{"id":36412,"date":"2023-04-21T15:48:27","date_gmt":"2023-04-21T14:48:27","guid":{"rendered":"https:\/\/www.snapsurveys.com\/?page_id=36412"},"modified":"2025-08-15T15:08:09","modified_gmt":"2025-08-15T14:08:09","slug":"sample-size-calculator-free","status":"publish","type":"page","link":"https:\/\/www.snapsurveys.com\/resources\/sample-size-calculator-free\/","title":{"rendered":"Free Sample Size Calculator"},"content":{"rendered":"\n<p>Our <strong>sample size calculator<\/strong> is the perfect tool to let you find the <strong>optimal sample size for your surveys<\/strong> \u2013 without needing to get bogged down by maths!<\/p>\n\n\n\n<p>Here are the <strong>best practices around sample sizes <\/strong>and a <strong>free sample size calculator<\/strong> for you to use.<\/p>\n\n\n\n<p>It will do the hard work for you!<\/p>\n\n\n\n\n<script type=\"application\/javascript\">\"use strict\";\nvar SnapExec=new function(){var e=this;this.init=function(){document.getElementById(\"SnapExec.population\").onkeydown=e.inputChanged,document.getElementById(\"SnapExec.rRate\").onchange=e.doRecalc,document.getElementById(\"SnapExec.confidence\").onchange=e.doRecalc,document.getElementById(\"SnapExec.marginOfError\").onchange=e.doRecalc,document.getElementById(\"SnapExec.reset\").onclick=e.reset,document.getElementById(\"SnapExec.calculate\").onclick=e.doCalc},this.inputChanged=function(){e.setResult(-1)},this.reset=function(){document.getElementById(\"SnapExec.rRate\").value=document.getElementById(\"SnapExec.rRateDefault\").value,document.getElementById(\"SnapExec.confidence\").value=document.getElementById(\"SnapExec.confidenceDefault\").value,document.getElementById(\"SnapExec.marginOfError\").value=document.getElementById(\"SnapExec.marginOfErrorDefault\").value,e.doCalc()},this.ssc=function(e,n,t,c,l){var a=1-e,d=e*a,o=n*n,u=t*t,i=u*d,E=Math.ceil(i\/o);c=Math.ceil(c);var m=E*c,s=E+c-1,p=Math.ceil(m\/s),r=100*p\/l,y=Math.ceil(p\/c*100);this.setResult(p,r,l,y)},this.doCalc=function(){if(+document.getElementById(\"SnapExec.population\").value>0){var n=+document.getElementById(\"SnapExec.stDev\").value,t=+document.getElementById(\"SnapExec.marginOfError\").value,c=+document.getElementById(\"SnapExec.confidence\").value,l=+document.getElementById(\"SnapExec.population\").value,a=+document.getElementById(\"SnapExec.rRate\").value;e.ssc(n,t,c,l,a)}},this.doRecalc=function(){e.doCalc()},this.setResult=function(e,n,t,c){e>-1?(document.getElementById(\"SnapExec.sampleSize\").value=this.rounded(e),c>t?(document.getElementById(\"SnapExec.required\").value=this.rounded(c)+\"%\",document.getElementById(\"SnapExec.requiredBlock\").style.display=\"block\",document.getElementById(\"SnapExec.invitesBlock\").style.display=\"none\"):(document.getElementById(\"SnapExec.invites\").value=this.rounded(n),document.getElementById(\"SnapExec.invitesBlock\").style.display=\"block\",document.getElementById(\"SnapExec.requiredBlock\").style.display=\"none\"),document.getElementById(\"SnapExec.resultBlock\").style.display=\"block\"):\"none\"!==document.getElementById(\"SnapExec.resultBlock\").style.display&&(document.getElementById(\"SnapExec.resultBlock\").style.display=\"none\")},this.rounded=function(e){var n=\"\"+(e+.5),t=n.indexOf(\".\");return t>0?n=n.substr(0,t):0===t&&(n=\"0\"),n}};window.onload=SnapExec.init;\n<\/script>\n\n<div class=\"calculator\">\n        <div class=\"row\">\n          <div class=\"columns six\">\n            <p>\n              <label for=\"SnapExec.population\">Population <i title=\"The total number of people whose opinion or behavior your sample will represent.\" class=\"fa fa-question-circle calctip\" aria-hidden=\"true\"><\/i><\/label>\n              <input type=text name=\"SnapExec.population\" id=\"SnapExec.population\" required pattern=\"[-+]?[0-9]*[,]?[0-9]+\" maxlength=\"8\" size=\"8\" \/>\n            <\/p>\n            <p>\n              <label for=\"SnapExec.rRate\">Likely response rate <i title=\"What percent of those asked to participate in the survey will do so.\" class=\"fa fa-question-circle calctip\" aria-hidden=\"true\"><\/i><\/label>\n              <select name=\"SnapExec.rRate\" id=\"SnapExec.rRate\">\n                <option type=\"radio\" name=\"SnapExec.rRate\" value=\"10\">10%<\/option>\n                <option type=\"radio\" name=\"SnapExec.rRate\" id=\"SnapExec.rRateDefault\" value=\"20\" selected>20%<\/option>\n                <option type=\"radio\" name=\"SnapExec.rRate\" value=\"30\">30%<\/option>\n                <option type=\"radio\" name=\"SnapExec.rRate\" value=\"40\">40%<\/option>\n                <option type=\"radio\" name=\"SnapExec.rRate\" value=\"50\">50%<\/option>\n                <option type=\"radio\" name=\"SnapExec.rRate\" value=\"50\">50%<\/option>\n                <option type=\"radio\" name=\"SnapExec.rRate\" value=\"60\">60%<\/option>\n                <option type=\"radio\" name=\"SnapExec.rRate\" value=\"70\">70%<\/option>\n                <option type=\"radio\" name=\"SnapExec.rRate\" value=\"80\">80%<\/option>\n                <option type=\"radio\" name=\"SnapExec.rRate\" value=\"90\">90%<\/option>\n                <option type=\"radio\" name=\"SnapExec.rRate\" value=\"100\">100%<\/option>\n              <\/select>\n            <\/p>\n            <p>\n              <label for=\"SnapExec.confidence\">Confidence level <i title=\"Expressed as a percentage, the confidence level is a measure of the reliability of the result. For example, when set to 95%, there is a probability of 95% that the true figure lies within the confidence interval.\" class=\"fa fa-question-circle calctip\" aria-hidden=\"true\"><\/i><\/label>\n              <select name=\"SnapExec.confidence\" id=\"SnapExec.confidence\">\n                <option type=\"radio\" name=\"SnapExec.confidence\" value=\"1.645\">90%<\/option>\n                <option type=\"radio\" name=\"SnapExec.confidence\" id=\"SnapExec.confidenceDefault\" value=\"1.96\" selected>95%<\/option>\n                <option type=\"radio\" name=\"SnapExec.confidence\" value=\"2.576\">99%<\/option>\n              <\/select>\n            <\/p>\n            <input type=\"hidden\" name=\"SnapExec.stDev\" id=\"SnapExec.stDev\" value=\"0.5\">\n            <p>\n              <label for=\"SnapExec.marginOfError\">Margin of error +\/- <i title=\"This is the &#39;plus-or-minus&#39; figure often quoted in opinion poll results. For example, if 50% percent of your sample picks an answer, with a margin of error of +\/-3%, you can be &#34;confident&#34; that between 47% and 53% of the entire population would have picked the same answer. If calculated at a 95 % confidence level, this statement could be extended to add that you are 95% sure that the true percentage of the population is between 47% and 53% (50% +\/-3).\"  class=\"fa fa-question-circle calctip\" aria-hidden=\"true\"><\/i><\/label>\n              <select name=\"SnapExec.marginOfError\" id=\"SnapExec.marginOfError\">\n                <option type=\"radio\" name=\"SnapExec.marginOfError\" value=\"0.01\">1%<\/option>\n                <option type=\"radio\" name=\"SnapExec.marginOfError\" value=\"0.02\">2%<\/option>\n                <option type=\"radio\" name=\"SnapExec.marginOfError\" value=\"0.03\">3%<\/option>\n                <option type=\"radio\" name=\"SnapExec.marginOfError\" value=\"0.04\">4%<\/option>\n                <option type=\"radio\" name=\"SnapExec.marginOfError\" id=\"SnapExec.marginOfErrorDefault\" value=\"0.05\" selected>5&#37;<\/option>\n              <\/select>\n            <\/p>\n          <\/div>\n          <!-- \/cols -->\n          <div class=\"columns six\">\n            <div id=\"SnapExec.resultBlock\" class=\"result\" style=\"display:none\">\n              <p>\n                <label class=\"result-title\" for=\"SnapExec.sampleSize\">Sample size<i title=\"Sample size.\" ><\/i><\/label>\n                <input class=\"result-sum\" type=\"text\" name=\"SnapExec.sampleSize\" id=\"SnapExec.sampleSize\" size=\"10\" value=\"\">\n              <\/p>\n              <p id=\"SnapExec.invitesBlock\">\n                <label class=\"result-title\" for=\"SnapExec.invites\">Invites<i title=\"Invites.\"><\/i><\/label>\n                <input class=\"result-sum\" type=\"text\" name=\"SnapExec.invites\" id=\"SnapExec.invites\" size=\"10\" value=\"\">\n              <\/p>\n              <p id=\"SnapExec.requiredBlock\">\n                <label class=\"result-title\" for=\"SnapExec.required\">You require a response rate of at least <\/label>\n                <input class=\"result-sum\" type=\"text\" name=\"SnapExec.required\" id=\"SnapExec.required\" size=\"10\" value=\"\">\n              <\/p>\n            <\/div>\n            <!-- <div class=\"result\" id=\"SnapExec.resultBlock\" style=\"visibility:hidden\">\n            <p class=\"result-title\">Margin of error <i title=\"Margin of Error.\" class=\"fa fa-question-circle calctip\" aria-hidden=\"true\"><\/i><\/p>\n            <p class=\"result-sum\" id=\"SnapExec.result\">&nbsp;<\/p>\n          <\/div>-->\n          <\/div>\n          <!-- \/cols -->\n        <\/div>\n        <!-- \/row -->\n        <div class=\"row\">\n          <div class=\"columns twelve\">\n            <p title=\"Will reset z-score to 95% and margin of error to 5%\">\n              <button class=\"button reset\" type=\"button\" value=\"Reset to defaults\" id=\"SnapExec.reset\"><i class=\"fa fa-refresh\" aria-hidden=\"true\"><\/i> Reset to defaults<\/button>\n            <\/p>\n            <p>\n              <button class=\"button\" type=\"button\" value=\"Calculate\" id=\"SnapExec.calculate\"><i class=\"fa fa-calculator\" aria-hidden=\"true\"><\/i> Calculate<\/button>\n            <\/p>\n          <\/div>\n          <!-- \/cols -->\n        <\/div>\n        <!-- \/row -->\n      <\/div>\n      <!-- \/calculator -->\n    <\/form>\n   \n\n\n\n<p><strong>Created by Snap Surveys \u2013 delivering excellence in survey and questionnaire software and experience measurement solutions since 1981.<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Why should I use a sample size calculator?<\/h2>\n\n\n\n<p><strong>Calculating the perfect sample<\/strong> size is a way to save time and money by interviewing fewer people, without compromising the accuracy of your results.<\/p>\n\n\n\n<p>For example, if a large supermarket chain is looking for feedback on the shopping experience they offer, they can invite customers to answer a survey.<\/p>\n\n\n\n<p>But do they want to invest in surveying customers in every store around the country? That requires a lot of time, effort and money because of the scale of the operation.<\/p>\n\n\n\n<p class=\"has-background\" style=\"background-color:#eef9fe\">There may be postage costs for paper surveys, you may be offering an incentive to customers to complete the questionnaire, or maybe you\u2019re using an <a href=\"https:\/\/www.snapsurveys.com\/survey-software\/offline-interviewing\/\">offline interviewer tool<\/a>.<\/p>\n\n\n\n<p>Instead, they can just select a small group of stores to run the survey. The amount of responses they receive will be the sample size, and can be used to represent the views of the entire customer base.<\/p>\n\n\n\n<p>But how many responses do you need for a true representation of all the customers?<\/p>\n\n\n\n<p>Below are the four important considerations for determining the perfect sample size.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">What makes a perfect sample size?<\/h2>\n\n\n\n<p>To find out the <strong>perfect sample size for your survey<\/strong>, there are four important things worth considering.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Overall population size<\/h3>\n\n\n\n<p>How many people will your survey represent? If we consider our earlier example, the supermarket chain would consider their estimated total customers around the country as the overall population size.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Margin for error<\/h3>\n\n\n\n<p>How likely is it that your results will reflect the views of the wider population? By calculating your margin for error, you can use it to establish a percentage range for how accurate your results may be \u2013 such as between 68% and 72%.<\/p>\n\n\n\n<p>Check out our <a href=\"https:\/\/www.snapsurveys.com\/resources\/margin-of-error-calculator\/\" target=\"_blank\" rel=\"noreferrer noopener\">margin for error calculator<\/a>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Sampling confidence level<\/h3>\n\n\n\n<p>This is a percentage that tells you how confident you are that your sample results can be achieved consistently. If you ran the survey 100 times, how many times would the answers fall within the margin of error? If this would occur 90 times out of 100, then your sampling confidence level is 90%.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Response rate<\/h3>\n\n\n\n<p>How many participants will fill in your survey to completion? Sometimes requests get ignored or surveys only get partially completed. A good response rate is a key component to quality data that allows you to see the bigger picture.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Weighting your sample size<\/h2>\n\n\n\n<p>Survey data weighting \u2013 when referring to respondents \u2013 is a way of correcting issues in the demographics of those who respond to a survey.<\/p>\n\n\n\n<p>For example, if a theme park is running a visitor survey, a representation sample of visitors is interviewed. The theme park will be able to identify the total number of visitors that day through ticket sales.<\/p>\n\n\n\n<p>To weight their sample size, they just need to factor up to the total number of daily visitors. If 1,000 visitors were interviewed, and the total daily visitors was 10,000, then each visitor counts for 10 people.<\/p>\n\n\n\n<p>It should be noted that there will likely be different profiles of visitors on different days of the week, so this will also need to be taken into account.<\/p>\n\n\n\n<p>Increasing the value of certain responses helps to ensure your calculated sample size data reflects the overall population.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Find the middle ground<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Larger sample sizes = time and money<\/h3>\n\n\n\n<p>You don\u2019t always need a large sample size.<\/p>\n\n\n\n<p>While a bigger sample size lets you increase your confidence level or reduce the margin of error, it also means you need to survey more people. This can require more resources.<\/p>\n\n\n\n<p>If time, money or manpower is of the essence, it is worth considering whether a smaller sample size is viable \u2013 perhaps in a more targeted way.<\/p>\n\n\n\n<p class=\"has-background\" style=\"background-color:#eef9fe\"><strong>TIP:<\/strong> Using an experience measurement platform is a great way to make the process as smooth as possible. <a href=\"https:\/\/www.snapsurveys.com\/survey-software\/\">Snap XMP<\/a> lets you share surveys via any channel or device, which comes in handy when your sample size needs to be bigger. <\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Small samples can be misleading<\/h3>\n\n\n\n<p>As we&#8217;ve said, sample sizes that are too small (or ones without the wider context taken into account) can provide misleading answers.<\/p>\n\n\n\n<p>It\u2019s important you get it right. <\/p>\n\n\n\n<p>So what\u2019s the middle ground?<\/p>\n\n\n\n<p><strong>Our survey sample size calculator will help you find it!<\/strong> <strong>Scroll back up to use it.<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p><a class=\"ninja_pages_read_more\"  href=\"https:\/\/www.snapsurveys.com\/resources\/sample-size-calculator-free\/\"><\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"parent":21,"menu_order":1,"comment_status":"closed","ping_status":"closed","template":"page-templates\/banner-page.php","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-36412","page","type-page","status-publish"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Free Online Survey Sample Size Calculator | Snap Surveys<\/title>\n<meta name=\"description\" content=\"Use our quick and easy sample size calculator for free and work out how many people you need to get valuable and helpful feedback from in your survey.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, 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