{"id":4606,"date":"2022-01-26T15:57:13","date_gmt":"2022-01-26T15:57:13","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=4606"},"modified":"2022-01-26T15:57:13","modified_gmt":"2022-01-26T15:57:13","slug":"what-are-measures-of-central-tendency","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/what-are-measures-of-central-tendency\/","title":{"rendered":"What are Measures of Central Tendency?"},"content":{"rendered":"[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″ css=”.vc_custom_1633761494145{border-radius: 1px !important;}”][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text]\n<h5>What are Measures of Central Tendency<\/h5>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]Measures of central tendency describe a set of data by identifying the central position in the data set as a single representative value. There are generally three measures of central tendency, commonly used in statistics- mean, median, and mode. Mean is the most common measure of central tendency used to describe a data set.<\/p>\n<p>Mean- Sum of all observations divided by the total number of observations.<br \/>\nMedian- The middle or central value in an ordered set.<br \/>\nMode- The most frequently occurring value in a data set.[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/find-the-mean\"><strong>Mean:<\/strong><\/a><br \/>\nTo find the mean of a data set, add up all the numbers, then divide by how many numbers there are.<\/p>\n<p><strong>Mean =<\/strong> <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;\\frac{Sum\\;of\\;All\\;Data\\;Points}{Number\\;of\\;Data\\;Points}\" alt=\"\\fn_phv \\frac{Sum\\;of\\;All\\;Data\\;Points}{Number\\;of\\;Data\\;Points}\" align=\"absmiddle\" \/><\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/find-median\"><strong>Median:<\/strong><\/a><br \/>\nArrange the numbers in order from the least to the greatest.<br \/>\nFind the middle number of the set. If there is an even number of items in the data set, compute the median by finding the mean of the two middle numbers.<\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/find-the-mode\"><strong>Mode:<\/strong><\/a><br \/>\nTo find the mode, arrange the numbers in order. Then count how many there are of each number. A number that appears most often is the mode.[\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]<strong><span style=\"color: #16a085;\">Find the mean, median, and mode of the given set of data.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/find-mean-median-mode-and-range-using-graphs\"><img loading=\"lazy\" class=\"alignnone wp-image-4612 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/7-3.png\" alt=\"\" width=\"384\" height=\"48\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/7-3.png 384w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/7-3-300x38.png 300w\" sizes=\"(max-width: 384px) 100vw, 384px\" \/><\/a><\/span><\/strong>[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]<strong>Mean:<\/strong><br \/>\n<strong>Mean =<\/strong> <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;\\frac{Sum\\;of\\;All\\;Data\\;Points}{Number\\;of\\;Data\\;Points}\" alt=\"\\fn_phv \\frac{Sum\\;of\\;All\\;Data\\;Points}{Number\\;of\\;Data\\;Points}\" align=\"absmiddle\" \/><\/p>\n<p><strong>Mean =<\/strong> <img src=\"https:\/\/latex.codecogs.com\/gif.latex?\\fn_phv&space;\\frac{23+35+33+28+17+38+35+41+28}{9}\" alt=\"\\fn_phv \\frac{23+35+33+28+17+38+35+41+28}{9}\" align=\"absmiddle\" \/><\/p>\n<p><strong>Mean = <img src=\"https:\/\/latex.codecogs.com\/gif.latex?\\fn_phv&space;\\frac{278}{9}\" alt=\"\\fn_phv \\frac{278}{9}\" align=\"absmiddle\" \/> =<span style=\"color: red;\"> 30.89 <\/span><\/strong><\/p>\n<p><strong>Median:<\/strong><br \/>\n1. Order the numbers from the least to the greatest.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/find-median\"><img loading=\"lazy\" class=\"alignnone wp-image-4610 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/6-3.png\" alt=\"\" width=\"387\" height=\"47\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/6-3.png 387w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/6-3-300x36.png 300w\" sizes=\"(max-width: 387px) 100vw, 387px\" \/><\/a><\/p>\n<p>2. Find the number in the middle.<br \/>\n<strong>Median = <span style=\"color: red;\">33<\/span><\/strong><\/p>\n<p><strong>Mode:<\/strong><br \/>\nThe number that appears the most is <strong><span style=\"color: red;\">35<\/span><\/strong>. Hence, <strong><span style=\"color: red;\">35<\/span><\/strong> is the <strong>mode<\/strong>.[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice What are Measures of Central Tendency[\/vc_column_text][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 1<\/h5>\n<p>Find the mean.<br \/>\n<strong><span style=\"color: #16a085;\">52, 54, 42, 53, 59, 59, 45<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/find-the-mean\"><img loading=\"lazy\" class=\"alignnone wp-image-4614 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/8-3.png\" alt=\"\" width=\"153\" height=\"43\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/8-3.png 153w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/8-3-150x43.png 150w\" sizes=\"(max-width: 153px) 100vw, 153px\" \/><\/a>[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/find-the-mean”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 2<\/h5>\n<p><strong><span style=\"color: #16a085;\">Find the mode.<\/span><\/strong><br \/>\nDrag to order these numbers from least to the greatest and write your answer.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/find-the-mode\"><img loading=\"lazy\" class=\"alignnone wp-image-4616 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/9-2.png\" alt=\"\" width=\"328\" height=\"92\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/9-2.png 328w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/9-2-300x84.png 300w\" sizes=\"(max-width: 328px) 100vw, 328px\" \/><\/a>[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/find-the-mode”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 3<\/h5>\n<p><strong><span style=\"color: #16a085;\">Find the median.<\/span><\/strong><br \/>\nDrag to order these numbers from least to the greatest and type your answer.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/find-median\"><img loading=\"lazy\" class=\"alignnone wp-image-4618 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/10-2.png\" alt=\"\" width=\"328\" height=\"124\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/10-2.png 328w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/10-2-300x113.png 300w\" sizes=\"(max-width: 328px) 100vw, 328px\" \/><\/a><br \/>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/find-median”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 4<\/h5>\n<p><strong><span style=\"color: #16a085;\">A small business recorded how many packages were shipped out every day. The number of packages shipped daily for six days was 50, 47, 39, 44, 50, and 34.<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/find-mean-median-mode-and-range-using-graphs\"><img loading=\"lazy\" class=\"alignnone wp-image-4620 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/11-1.png\" alt=\"\" width=\"258\" height=\"260\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/11-1.png 258w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/11-1-150x150.png 150w\" sizes=\"(max-width: 258px) 100vw, 258px\" \/><\/a><br \/>\nWhat was the average number of packages shipped daily during this period?<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/find-mean-median-mode-and-range-using-graphs\"><img loading=\"lazy\" class=\"alignnone wp-image-4622 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/12-1.png\" alt=\"\" width=\"178\" height=\"42\" \/><\/a>[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/find-mean-median-mode-and-range-using-graphs”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][\/vc_column][vc_column width=”1\/3″ css=”.vc_custom_1633369011398{margin-bottom: 50px !important;}”][vc_row_inner el_class=”stickynotee”][vc_column_inner][vc_single_image image=”2265″ img_size=”full” alignment=”center” css_animation=”fadeIn” css=”.vc_custom_1633509989314{border-radius: 10px !important;}” el_class=”stickypin”][vc_column_text]The <strong>central tendency<\/strong> is defined as the statistical measure that can be used to represent the entire distribution or a dataset using a single value called a measure of central tendency.<\/p>\n<p><strong>Mean<\/strong> – Sum of all observations divided by the total number of observations.<\/p>\n<p><strong>Median<\/strong> – The middle or central value in an ordered set.<\/p>\n<p><strong>Mode<\/strong> – The most frequently occurring value in a data set.<br \/>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”boxxborder2″]<span style=\"color: #ed5600;\"><strong>Pre-requisite Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/3rd-grade\/order-whole-numbers\"><span style=\"color: #ed5600;\">Order Whole Numbers<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/3rd-grade\/two-digits-addition\"><span style=\"color: #ed5600;\">Two-Digits Addition<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/3rd-grade\/three-digits-addition\"><span style=\"color: #ed5600;\">Three-Digits Addition<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/multi-digit-addition\"><span style=\"color: #ed5600;\">Multi-Digit Addition<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/multi-digit-subtraction\"><span style=\"color: #ed5600;\">Multi-Digit Subtraction<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/divide-two-digit-quotients\"><span style=\"color: #ed5600;\">Divide (Two-Digit Quotients)<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/divide-three-digit-quotients\"><span style=\"color: #ed5600;\">Divide (Three Digit Quotients)<\/span><\/a>[\/vc_column_text][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1635773369643{border-top-width: 7px !important;border-right-width: 7px !important;border-bottom-width: 7px !important;border-left-width: 7px !important;background-position: center !important;background-repeat: no-repeat !important;background-size: contain !important;border-left-color: #333399 !important;border-left-style: solid !important;border-right-color: #333399 !important;border-right-style: solid !important;border-top-color: #333399 !important;border-top-style: solid !important;border-bottom-color: #333399 !important;border-bottom-style: solid !important;border-radius: 35px !important;}”]<span style=\"color: #333399;\"><strong>Related Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/making-predictions\"><span style=\"color: #333399;\">Making Predictions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/unbiased-and-biased-samples\"><span style=\"color: #333399;\">Unbiased and Biased Samples<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/misleading-graphs-and-statistics\"><span style=\"color: #333399;\">Misleading Graphs and Statistics<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/compare-populations\"><span style=\"color: #333399;\">Compare Populations<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/select-an-appropriate-display\"><span style=\"color: #333399;\">Select an Appropriate Display<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/descriptive-statistics\"><span style=\"color: #333399;\">Descriptive Statistics<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/measures-of-variation\"><span style=\"color: #333399;\">Measures of Variation<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/analyze-data-distribution\"><span style=\"color: #333399;\">Analyze Data Distribution<\/span><\/a><\/p>\n[\/vc_column_text][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Grade 1″ color=”warning” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F1st-grade%2Fmaths|title:Grade%201%20Math||”][vc_btn title=”Grade 2″ color=”danger” 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url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″ css=”.vc_custom_1633761494145{border-radius: 1px !important;}”][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text] What are Measures of Central Tendency [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]Measures of central tendency describe a set of data by identifying the central position in the data set as a single representative […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.0 (Yoast SEO v17.6) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>What are Measures of Central Tendency? | Oryx Learning<\/title>\n<meta name=\"description\" content=\"Measures of central tendency describe a set of data by identifying the central position in the data set as a single representative value....\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/oryxlearning.com\/learn\/what-are-measures-of-central-tendency\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"What are Measures of Central Tendency?\" \/>\n<meta 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