{"id":7668,"date":"2013-08-20T02:59:53","date_gmt":"2013-08-20T02:59:53","guid":{"rendered":"http:\/\/www.mometrix.com\/academy\/?page_id=7668"},"modified":"2026-03-26T09:41:10","modified_gmt":"2026-03-26T14:41:10","slug":"mean-median-and-mode","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/mean-median-and-mode\/","title":{"rendered":"Mean, Median, and Mode"},"content":{"rendered":"\n\t\t\t<div id=\"mmDeferVideoEncompass_OUodVfaRfL4\" style=\"position: relative;\">\n\t\t\t<picture>\n\t\t\t\t<source srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.webp\" type=\"image\/webp\">\n\t\t\t\t<source srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" type=\"image\/jpeg\"> \n\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" loading=\"eager\" id=\"videoThumbnailImage_OUodVfaRfL4\" data-source-videoID=\"OUodVfaRfL4\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" alt=\"Mean, Median, and Mode Video\" height=\"464\" width=\"825\" class=\"size-full\" data-matomo-title = \"Mean, Median, and Mode\">\n\t\t\t<\/picture>\n\t\t\t<\/div>\n\t\t\t<style>img#videoThumbnailImage_OUodVfaRfL4:hover {cursor:pointer;} img#videoThumbnailImage_OUodVfaRfL4 {background-size:contain;background-image:url(\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/02\/186-mean-median-mode-2.webp\");}<\/style>\n\t\t\t<script defer>\n\t\t\t  jQuery(\"img#videoThumbnailImage_OUodVfaRfL4\").click(function() {\n\t\t\t\tlet videoId = jQuery(this).attr(\"data-source-videoID\");\n\t\t\t\tlet helpTag = '<div id=\"mmDeferVideoYTMessage_OUodVfaRfL4\" style=\"display: none;position: absolute;top: -24px;width: 100%;text-align: center;\"><span style=\"font-style: italic;font-size: small;border-top: 1px solid #fc0;\">Having trouble? <a href=\"https:\/\/www.youtube.com\/watch?v='+videoId+'\" target=\"_blank\">Click here to watch on YouTube.<\/a><\/span><\/div>';\n\t\t\t\tlet tag = document.createElement(\"iframe\");\n\t\t\t\ttag.id = \"yt\" + videoId;\n\t\t\t\ttag.src = \"https:\/\/www.youtube-nocookie.com\/embed\/\" + videoId + \"?autoplay=1&controls=1&wmode=opaque&rel=0&egm=0&iv_load_policy=3&hd=0&enablejsapi=1\";\n\t\t\t\ttag.frameborder = 0;\n\t\t\t\ttag.allow = \"autoplay; fullscreen\";\n\t\t\t\ttag.width = this.width;\n\t\t\t\ttag.height = this.height;\n\t\t\t\ttag.setAttribute(\"data-matomo-title\",\"Mean, Median, and Mode\");\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_OUodVfaRfL4\").html(tag);\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_OUodVfaRfL4\").prepend(helpTag);\n\t\t\t\tsetTimeout(function(){jQuery(\"div#mmDeferVideoYTMessage_OUodVfaRfL4\").css(\"display\", \"block\");}, 2000);\n\t\t\t  });\n\t\t\t  \n\t\t\t<\/script>\n\t\t\n<p><script>\nfunction ZAS_Function() {\n  var x = document.getElementById(\"ZAS\");\n  if (x.style.display === \"none\") {\n    x.style.display = \"block\";\n  } else {\n    x.style.display = \"none\";\n  }\n}\n<\/script><\/p>\n<div class=\"moc-toc hide-on-desktop hide-on-tablet\">\n<div><button onclick=\"ZAS_Function()\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/12\/toc2.svg\" width=\"16\" height=\"16\" alt=\"show or hide table of contents\"><\/button><\/p>\n<p>On this page<\/p>\n<\/div>\n<nav id=\"ZAS\" style=\"display:none;\">\n<ul>\n<li class=\"toc-h2\"><a href=\"#Mean\" class=\"smooth-scroll\">Mean<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Median\" class=\"smooth-scroll\">Median<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Mode\" class=\"smooth-scroll\">Mode<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Mean,_Median,_and_Mode_Practice_Questions\" class=\"smooth-scroll\">Mean, Median, and Mode Practice Questions<\/a><\/li>\n<\/ul>\n<\/nav>\n<\/div>\n<div class=\"accordion\"><input id=\"transcript\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"transcript\">Transcript<\/label><input id=\"PQs\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQs\">Practice<\/label><a href=\"https:\/\/www.mometrix.com\/academy\/mean-median-and-mode-calculator\/\" target=\"none\" style=\"margin: 0 auto;\"><span class=\"accordion_calculator_button\">Calculator<\/span><\/a><\/p>\n<div class=\"spoiler\" id=\"transcript-spoiler\">\n<p>Hey guys! Welcome to this video over mean, median, and mode.<\/p>\n<p>Mean, median, and mode all represent averages. Now, typically when people think of finding the <a class=\"ylist\" href=\"https:\/\/www.mometrix.com\/academy\/average\/\">average<\/a>, they have the <em>mean<\/em> in mind. The mean is the one where you add up all the numbers, and divide by how many numbers there are. And it\u2019s true, that is the most common kind of average, but really, all three are a type of average.<\/p>\n<p>Let\u2019s take a look at how to solve for each average.<\/p>\n<h2><span id=\"Mean\" class=\"m-toc-anchor\"><\/span>Mean<\/h2>\n<p>\nFirst, the mean.<\/p>\n<p>Let\u2019s say we have a list of nine numbers: <\/p>\n<div class=\"examplesentence\">23, 16, 54, 27, 31, 16, 33, 24, 19<\/div>\n<p>\n&nbsp;<br \/>\nSo, to find the mean, we need to add up all of the <a class=\"ylist\" href=\"https:\/\/www.mometrix.com\/academy\/numbers-and-their-classifications\/\">numbers<\/a> in the list, and then divide by the amount of numbers that there are, which we know is 9 because we have 9 numbers.<\/p>\n<p>When we add up all the numbers, we get 243. So now we take this number and divide it by 9 to get 27. <\/p>\n<p>And that is all there is to finding the mean! You add up all the numbers on the list, then divide by how many numbers there are.<\/p>\n<h2><span id=\"Median\" class=\"m-toc-anchor\"><\/span>Median<\/h2>\n<p>\nFinding the median is a little easier because you don\u2019t have to do any addition or division, which can get pretty crazy depending on how many numbers you have in your collection of data.<\/p>\n<p>The median is literally the number in the \u201cmiddle\u201d of a list of numbers. However, before we just look at the number in the center of our data, we must first arrange the set of numbers in ascending order, which means smallest to largest.<\/p>\n<p>So, using our same list, if we arrange it in ascending order we would get:<\/p>\n<div class=\"examplesentence\">16, 16, 19, 23, 24, 27, 31, 33, 54<\/div>\n<p>\n&nbsp;<br \/>\nSo we can see that the number in the middle now is 24, and we know this because we have an equal amount of numbers on each side of 24. So, we have four numbers here (to the left), and four numbers here (to the right), putting our 24 in the middle.<\/p>\n<p>Now, we can easily see the middle number in this list, because we only have nine numbers; but what happens when we have a list of one thousand numbers? I mean you can use the same method, but it may take you a little longer. So, mathematicians have graciously worked to give us a formula to make this process quicker. <\/p>\n<h3><span id=\"Formula_for_Median\" class=\"m-toc-anchor\"><\/span>Formula for Median<\/h3>\n<div class=\"examplesentence\" style=\"font-size: 120%;\">\\(\\frac{(n+1)}{2}\\)<\/div>\n<p>\n&nbsp;<br \/>\nNow in this formula, \\(n\\) is the amount of numbers on our list. Now, let\u2019s see if this works for us. Our \\(n\\) is equal to 9 because we have 9 numbers in our list, and we&#8217;ll just use the same list. So with that we have, \\(\\frac{(9+1)}{2}\\), which is equal to \\(\\frac{10}{2}\\), which is equal to 5. So 5 is clearly not 24, but what 5 is telling us is that the 5th number in the list is our median, which we can see by looking at this list.<\/p>\n<p>So, as you can see, finding the median is relatively simple, but it\u2019s especially simple when we are looking for the median in a list with an odd amount of numbers. Like, in our case, we have been working with a list of nine numbers. But what about when we have a list with an even amount of numbers? Well, you still would use the same general method. You would set them up in ascending order, except now you have to take the mean of the two numbers in the middle.<\/p>\n<p>So, let\u2019s just add a number to our list of 9 numbers. Let\u2019s say 60. <\/p>\n<div class=\"examplesentence\">16, 16, 19, 23, 24, 27, 31, 33, 54, 60<\/div>\n<p>\n&nbsp;<br \/>\nSo now we have 10 numbers, which is an even amount of numbers. So we need to take the mean of the fifth and sixth numbers. So we take the sum of 24 and 27, then divide by the amount of numbers that we are summing, which in this case is just 2. So we have, \\(\\frac{24+27}{2}=25.5\\). So this makes 25.5 our median. <\/p>\n<p>So remember, when you have an odd amount of numbers, like in our example here, you just take the number in the middle and that&#8217;s your median. But when you have an even amount of numbers, you have to take the two middlemost numbers and then take their mean to get your median.<\/p>\n<h2><span id=\"Mode\" class=\"m-toc-anchor\"><\/span>Mode<\/h2>\n<p>\nOkay, now onto mode.<\/p>\n<p>Good news: the mode is definitely the simplest of the three to find. The mode is the number that appears the most amount of times. <\/p>\n<p>Taking a look at our list that we have been using, we can see that 16 is the only number that is being repeated, and that is our mode. Simple enough.<\/p>\n<p>Now, if there are no numbers that are repeated, then there is no mode. Also, let\u2019s pay close attention to our definition. The mode is the number that appears the most amount of times. So, it may be that you have a number repeated, but there is another number that is repeated more times. The number that is repeated more is the mode, but you can have multiple modes. If two numbers are repeated the same amount of times, they are both modes.<\/p>\n<p>I hope that this video was helpful.<\/p>\n<p>See you guys next time!<\/p>\n<\/div>\n<div class=\"spoiler\" id=\"PQs-spoiler\">\n<h2 style=\"text-align:center\"><span id=\"Mean,_Median,_and_Mode_Practice_Questions\" class=\"m-toc-anchor\"><\/span>Mean, Median, and Mode Practice Questions<\/h2>\n\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #1:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nFind the mean of the following data:<\/p>\n<div class=\"yellow-math-quote\">4, 5, 7, 5, 7, 10, 7, 12, 10, 15, 17<\/div>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-1-1\">8<\/div><div class=\"PQ correct_answer\"  id=\"PQ-1-2\">9<\/div><div class=\"PQ\"  id=\"PQ-1-3\">11<\/div><div class=\"PQ\"  id=\"PQ-1-4\">7<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-1\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-1\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-1-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>To calculate the mean, add up all of the numbers in the list and then divide that by the total amount of numbers. In this case, \\(99 \\div 11=9\\).<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-1-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-1-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #2:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nFind the mean of the following data:<\/p>\n<div class=\"yellow-math-quote\">70, 72, 75, 76, 80, 113<\/div>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-2-1\">51<\/div><div class=\"PQ\"  id=\"PQ-2-2\">61<\/div><div class=\"PQ\"  id=\"PQ-2-3\">71<\/div><div class=\"PQ correct_answer\"  id=\"PQ-2-4\">81<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-2\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-2\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-2-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>The sum of all the numbers in the list is 486, and there are six numbers in the list.<\/p>\n<p style=\"text-align: center\">\\(486 \\div 6 = 81\\)<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-2-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-2-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #3:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nFind the mean of the following data:<\/p>\n<div class=\"yellow-math-quote\">150, 150, 156, 156, 161, 163<\/div>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-3-1\">180<\/div><div class=\"PQ\"  id=\"PQ-3-2\">256<\/div><div class=\"PQ correct_answer\"  id=\"PQ-3-3\">156<\/div><div class=\"PQ\"  id=\"PQ-3-4\">194<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-3\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-3\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-3-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>There are six numbers in the list, and the sum total of these numbers is 936.<\/p>\n<p style=\"text-align: center\">\\(936 \\div 6 = 156\\)<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-3-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-3-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #4:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nFind the median of the following data:<\/p>\n<div class=\"yellow-math-quote\">5, 4, 6, 7, 6, 8, 3, 5, 2<\/div>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ correct_answer\"  id=\"PQ-4-1\">5<\/div><div class=\"PQ\"  id=\"PQ-4-2\">2<\/div><div class=\"PQ\"  id=\"PQ-4-3\">9<\/div><div class=\"PQ\"  id=\"PQ-4-4\">7<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-4\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-4\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-4-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>There are two methods you can use to find the median.<\/p>\n<h4 style=\"margin-bottom: 0em; font-weight: 600 !important;\">Method 1<\/h4>\n<p>To find the median, locate the number that is in the middle of the list. First, the list should be arranged so the numbers are in ascending order (2, 3, 4, 5, 5, 6, 6, 7, 8). Now, simply locate the number that is in the middle of the list. <\/p>\n<p>This would be 5.<\/p>\n<h4 style=\"margin-bottom: 0em; font-weight: 600 !important;\">Method 2<\/h4>\n<p>Use the formula \\(\\frac{(n+1)}{2}\\), where \\(n\\) represents the amount of numbers in the list.<\/p>\n<p>In this case, \\(n=9\\), so \\(9+1=10\\). This is then divided by 2 to get 5.<\/p>\n<p>This number is saying that the fifth number in the list (once the list is arranged in ascending order) is the median, which in this case is 5.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-4-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-4-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #5:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nFind the median of the following data:<\/p>\n<div class=\"yellow-math-quote\">16, 18, 13, 15, 19, 20, 24<\/div>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-5-1\">13<\/div><div class=\"PQ\"  id=\"PQ-5-2\">16<\/div><div class=\"PQ correct_answer\"  id=\"PQ-5-3\">18<\/div><div class=\"PQ\"  id=\"PQ-5-4\">24<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-5\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-5\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-5-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><h4 style=\"margin-bottom: 0em; font-weight: 600 !important;\">Method 1<\/h4>\n<p>First, arrange the list in ascending order (13, 15, 16, 18, 19, 20, 24). The number in the middle of the list (18) is the median.<\/p>\n<h4 style=\"margin-bottom: 0em; font-weight: 600 !important;\">Method 2<\/h4>\n<p>Use the formula \\(\\frac{(n+1)}{2}\\), where \\(n\\) represents the amount of numbers in the list. In this case, \\(n\\) represents 7.<\/p>\n<p style=\"text-align: center\">\\(7+1=8\\)<\/p>\n<p>Then, divide 8 by 2 to get 4. This means that the median is the fourth number in the list in its ascending order, which in this case is 18.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-5-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-5-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #6:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nFind the median of the following data:<\/p>\n<div class=\"yellow-math-quote\">1, 3, 9, 8, 7, 6, 7, 3<\/div>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ correct_answer\"  id=\"PQ-6-1\">6.5<\/div><div class=\"PQ\"  id=\"PQ-6-2\">7.5<\/div><div class=\"PQ\"  id=\"PQ-6-3\">6<\/div><div class=\"PQ\"  id=\"PQ-6-4\">7<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-6\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-6\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-6-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><h4 style=\"margin-bottom: 0em; font-weight: 600 !important;\">Method 1<\/h4>\n<p>First, arrange the list in ascending order (1, 3, 3, 6, 7, 7, 8, 9). Next, find the number in the middle of the list.<\/p>\n<p>In this case, there are an even number of numbers in the list, so the median falls between the two middle numbers, which is the average of the two middle numbers. The two middle numbers in this list are 6 and 7, so 6.5 is the median.<\/p>\n<h4 style=\"margin-bottom: 0em; font-weight: 600 !important;\">Method 2<\/h4>\n<p>Use the formulas \\(\\frac{n}{2}\\) and \\(\\frac{n}{2}+1\\), where \\(n\\) represents the amount of numbers in the list. In this case, \\(n\\) represents 8.<\/p>\n<p style=\"text-align: center\">\\(\\dfrac{8}{2}=4\\:\\) and \\(\\: \\dfrac{8}{2}+1=5\\)<\/p>\n<p>We now know that the fourth and fifth numbers in the ordered list are the two middle values.<\/p>\n<p>After arranging the numbers in ascending order (1, 3, 3, 6, 7, 7, 8, 9), we can see the fourth number is 6 and the fifth number is 7.<\/p>\n<p>To find the median, take the average of these two numbers:<\/p>\n<p style=\"text-align: center\">\\(\\dfrac{6+7}{2}=6.5\\)<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-6-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-6-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #7:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nFind the mode of the following data:<\/p>\n<div class=\"yellow-math-quote\">3, 4, 4, 4, 5, 5, 8, 9<\/div>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-7-1\">9<\/div><div class=\"PQ correct_answer\"  id=\"PQ-7-2\">4<\/div><div class=\"PQ\"  id=\"PQ-7-3\">8<\/div><div class=\"PQ\"  id=\"PQ-7-4\">3<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-7\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-7\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-7-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>The mode is the number that appears most frequently in the list of numbers. In this case, 4 appears most frequently, so 4 is the mode.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-7-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-7-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #8:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nFind the mode of the following data:<\/p>\n<div class=\"yellow-math-quote\">23, 34, 23, 34, 44, 24, 44, 11, 23, 43<\/div>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-8-1\">43<\/div><div class=\"PQ\"  id=\"PQ-8-2\">44<\/div><div class=\"PQ\"  id=\"PQ-8-3\">34<\/div><div class=\"PQ correct_answer\"  id=\"PQ-8-4\">23<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-8\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-8\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-8-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>The mode is the number that appears most frequently in the list of numbers. In this case, 23 appears most frequently, so 23 is the mode.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-8-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-8-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #9:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nFind the mode of the following data:<\/p>\n<div class=\"yellow-math-quote\">5.5, 6.3, 7.2, 4.4, 7.2, 5.6, 5.1<\/div>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ correct_answer\"  id=\"PQ-9-1\">7.2<\/div><div class=\"PQ\"  id=\"PQ-9-2\">4.4<\/div><div class=\"PQ\"  id=\"PQ-9-3\">5.5<\/div><div class=\"PQ\"  id=\"PQ-9-4\">5.6<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-9\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-9\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-9-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>The mode is the number that appears most frequently in the list of numbers. In this case, 7.2 appears most frequently, so 7.2 is the mode.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-9-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-9-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div><\/div>\n<\/div>\n\n<p>&nbsp;<\/p>\n<div class=\"home-buttons\">\n<p><a href=\"https:\/\/www.mometrix.com\/academy\/basic-arithmetic\/\">Return to Basic Arithmetic Videos<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp; Return to Basic Arithmetic Videos<\/p>\n","protected":false},"author":1,"featured_media":91237,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":{"0":"post-7668","1":"page","2":"type-page","3":"status-publish","4":"has-post-thumbnail","6":"page_category-average","7":"page_category-math-advertising-group","8":"page_category-video-pages-for-study-course-sidebar-ad","9":"page_type-video","10":"content_type-practice-questions","11":"subject_matter-math"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/7668","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/comments?post=7668"}],"version-history":[{"count":6,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/7668\/revisions"}],"predecessor-version":[{"id":285277,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/7668\/revisions\/285277"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media\/91237"}],"wp:attachment":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media?parent=7668"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}