Arial, sans-serif;
font-size: 100%;
font-weight: bold;
text-align: center;
border: solid #ccc 1px
}
.ChartColHead1Small {
background-color: #1d487e;
color: #fff;
font-family: Arial, sans-serif;
font-size: 80%;
font-weight: bold;
text-align: center;
border: solid #ccc 1px
}
.ChartColHead2 {
background-color: #ccc;
color: #1d487e;
font-family: Verdana, Arial, sans-serif;
font-size: 85%;
font-weight: bold;
text-align: center;
border: solid #ddd 1px
}
.ChartRowOdd {
background-color: #eee
}
.ChartRowEven {
background-color: #fff
}
.ChartTextCell {
text-align: center;
padding-left: 2px;
padding-right: 2px;
border: solid #ddd 1px
}
.ChartTextCellLeft {
text-align: left;
padding-left: 2px;
padding-right: 2px;
border: solid #ddd 1px
}
.ChartNumCell {
text-align: right;
padding-left: 2px;
padding-right: 2px;
border: solid #ddd 1px
}
.ChartNumCellSmall {
font-family: Arial, sans-serif;
font-size: 85%;
text-align: right;
padding-left: 2px;
padding-right: 2px;
border: solid #ddd 1px
}
.ChartSubCell {
text-align: right;
border-top: solid #000 2px;
border-left: solid #ddd 1px;
border-right: solid #ddd 1px;
font-weight: bold;
background-color: #ccc;
padding-left: 4px;
padding-right: 2px
}
.ChartTotCell {
text-align: right;
border-top: double #000 3px;
border-bottom: double #000 3px;
border-left: solid #ddd 1px;
border-right: solid #ddd 1px;
font-weight: bold;
background-color: #ccc;
padding-left: 4px;
padding-right: 2px
}
#dhtmltooltip {
position: absolute;
left: -300px;
width: 150px;
border: 1px solid #000;
padding: 2px;
background-color: #ffffe0;
visibility: hidden;
z-index: 100;
filter: progid: DXImageTransform.Microsoft.Shadow(color=gray, direction=135)
}
#dhtmlpointer {
position: absolute;
left: -300px;
z-index: 101;
visibility: hidden
}
.div_help {
font-family: arial, verdana, helvetica, sans-serif;
font-size: small;
text-align: left;
padding: 10px
}
.SideCalcTitleCell {
font-size: 100%;
background-color: #000;
font-weight: bold;
color: #fff
}
.SideCalcResult {
text-align: right;
width: 94%;
background-color: #eee;
border: solid #000 1px;
font-family: arial, sans-serif;
font-size: 11pt;
color: #000;
padding-right: 5px
}
.SideCalcNum {
font-weight: bold;
width: 30px
}
.SideCalcSign {
font-weight: bold;
color: #00f;
width: 30px
}
.SideCalcClr {
font-weight: bold;
width: 30px;
color: red
}
.SideCalcClrTape {
font-weight: bold;
width: 94%;
color: #000
}
.SideCalcTapeCell {
text-align: center;
background-color: #ccc;
border-top: solid #ccc 1px;
border-left: solid #ccc 1px;
border-right: solid #ccc 1px;
border-bottom: dashed #000 1px;
font-family: courier, arial, sans-serif;
font-size: 10pt;
color: #000;
padding-right: 0px;
padding-left: 0px
}
.BelowCalcTable {
border-collapse: collapse
}
.BelowCalcAdCell {}.BelowCalcColHead {
background-color: #ccc;
color: #1d487e;
font-family: Verdana, Arial, sans-serif;
font-size: 85%;
font-weight: bold;
text-align: center;
border: solid #ccc 1px
}
.BelowCalcImgHead {
background-color: #ccc;
text-align: center;
border: solid #ccc 1px
}
.BelowCalcLinkCell {
text-align: left;
padding-left: 2px;
padding-right: 2px;
border: solid #ddd 1px
}
.sppTable {
width: 300px;
border-collapse: collapse
}
.sppRow {
background-color: #ddd
}
.sppColHead {
background-color: #fff;
color: #1d487e;
font-family: Verdana, Arial, sans-serif;
font-size: 85%;
font-weight: bold;
text-align: center;
width: 240px;
border-left: solid #8f8fb3 1px;
border-top: solid #8f8fb3 1px
}
.sppImgHead {
background-color: #fff;
text-align: center;
width: 60px;
border-right: solid #8f8fb3 1px;
border-top: solid #8f8fb3 1px
}
.sppLinkCell {
font-size: 85%;
text-align: left;
padding-left: 2px;
padding-right: 2px;
border-left: solid #8f8fb3 1px;
border-bottom: solid #8f8fb3 1px;
border-right: solid #8f8fb3 1px
}
.fb_like_button {
border: 1px dotted #000;
background-color: #eee;
padding: 10px;
width: 320px;
float: right
}
.blogItItem {
margin: 18px 0;
padding: 0 12px;
border: 1px solid #ccc;
background: #eee;
box-shadow: 4px 4px 4px #ccc
}
.blogItItem h6 {
font-style: normal;
font-weight: normal;
font-size: 80%
}
.leftnav_heading {
text-align: center
}
.leftnav_heading a {
font-family: Arial, Helvetica, sans-serif;
font-size: 15px;
text-align: left;
line-height: 14px;
background-image: url();
color: #333;
text-decoration: none;
width: 169px;
height: 41px;
display: block;
font-weight: bold;
margin-top: 18px
}
.leftnav_heading a:hover {
background-image: url()
}
.leftnav_heading span {
display: block;
padding: 7px
}
.texttop {
font-size: 15px;
line-height: 14px;
color: #333;
text-shadow: 0px 0px 2px #fff;
margin-bottom: 10px
}
.textbottom {
color: #333;
font-size: 15px;
text-shadow: 0px 0px 2px #fff
}
#mobileBtnDiv {
display: none
}
@media only screen and (max-device-width: 640px) {
#mobileBtnDiv {
display: block;
width: 100%;
text-align: center;
padding: 10px
}
#mobileBtn {
display: inline-block;
text-align: center;
width: 50%;
font-size: 2em;
line-height: 2em;
background-color: #0f5378;
color: #fff;
text-decoration: none;
border-radius: 10px;
border: 1px solid #fff
}
#mobileBtn:hover {
background-color: #4cc2ce;
color: #087197
}
}
</style>
<script>
var mod_pagespeed_dRLuSjaYQi = 'var result_ar=new Array();function customSort(a,b){return(b-a)*-1;}\nfunction calc_stats(form){var v_nums=document.calc.nums.value;if(v_nums.length==0){alert("Please enter a set of numbers to calculate the statistics for.");document.calc.nums.focus();}else{var fnl_num_ar=new Array();var num_val=0;var accum_num=0;if(v_nums.indexOf("\\r")>-1){while(v_nums.indexOf("\\r")>-1){v_nums=v_nums.replace("\\r"," ");}}\nif(v_nums.indexOf("\\n")>-1){while(v_nums.indexOf("\\n")>-1){v_nums=v_nums.replace("\\n"," ");}}\nif(v_nums.indexOf(",")>-1){var num_ar=v_nums.split(",");}else{var num_ar=v_nums.split(" ");}\nfor(var i=0;i<num_ar.length;i++){if(num_ar[i]!=" "&&num_ar[i]!=""){if(num_ar[i].indexOf("x")>-1){var set_ar=num_ar[i].split("x");mult=Number(set_ar[1]);num_val=Number(set_ar[0]);for(var j=0;j<mult;j++){fnl_num_ar.push(num_val);accum_num+=Number(num_val);}}else{num_val=sn(num_ar[i]);accum_num+=Number(num_val);fnl_num_ar.push(num_val);}}}\nvar v_num_nums=fnl_num_ar.length;document.calc.num_nums.value=v_num_nums;var v_num_sum=accum_num;document.calc.num_sum.value=v_num_sum;var v_avg=accum_num/v_num_nums;document.calc.avg.value=v_avg;fnl_num_ar.sort(customSort);result_ar=fnl_num_ar;var med_pos_1=0;var med_pos_2\nvar med_pos_avg=0;var v_med=0;if(fnl_num_ar.length%2==0){med_pos_1=fnl_num_ar.length/2-1;med_pos_2=med_pos_1+1;v_med=(fnl_num_ar[med_pos_1]+fnl_num_ar[med_pos_2])/2;}else{med_pos_1=(fnl_num_ar.length+1)/2-1;v_med=fnl_num_ar[med_pos_1];}\ndocument.calc.med.value=v_med;var v_min=fnl_num_ar[0];document.calc.min.value=v_min;var v_max=fnl_num_ar[v_num_nums-1];document.calc.max.value=v_max;var v_rng=Number(v_max)-Number(v_min);document.calc.rng.value=v_rng;var ele_ar=new Array();var cnt_ar=new Array();var last_mode=fnl_num_ar[0];var el_cnt=1;var max_cnt=1;fnl_num_str="";for(var i=0;i<fnl_num_ar.length;i++){if(i==0){fnl_num_str+=""+fnl_num_ar[i]+"";}else{fnl_num_str+=", "+fnl_num_ar[i]+"";}\nif(fnl_num_ar[i]==fnl_num_ar[i+1]){el_cnt+=1;}else{ele_ar.push(fnl_num_ar[i]);cnt_ar.push(el_cnt);if(el_cnt>max_cnt){max_cnt=el_cnt;}\nel_cnt=1;}}\nvar mod_ar=new Array();var tbl="<center><table class=\'ChartTable\'>";tbl+="<tr>";tbl+="<td colspan=\'3\' class=\'ChartTextCellLeft\'>";tbl+="Sorted data set separated by ";tbl+="<select name=\'r_delim\' size=\'1\' onChange=\'delim_set(this.form)\'>";tbl+="<option value=\', \'>Comma and space</option>";tbl+="<option value=\',\'>Comma only</option>";tbl+="<option value=\' \'>Space only</option>";tbl+="<option value=\'\\r\\n\'>Line return</option>";tbl+="<option value=\'\\t\'>Tab</option>";tbl+="</select>:";tbl+="<br>";tbl+="<textarea name=\'r_set\' cols=\'60\' rows=\'5\' >"+fnl_num_str+"</textarea></td>";tbl+="</tr>";tbl+="<tr>";tbl+="<td colspan=\'3\' class=\'ChartColHead1\'>Distribution Table</td>";tbl+="</tr>";tbl+="<tr>";tbl+="<td width=\'125\' class=\'ChartColHead2\'>Unique Elements</td>";tbl+="<td width=\'125\' class=\'ChartColHead2\'>Frequency</td>";tbl+="<td width=\'125\' class=\'ChartColHead2\'>Product</td>";tbl+="</tr>";var el_prod=0;var el_sum=0;for(var i=0;i<cnt_ar.length;i++){if(Number(cnt_ar[i])==max_cnt){mod_ar.push(ele_ar[i]);}\nel_prod=ele_ar[i]*cnt_ar[i];el_sum+=Number(cnt_ar[i]);if(i%2==0){tbl+="<tr class=\'ChartRowEven\'>";}else{tbl+="<tr class=\'ChartRowOdd\'>";}\ntbl+="<td width=\'125\' class=\'ChartNumCell\'>"+ele_ar[i]+"</td>";tbl+="<td width=\'125\' class=\'ChartNumCell\'>"+cnt_ar[i]+"</td>";tbl+="<td width=\'125\' class=\'ChartNumCell\'>"+el_prod+"</td>";tbl+="</tr>";}\ntbl+="<tr>";tbl+="<td width=\'125\' class=\'ChartTotCell\'>Sum</td>";tbl+="<td width=\'125\' class=\'ChartTotCell\'>"+el_sum+"</td>";tbl+="<td width=\'125\' class=\'ChartTotCell\'>"+v_num_sum+"</td>";tbl+="</tr>";tbl+="</table></center>";document.calc.mod.value=mod_ar;var v_summary="<br /><img src=\'image-files/calcy-pointer-right.jpg\' width=\'60\' height=\'54\' class=\'ItemLeft\' />";v_summary+="According to my calculations, the <span style=\'color: blue; font-weight: bold;\'>mean</span> ";v_summary+="of the entered ";v_summary+="number set is ";v_summary+="<span style=\'color: blue; font-weight: bold;\'>"+v_avg+"</span>, the ";v_summary+="<span style=\'color: orange; font-weight: bold;\'>median</span> is ";v_summary+="<span style=\'color: orange; font-weight: bold;\'>"+v_med+"</span>, ";v_summary+="the <span style=\'color: green; font-weight: bold;\'>mode</span> ";v_summary+=" is <span style=\'color: green; font-weight: bold;\'>"+mod_ar+"</span>, and the ";v_summary+="<span style=\'color: red; font-weight: bold;\'>range</span> is ";v_summary+="<span style=\'color: red; font-weight: bold;\'>"+v_rng+"</span>.<p>The distribution table ";v_summary+=" -- located beneath the sorted data set below -- ";v_summary+="shows the values and frequencies of the elements in the entered data set.</p>";document.getElementById("summary").innerHTML=v_summary+"<br>"+tbl+"<br><br>";}}\nfunction delim_set(form){var delim_ar=[", ",","," ","\\r","\\t"];var new_delim_idx=document.calc.r_delim.selectedIndex;var new_delim=delim_ar[new_delim_idx];var new_str="";for(var i=0;i<result_ar.length;i++){if(i==0){new_str+=""+result_ar[i]+"";}else{new_str+=new_delim+""+result_ar[i]+"";}}\ndocument.calc.r_set.value=new_str;}\nfunction clear_results(form){document.calc.num_nums.value="";document.calc.num_sum.value="";document.calc.avg.value="";document.calc.med.value="";document.calc.min.value="";document.calc.max.value="";document.calc.rng.value="";document.calc.mod.value="";document.getElementById("summary").innerHTML="";}\nfunction reset_calc(form){document.getElementById("summary").innerHTML="";document.calc.reset();}';
var mod_pagespeed_PJWHvBYF1j = 'var offsetfromcursorX=12\nvar offsetfromcursorY=10\nvar offsetdivfrompointerX=10\nvar offsetdivfrompointerY=14\ndocument.write(\'<div class="div_help" id="dhtmltooltip" onClick="hideddrivetip()"></div>\')\ndocument.write(\'<img id="dhtmlpointer" src="http://www.free-online-calculator-use.com/image-files/arrow2.gif">\')\nvar ie=document.all\nvar ns6=document.getElementById&&!document.all\nvar enabletip=false\nif(ie||ns6)\nvar tipobj=document.all?document.all["dhtmltooltip"]:document.getElementById?document.getElementById("dhtmltooltip"):""\nvar pointerobj=document.all?document.all["dhtmlpointer"]:document.getElementById?document.getElementById("dhtmlpointer"):""\nfunction ietruebody(){return(document.compatMode&&document.compatMode!="BackCompat")?document.documentElement:document.body}\nfunction ddrivetip(thetext,thewidth,thecolor){if(ns6||ie){if(typeof thewidth!="undefined")tipobj.style.width=thewidth+"px"\nif(typeof thecolor!="undefined"&&thecolor!="")tipobj.style.backgroundColor=thecolor\ntipobj.innerHTML=thetext\nenabletip=true\nreturn false}}\nfunction positiontip(e){if(enabletip){var nondefaultpos=false\nvar curX=(ns6)?e.pageX:event.clientX+ietruebody().scrollLeft;var curY=(ns6)?e.pageY:event.clientY+ietruebody().scrollTop;var winwidth=ie&&!window.opera?ietruebody().clientWidth:window.innerWidth-20\nvar winheight=ie&&!window.opera?ietruebody().clientHeight:window.innerHeight-20\nvar rightedge=ie&&!window.opera?winwidth-event.clientX-offsetfromcursorX:winwidth-e.clientX-offsetfromcursorX\nvar bottomedge=ie&&!window.opera?winheight-event.clientY-offsetfromcursorY:winheight-e.clientY-offsetfromcursorY\nvar leftedge=(offsetfromcursorX<0)?offsetfromcursorX*(-1):-1000\nif(rightedge<tipobj.offsetWidth){tipobj.style.left=curX-tipobj.offsetWidth+"px"\nnondefaultpos=true}\nelse if(curX<leftedge)\ntipobj.style.left="5px"\nelse{tipobj.style.left=curX+offsetfromcursorX-offsetdivfrompointerX+"px"\npointerobj.style.left=curX+offsetfromcursorX+"px"}\nif(bottomedge<tipobj.offsetHeight){tipobj.style.top=curY-tipobj.offsetHeight-offsetfromcursorY+"px"\nnondefaultpos=true}\nelse{tipobj.style.top=curY+offsetfromcursorY+offsetdivfrompointerY+"px"\npointerobj.style.top=curY+offsetfromcursorY+"px"}\ntipobj.style.visibility="visible"\nif(!nondefaultpos)\npointerobj.style.visibility="visible"\nelse\npointerobj.style.visibility="hidden"}}\nfunction hideddrivetip(){if(ns6||ie){enabletip=false\ntipobj.style.visibility="hidden"\npointerobj.style.visibility="hidden"\ntipobj.style.left="-1000px"\ntipobj.style.backgroundColor=\'\'\ntipobj.style.width=\'\'}}\ndocument.onmousemove=positiontip\nfunction sn(num){num=num.toString();var len=num.length;var rnum="";var test="";var j=0;var b=num.substring(0,1);if(b=="-"){rnum="-";}\nfor(i=0;i<=len;i++){b=num.substring(i,i+1);if(b=="0"||b=="1"||b=="2"||b=="3"||b=="4"||b=="5"||b=="6"||b=="7"||b=="8"||b=="9"||b=="."){rnum=rnum+""+b;}}\nif(rnum==""||rnum=="-"){rnum=0;}\nrnum=Number(rnum);return rnum;}\nfunction fns(num,places,comma,type,show){var sym_1="$";var sym_2="";var isNeg=0;if(num<0){num=num*-1;isNeg=1;}\nvar myDecFact=1;var myPlaces=0;var myZeros="";while(myPlaces<places){myDecFact=myDecFact*10;myPlaces=Number(myPlaces)+Number(1);myZeros=myZeros+"0";}\nonum=Math.round(num*myDecFact)/myDecFact;integer=Math.floor(onum);if(Math.ceil(onum)==integer){decimal=myZeros;}else{decimal=Math.round((onum-integer)*myDecFact)}\ndecimal=decimal.toString();if(decimal.length<places){fillZeroes=places-decimal.length;for(z=0;z<fillZeroes;z++){decimal="0"+decimal;}}\nif(places>0){decimal="."+decimal;}\nif(comma==1){integer=integer.toString();var tmpnum="";var tmpinteger="";var y=0;for(x=integer.length;x>0;x--){tmpnum=tmpnum+integer.charAt(x-1);y=y+1;if(y==3&x>1){tmpnum=tmpnum+",";y=0;}}\nfor(x=tmpnum.length;x>0;x--){tmpinteger=tmpinteger+tmpnum.charAt(x-1);}\nfinNum=tmpinteger+""+decimal;}else{finNum=integer+""+decimal;}\nif(isNeg==1){if(type==1&&show==1){finNum="-"+sym_1+""+finNum+""+sym_2;}else{finNum="-"+finNum;}}else{if(show==1){if(type==1){finNum=sym_1+""+finNum+""+sym_2;}else\nif(type==2){finNum=finNum+"%";}}}\nreturn finNum;}\nfunction side_calc_b(num){var v_result=document.side_calc.result.value;if(v_result.length<10){var v_new_result=v_result+""+num;document.side_calc.result.value=v_new_result;}}\nfunction side_calc_del(num){var v_result=document.side_calc.result.value;if(v_result.length>0){var v_new_result=v_result.substring(0,v_result.length-1);document.side_calc.result.value=v_new_result;}}\nfunction side_calc_sign(sgn){document.side_calc.h_sign.value=sgn;document.side_calc.h_num_1.value=document.side_calc.result.value;document.side_calc.result.value="";var tape_sgn="";if(sgn!=""){if(sgn=="/"){tape_sgn="÷";}else\nif(sgn=="*"){tape_sgn="×";}else\nif(sgn=="-"){tape_sgn="-";}else\nif(sgn=="+"){tape_sgn="+";}}\nvar tape_new=document.getElementById("side_calc_tape_new").innerHTML;var new_tape=""+document.side_calc.h_num_1.value+" "+tape_sgn+"";document.getElementById("side_calc_tape_new").innerHTML=new_tape;}\nfunction side_calc_equal(form){var v_1=Number(document.side_calc.h_num_1.value);var v_2=Number(document.side_calc.result.value);var v_sign=document.getElementById("h_sign").value;var v_new_result=0;if(v_sign!=""){if(v_sign=="/"){v_new_result=v_1/v_2;}else\nif(v_sign=="*"){v_new_result=v_1*v_2;}else\nif(v_sign=="-"){v_new_result=v_1-v_2;}else\nif(v_sign=="+"){v_new_result=v_1+v_2;}\nif(v_new_result>99999999.99||v_new_result<-99999999.99){alert("Sorry, the result is too big (greater than 1 billion) for this calculator.");}else{document.side_calc.result.value=v_new_result;document.side_calc.h_num_1.value=v_new_result;document.side_calc.h_sign.value="";var tape_new=document.getElementById("side_calc_tape_new").innerHTML;var new_tape=""+tape_new+" "+v_2+" = "+v_new_result+"";document.getElementById("side_calc_tape_new").innerHTML="";var tape_old=document.getElementById("side_calc_tape_old").innerHTML;document.getElementById("side_calc_tape_old").innerHTML=""+new_tape+"<hr style=\'border: dashed #EEEEEE 1px; line-height: 1;\'>"+tape_old+"";document.getElementById("side_calc_tape_but").innerHTML="<input type=\'button\' value=\'Throw Away\' onClick=\'side_calc_clr_tape(this.form)\' class=\'SideCalcClrTape\' />";}}}\nfunction side_calc_pm(form){var v_pm=Number(document.side_calc.result.value);v_pm=v_pm*-1;document.side_calc.result.value=v_pm;}\nfunction side_calc_clr(form){document.side_calc.result.value="";document.side_calc.h_num_1.value="";document.side_calc.h_sign.value="";}\nfunction side_calc_clr_tape(form){document.getElementById("side_calc_tape_new").innerHTML="";document.getElementById("side_calc_tape_old").innerHTML="";document.getElementById("side_calc_tape_but").innerHTML="";}\nvar soc_ad_ar=[[0,"","",""],[1,"Auto","SocialMedia","If you like this calculator, please pay it forward with a <strong>Like</strong>, <strong>Tweet</strong>, <strong>+1</strong>, or <strong>Pin</strong>."],[2,"Budget","SocialMedia","If you like this calculator, please pay it forward with a <strong>Like</strong>, <strong>Tweet</strong>, <strong>+1</strong>, or <strong>Pin</strong>."],[3,"Credit","SocialMedia","If you like this calculator, please pay it forward with a <strong>Like</strong>, <strong>Tweet</strong>, <strong>+1</strong>, or <strong>Pin</strong>."],[4,"Debt","SocialMedia","If you like this calculator, please pay it forward with a <strong>Like</strong>, <strong>Tweet</strong>, <strong>+1</strong>, or <strong>Pin</strong>."],[5,"Income","SocialMedia","If you like this calculator, please pay it forward with a <strong>Like</strong>, <strong>Tweet</strong>, <strong>+1</strong>, or <strong>Pin</strong>."],[6,"Invest","SocialMedia","If you like this calculator, please pay it forward with a <strong>Like</strong>, <strong>Tweet</strong>, <strong>+1</strong>, or <strong>Pin</strong>."],[7,"Loan","SocialMedia","If you like this calculator, please pay it forward with a <strong>Like</strong>, <strong>Tweet</strong>, <strong>+1</strong>, or <strong>Pin</strong>."],[8,"Mortgage","SocialMedia","If you like this calculator, please pay it forward with a <strong>Like</strong>, <strong>Tweet</strong>, <strong>+1</strong>, or <strong>Pin</strong>."],[9,"Finance","SocialMedia","If you like this calculator, please pay it forward with a <strong>Like</strong>, <strong>Tweet</strong>, <strong>+1</strong>, or <strong>Pin</strong>."],[10,"Retire","SocialMedia","If you like this calculator, please pay it forward with a <strong>Like</strong>, <strong>Tweet</strong>, <strong>+1</strong>, or <strong>Pin</strong>."],[11,"College","WyzAnt","Find a <a href=\'http://www.shareasale.com/r.cfm?b=246096&u=724440&m=28558&urllink=&afftrack=\' rel=\'nofollow\' target=\'_blank\'>local tutor</a> today!"],[12,"Business","SocialMedia","If you like this calculator, please pay it forward with a <strong>Like</strong>, <strong>Tweet</strong>, <strong>+1</strong>, or <strong>Pin</strong>."],[13,"","",""],[14,"","",""],[15,"","",""],[16,"","",""],[17,"","",""],[18,"","",""],[19,"","",""],[20,"Date","SocialMedia","If you like this calculator, please pay it forward with a <strong>Like</strong>, <strong>Tweet</strong>, <strong>+1</strong>, or <strong>Pin</strong>."],[21,"Conversion","SocialMedia","If you like this calculator, please pay it forward with a <strong>Like</strong>, <strong>Tweet</strong>, <strong>+1</strong>, or <strong>Pin</strong>."],[22,"Math","WyzAnt","Find a local <a href=\'http://www.shareasale.com/r.cfm?b=246097&u=724440&m=28558&urllink=&afftrack=\' rel=\'nofollow\' target=\'_blank\'>math tutor</a> today!"],[23,"Date","SocialMedia","If you like this calculator, please pay it forward with a <strong>Like</strong>, <strong>Tweet</strong>, <strong>+1</strong>, or <strong>Pin</strong>."],[24,"Sports","SocialMedia","If you like this web app, please pay it forward with a <strong>Like</strong>, <strong>Tweet</strong>, <strong>+1</strong>, or <strong>Pin</strong>."]];';
</script>
<script>eval(mod_pagespeed_dRLuSjaYQi);</script>
<script>eval(mod_pagespeed_PJWHvBYF1j);</script>
</head>
<body>
<form name="calc" method="post" action="#">
<table class="CalcTable">
<tbody>
<tr>
<td colspan="2" align="center" class="CalcTitleCell">
Statistical Average Calculator
</td>
</tr>
<tr class="ChartRowEven">
<td width="600" colspan="2" class="ChartTextCellLeft">
<img src="data:image/jpeg;base64,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" alt="Help" onMouseover="ddrivetip('Enter each element of the data set (or paste a copied data set) into this text box. Be sure each number is separated by a space, a comma, a line return, or any combination of the three. Also, if you wish to enter a frequency for each number, enter the number, followed by a lowercase x, followed by the multiplier (for 3 number twos, enter 2x3).', 250)" ; onMouseout="hideddrivetip()">
Enter or paste numbers in data set (separated by comma, space, or return):<br>
<center>
<textarea name="nums" rows="10" cols="60" wrap="virtual" onKeyUp="clear_results(this.form)"></textarea>
</center>
</td>
</tr>
<tr class="ChartRowOdd">
<td colspan="2" class="ChartTextCell">
<input type="button" class="CalcButton" value="Calculate Mean, Median, Mode, Range" onClick="calc_stats(this.form)"/>
<input type="button" class="CalcButton" value="Reset" onClick="reset_calc(this.form)"/>
</td>
</tr>
<tr class="ChartRowEven">
<td width="300" class="ChartTextCellLeft">
<img src="data:image/jpeg;base64,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" alt="Help" onMouseover="ddrivetip('This is the total number of elements detected in the data set field.', 250)" ; onMouseout="hideddrivetip()">
Total numbers in set:
</td>
<td width="300" class="ChartTextCell">
<input type="text" id="num_nums" name="num_nums" size="25" value="" class="CalcOutFldEven"/>
</td>
</tr>
<tr class="ChartRowOdd">
<td width="300" class="ChartTextCellLeft">
<img src="data:image/jpeg;base64,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" alt="Help" onMouseover="ddrivetip('This is the sum of elements detected by the statistical average calculator.', 250)" ; onMouseout="hideddrivetip()">
Sum of numbers:
</td>
<td width="300" class="ChartTextCell">
<input type="text" id="num_sum" name="num_sum" size="25" value="" class="CalcOutFldOdd"/>
</td>
</tr>
<tr class="ChartRowEven">
<td width="300" class="ChartTextCellLeft">
<img src="data:image/jpeg;base64,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" alt="Help" onMouseover="ddrivetip('This is the average or mean of the elements within the data set. This is calculated by summing the elements within the set, and then dividing the sum by the number of elements.', 250)" ; onMouseout="hideddrivetip()">
Average (mean):
</td>
<td width="300" class="ChartTextCell">
<input type="text" id="avg" name="avg" size="25" value="" class="CalcOutFldEven"/>
</td>
</tr>
<tr class="ChartRowOdd">
<td width="300" class="ChartTextCellLeft">
<img src="data:image/jpeg;base64,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" alt="Help" onMouseover="ddrivetip('This is the median of the elements detected in the data set. If the number of elements in the set is odd, this is the middle number when sorted from smallest to largest. In the case of an even number of elements in the set, this result will be the average of the middle two numbers.', 250)" ; onMouseout="hideddrivetip()">
Median:
</td>
<td width="300" class="ChartTextCell">
<input type="text" id="med" name="med" size="25" value="" class="CalcOutFldOdd"/>
</td>
</tr>
<tr class="ChartRowEven">
<td width="300" class="ChartTextCellLeft">
<img src="data:image/jpeg;base64,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" alt="Help" onMouseover="ddrivetip('This is the smallest of the elements entered into the data set.', 250)" ; onMouseout="hideddrivetip()">
Minimum:
</td>
<td width="300" class="ChartTextCell">
<input type="text" id="min" name="min" size="25" value="" class="CalcOutFldEven"/>
</td>
</tr>
<tr class="ChartRowOdd">
<td width="300" class="ChartTextCellLeft">
<img src="data:image/jpeg;base64,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" alt="Help" onMouseover="ddrivetip('This is the largest of the elements entered into the data set.', 250)" ; onMouseout="hideddrivetip()">
Maximum:
</td>
<td width="300" class="ChartTextCell">
<input type="text" id="max" name="max" size="25" value="" class="CalcOutFldOdd"/>
</td>
</tr>
<tr class="ChartRowEven">
<td width="300" class="ChartTextCellLeft">
<img src="data:image/jpeg;base64,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" alt="Help" onMouseover="ddrivetip('This is the difference between the largest number in the data set and smallest number in the data set.', 250)" ; onMouseout="hideddrivetip()">
Range:
</td>
<td width="300" class="ChartTextCell">
<input type="text" id="rng" name="rng" size="25" value="" class="CalcOutFldEven"/>
</td>
</tr>
<tr class="ChartRowOdd">
<td width="300" class="ChartTextCellLeft">
<img src="data:image/jpeg;base64,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" alt="Help" onMouseover="ddrivetip('This is the mode of elements entered in the data set, which is the element(s) with the highest frequency of occurrences with the set.', 250)" ; onMouseout="hideddrivetip()">
Mode:
</td>
<td width="300" class="ChartTextCell">
<input type="text" id="mod" name="mod" size="25" value="" class="CalcOutFldOdd"/>
</td>
</tr>
<tr class="ChartRowEven">
<td width="600" colspan="2" class="CalcSummaryCell" id="summary">
</td>
</tr>
</tbody>
</table>
</form>
</p>
</body>
</html>
Example Data Set
To show how to calculate mean, median, mode, and range, I will use the following data set:
How Do You Calculate the Mean?
The mean is the average of all numbers in a data set. To calculate the mean of set of numbers, you add all of the numbers together and then divide that sum by the number of elements within the set.
Data set: 36, 3, 8, 12, 15, 18, 22, 34, 8, 25, 17, 13, 23 |
Data set contains 13 numbers |
Mean = (36 + 3 + 8 + 12 + 15 + 18 + 22 + 34 + 8 + 25 + 17 + 13 + 23) Ć· 13 |
Mean = 234 Ć· 13 |
Mean = 18 |
How Do You Calculate the Median?
The median is the middle number in a data set after sorting the data set from smallest to largest. To calculate the median of a data set, you count the number of elements and then sort the elements from smallest to largest. Next, for an odd number of elements, you add 1 to the number of elements and then divide by 2 to get position of the middle number. From our example data set, the median is the 7th number in the sorted list, which is the number 17.
Odd numbered data set: 36, 3, 8, 12, 15, 18, 22, 34, 8, 25, 17, 13, 23 | |||||||||||||
Number of elements in set is 13 | |||||||||||||
Middle Position = ((count + 1) Ć· 2) | |||||||||||||
Middle Position = ((13 + 1) Ć· 2) | |||||||||||||
Middle Position = (14 Ć· 2) | |||||||||||||
Middle Position = 7 | |||||||||||||
Count | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 |
Data Set | 3 | 8 | 8 | 12 | 13 | 15 | 17 | 18 | 22 | 23 | 25 | 34 | 36 |
Median = 17 (7th number in sorted data set) |
Note that for an even number of elements, you find the average of the two middle numbers. The first middle position would be equal to number of elements divided by 2 less 1. The second middle position would be the first middle position plus 1. You then add the two middle numbers together and divide by 2 to find the average. From our revised example data set, this gives you a medium of 16 -- which is the average of the 6th and 7th elements (15 and 17).
Even numbered data set: 36, 3, 8, 12, 15, 18, 22, 34, 8, 25, 17, 13 | ||||||||||||
Number of elements in set is 12 | ||||||||||||
1st Middle Position = (count Ć· 2) - 1 | ||||||||||||
1st Middle Position = (12 Ć· 2) - 1 = 6 | ||||||||||||
1st Middle Number = 15 | ||||||||||||
2nd Middle Position = 1st Middle Position + 1 | ||||||||||||
2nd Middle Position = 6 + 1 = 7 | ||||||||||||
2nd Middle Number = 17 | ||||||||||||
Average of Middle Numbers = (15 + 17) Ć· 2 = 16 | ||||||||||||
Count | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
Data Set | 3 | 8 | 8 | 12 | 13 | 15 | 17 | 18 | 22 | 25 | 34 | 36 |
Median = 16 (average of 15 and 17) |
How Do You Calculate the Mode?
The mode is the number in a data set that is repeated the most often within the set. To find the mode, you simply count the number of times each unique number appears within the data set. The number that appears most often is the mode. In our example data set, the number that appears the most often is 8, therefore the mode of the data set is 8.
Example data set: 36, 3, 8, 12, 15, 18, 22, 34, 8, 25, 17, 13, 23 | |||||||||||||
Sorted Data Set | 3 | 8 | 8 | 12 | 13 | 15 | 17 | 18 | 22 | 23 | 25 | 34 | 36 |
Mode = 8 (8 appears the most often) |
Note that a data set can have more than 1 mode. For example, if the above data set included another 3, then the set would have two modes: 3 and 8. A data set having two modes is referred to as a bimodal set, whereas a data set having more than two modes is referred to as a multimodal set.
How Do You Calculate the Range?
The range is the difference between the largest number within the set and the smallest number in the set. To find the range, you sort the range from smallest to largest to determine the minimum and maximum values. You then subtract the minimum value from the maximum value to find the range. In our example set the minimum is 3 and the maximum is 36, which would result in a range of 33 (36 - 3).
Example data set: 36, 3, 8, 12, 15, 18, 22, 34, 8, 25, 17, 13, 23 | |||||||||||||
Sorted Data Set | 3 | 8 | 8 | 12 | 13 | 15 | 17 | 18 | 22 | 23 | 25 | 34 | 36 |
Range = 33 (difference between maximum of 36 and minimum of 3) |
With that, let's use the Statistical Average Calculator to calculate the mean, median, mode, and range for a set of data.
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