{"id":3413,"date":"2022-02-06T12:09:54","date_gmt":"2022-02-06T12:09:54","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=3413"},"modified":"2022-02-06T12:09:54","modified_gmt":"2022-02-06T12:09:54","slug":"statistical-questions","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/statistical-questions\/","title":{"rendered":"Statistical Questions"},"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>Statistical Questions<\/h5>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]Identify the characteristic of the given statistical distribution.[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]Analyze the graph given and describe the center and spread of a <a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/analyze-data-distribution\">statistical distribution.<\/a>[\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]<strong><span style=\"color: #16a085;\">The distribution below shows represents scores on a recent 30 point quiz. Find the center of distribution.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/analyze-data-distribution\"><img loading=\"lazy\" class=\"alignnone\" style=\"margin-top: 10px;\" src=\"https:\/\/cdn.oryxlearning.com\/media_assets\/1606909428502.svg\" alt=\"\" width=\"430\" height=\"93\" \/><\/a><br \/>\n<\/span><\/strong>[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]Since the distribution is non-symmetric, which we can tell by looking at the plot that the left and right sides are not the same, the median should be used to describe the center and the IQR for the spread. The median is represented by the line going vertically through the box, which in this case is at <span style=\"color: red;\">14<\/span>.[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice Statistical Questions[\/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><strong><span style=\"color: #16a085;\">An archer records his scores at 7 shoots throughout the season. His scores are as follows:<br \/>\n<\/span>278, 300, 195, 265, 288, 278, and 272<\/strong><br \/>\n<strong><span style=\"color: #16a085;\">Find the median.<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/descriptive-statistics\"><img loading=\"lazy\" class=\"alignnone wp-image-3417 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/111-4.png\" alt=\"\" width=\"196\" height=\"49\" \/><\/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\/descriptive-statistics”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”22px”][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;\">A list of 9 students’ quiz scores on a 20 point quiz is listed below. Find the five-number summary. <\/span><\/strong><br \/>\n<strong>19, 19, 17, 20, 18, 14, 8, 20, 16. <\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/descriptive-statistics\"><img loading=\"lazy\" class=\"alignnone wp-image-3419 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/112.png\" alt=\"\" width=\"229\" height=\"201\" \/><\/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\/descriptive-statistics”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”22px”][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;\">The two tables below show the number of kids per family in two different towns. Find the mean absolute deviations and fill in the blanks. Round your answers to the nearest hundredths.<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/measures-of-variation\"><img loading=\"lazy\" class=\"alignnone wp-image-3421 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/113.png\" alt=\"\" width=\"411\" height=\"215\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/113.png 411w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/113-300x157.png 300w\" sizes=\"(max-width: 411px) 100vw, 411px\" \/><\/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 height=”22px”][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;\">Drag the correct answer choice to complete the statement.<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/analyze-data-distribution\"><img loading=\"lazy\" class=\"alignnone wp-image-3423 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/114.png\" alt=\"\" width=\"346\" height=\"422\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/114.png 346w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/114-246x300.png 246w\" sizes=\"(max-width: 346px) 100vw, 346px\" \/><\/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\/analyze-data-distribution”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”22px”][\/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]<strong>Univariate data<\/strong>: Data with one variable, such as test scores.<br \/>\n<strong>Bivariate Data<\/strong>: Data with two variables, or pairs of numerical observations.<br \/>\n<strong>Mean<\/strong>: means average.<br \/>\n<strong>Median<\/strong>: It is the middle number of the data set when in order from the least to the greatest.<br \/>\n<strong>Mode<\/strong>: It is the number that occurred the most often.<br \/>\n<strong>Range<\/strong>: It is the difference between the highest and lowest values in the set.<br \/>\n<strong>Bar Graph<\/strong>: shows the number of items in specific categories.<br \/>\n<strong>Double Bar Graph<\/strong>: compares two sets of categorical data.<br \/>\n<strong>Circle Graph<\/strong>: compares parts of the data to the whole.<br \/>\n<strong>Histogram<\/strong>: shows the frequency of data divided into equal intervals.<br \/>\n<strong>Line Graph<\/strong>: shows change over a period of time.<br \/>\n<strong>Box and Whisker Plot<\/strong>: It shows measures of variation for a set of data. Also known as box plot.<br \/>\n<strong>The Five-Number Summary<\/strong>: It includes the minimum, Q1, median, Q3, and maximum values.<br \/>\n<strong>Q1<\/strong>: It is the first quartile or the median of the first half of the data set.<br \/>\n<strong>Q3<\/strong>: It is the third quartile or the median of the second half of the data set.<br \/>\n<strong>Interquartile range (IQR)<\/strong>: It represents the middle 50%. It spans from the 25th percentile to the 75th percentile and is represented by the box in a boxplot.<br \/>\n<strong>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.<br \/>\n<strong>Standard deviation<\/strong>: is a calculated value that shows how the data deviates from the mean of the data.<br \/>\nA <strong>gap<\/strong> is where there are no data values in a distribution. \u200b<br \/>\nA <strong>peak<\/strong> is the where the most frequently occurring value or interval of value is located.\u200b<br \/>\nAn<strong> outlier<\/strong> is a data value that is 1.5 times the interquartile range from the first and third quartiles. \u200b<br \/>\nA <strong>distribution<\/strong> of a set of data shows the arrangement of data values. \u200b<br \/>\n<strong>Symmetric distribution<\/strong>: If the left side of a distribution looks like the right side of a distribution.[\/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\/5th-grade\/find-the-mean\"><span style=\"color: #ed5600;\">Find the Mean<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/find-the-range\"><span style=\"color: #ed5600;\">Find Range<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/find-median\"><span style=\"color: #ed5600;\">Find Median<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/find-the-mode\"><span style=\"color: #ed5600;\">Find the Mode<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/making-predictions\"><span style=\"color: #ed5600;\">Making Predictions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/unbiased-and-biased-samples\"><span style=\"color: #ed5600;\">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: #ed5600;\">Misleading Graphs and Statistics<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/compare-populations\"><span style=\"color: #ed5600;\">Compare Populations<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/select-an-appropriate-display\"><span style=\"color: #ed5600;\">Select an Appropriate Display<\/span><\/a>[\/vc_column_text][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1635250224311{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\/8th-grade\/scatter-plots\"><span style=\"color: #333399;\">Scatter Plots<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/lines-of-best-fit\"><span style=\"color: #333399;\">Lines of Best Fit<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/two-way-tables\"><span style=\"color: #333399;\">Two-Way Tables<\/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″ 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el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Percent” color=”warning” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Fpercent|title:Percent||”][vc_btn title=”Probability and statistics” color=”danger” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Fprobability-and-statistics|title:Probability%20and%20statistics||”][\/vc_column_inner][\/vc_row_inner][\/vc_column][\/vc_row][\/vc_section]\n","protected":false},"excerpt":{"rendered":"<p>[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] Statistical Questions [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]Identify the characteristic of the given statistical distribution.[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]Analyze the graph given and describe the center and spread of a statistical distribution.[\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]The distribution below shows […]<\/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 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img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text] Statistical Questions [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]Identify the characteristic of the given statistical distribution.[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]Analyze the graph given and describe the center and spread of a statistical distribution.[\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]The distribution below shows […]","og_url":"https:\/\/oryxlearning.com\/learn\/statistical-questions\/","og_site_name":"Oryx Learning","og_image":[{"url":"https:\/\/cdn.oryxlearning.com\/media_assets\/1606909428502.svg"}],"twitter_card":"summary_large_image","twitter_misc":{"Est. reading time":"5 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