{"id":2883,"date":"2022-02-06T19:01:41","date_gmt":"2022-02-06T19:01:41","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=2883"},"modified":"2022-02-06T19:01:41","modified_gmt":"2022-02-06T19:01:41","slug":"how-to-find-the-mean-absolute-deviation","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/how-to-find-the-mean-absolute-deviation\/","title":{"rendered":"How to find the mean absolute deviation"},"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
How to find the mean absolute deviation<\/h5>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]Calculate the mean absolute deviation of a given set of data.[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]Steps to finding mean absolute deviation: \u200b
\n1. Find the mean<\/a>.\u200b
\n2. Find the absolute value of the differences between each value in the data set and the mean. \u200b
\n3. Find the average of the absolute values of the differences between each value in the data set and the mean. \u200b[\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]The table below shows the number of calories in different types of cookies. Find the mean absolute deviation of the set of data. Round the final answer to the nearest hundredth.<\/span><\/strong><\/p>\n\n\n\n\n\n
Number of Calories in Various Cookies<\/span><\/span><\/span><\/th>\n<\/tr>\n
40<\/td>\n50<\/td>\n43<\/td>\n49<\/td>\n<\/tr>\n
64<\/td>\n22<\/td>\n56<\/td>\n47<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]The first step in finding the mean absolute deviation is calculating the mean.<\/p>\n

Mean (Average)\u00a0 = \u00a0\"\\fn_phv<\/p>\n

Mean (Average)\u00a0 =\u00a0 \"\\fn_phv<\/p>\n

Mean (Average)\u00a0 =\u00a0 \"\\fn_phv\u00a0 = 46.375<\/p>\n

Next we need to take the absolute value of each data value minus the mean.
\n\u250240 – 46.375\u2502 = 6.375 ,<\/p>\n

\u250250 – 46.375\u2502 = 3.625 ,<\/p>\n

\u250243 – 46.375\u2502 = 3.375 ,<\/p>\n

\u250249 – 46.375\u2502 = 2.625 ,<\/p>\n

\u250264 – 46.375\u2502 = 17.625 ,<\/p>\n

\u250222 – 46.375\u2502 = 24.375 ,<\/p>\n

\u250256 – 9.625\u2502= 9.625 ,<\/p>\n

\u250247 – 46.375\u2502= 0.625<\/p>\n

Add all of the values together.
\n6.375 + 3.625 + 3.375 + 2.625 + 17.625 + 24.375 + 9.625 + 0.625 = 68.25<\/p>\n

Lastly, to find the mean absolute deviation we take our total and divide it by the number of data values we started with.<\/p>\n

Mean absolute deviation\u00a0 =\u00a0 \"\\fn_phv\u00a0 =\u00a0 8.53125, which we round to 8.53<\/span>[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice How to Find the Mean Absolute Deviation[\/vc_column_text][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n

Practice Problem 1<\/h5>\n

Drag the correct answer choice in the blank to complete the statement.<\/span><\/strong>
\n\"\"<\/a>[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/measures-of-variation”][\/vc_column_inner][\/vc_row_inner][vc_empty_space][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n

Practice Problem 2<\/h5>\n

The table below shows the number of eggs collected each day at a local household. Find the mean absolute deviation of the data set. Round the final answer to the nearest hundredth.<\/span><\/strong>
\n\"\"<\/a>[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/measures-of-variation”][\/vc_column_inner][\/vc_row_inner][vc_empty_space][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n

Practice Problem 3<\/h5>\n

The two tables below show the number of students in dorms for two different universities. Find the mean absolute deviations and fill in the blanks. Round your answers to the nearest hundredths.<\/span><\/strong>
\n\"\"<\/a>[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/measures-of-variation”][\/vc_column_inner][\/vc_row_inner][vc_empty_space][\/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]Mean:<\/strong> is the average of the data set.<\/p>\n

Range:<\/strong> It is the difference between the highest and lowest values in the set.<\/p>\n

Mean absolute deviation:<\/strong> is an indicator of the spread of the data, or how far each data value is from the mean. The higher the mean absolute deviation, the further spread the data is from the mean.<\/p>\n

Standard deviation:<\/strong> is a calculated value that shows how the data deviates from the mean of the data.[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”boxxborder2″]Pre-requisite Skills<\/strong><\/span>
\nFind the Mean<\/span><\/a>
\nFind Range<\/span><\/a>
\nSelect an Appropriate Display<\/span><\/a>[\/vc_column_text][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1635233527537{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;}”]Related Skills<\/strong><\/span>
\nMaking Predictions<\/span><\/a>
\nUnbiased and Biased Samples<\/span><\/a>
\nMisleading Graphs and Statistics<\/span><\/a>
\nCompare Populations<\/span><\/a>
\nSelect an Appropriate Display<\/span><\/a>
\nScatter Plots<\/span><\/a>
\nLines of Best Fit<\/span><\/a>
\nTwo-Way Tables<\/span><\/a>
\nDescriptive Statistics<\/span><\/a>
\nMeasures of Variation<\/span><\/a>
\nAnalyze Data Distribution<\/span><\/a>[\/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” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F2nd-grade%2Fmaths|title:Grade%202%20Math||”][vc_btn title=”Grade 3″ color=”violet” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F3rd-grade%2Fmaths|title:Grade%203%20Math||”][vc_btn title=”Grade 4″ color=”blue” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F4th-grade%2Fmaths|title:Grade%204%20Math||”][vc_btn title=”Grade 5″ color=”green” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F5th-grade%2Fmaths|title:Grade%205%20Math||”][vc_btn title=”Grade 6″ color=”info” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F6th-grade%2Fmaths|title:Grade%206%20Math||”][vc_btn title=”Grade 7″ color=”vista-blue” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F7th-grade%2Fmaths|title:Grade%207%20Math||”][vc_btn title=”Grade 8″ color=”mulled-wine” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F8th-grade%2Fmaths|title:Grade%208%20Math||”][\/vc_column_inner][\/vc_row_inner][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Probability and statistics” color=”warning” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Fprobability-and-statistcs|title:Probability%20and%20statistics||”][\/vc_column_inner][\/vc_row_inner][\/vc_column][\/vc_row][\/vc_section]\n","protected":false},"excerpt":{"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] How to find the mean absolute deviation [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]Calculate the mean absolute deviation of a given set of data.[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]Steps to finding mean absolute deviation: \u200b 1. Find the […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"\nHow to find the mean absolute deviation | Oryx Learning<\/title>\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\/how-to-find-the-mean-absolute-deviation\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"How to find the mean absolute deviation\" \/>\n<meta property=\"og:description\" content=\"[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] How to find the mean absolute deviation [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]Calculate the mean absolute deviation of a given set of data.[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]Steps to finding mean absolute deviation: \u200b 1. 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