{"id":2572,"date":"2021-04-08T14:33:23","date_gmt":"2021-04-08T14:33:23","guid":{"rendered":"http:\/\/www.thesummitprep.org\/high-school\/?p=2572"},"modified":"2021-04-08T14:33:42","modified_gmt":"2021-04-08T14:33:42","slug":"7th-gr-math-4-5-4-9","status":"publish","type":"post","link":"https:\/\/www.thesummitprep.org\/middleschool\/2021\/04\/08\/7th-gr-math-4-5-4-9\/","title":{"rendered":"7th Gr Math (4\/5&#8211;4\/9)"},"content":{"rendered":"<p>We have been discussing measures of center of data sets including means and Mean Absolute Deviation (average of distances from mean). We have been talking about the difference between sample means and population means and how their distributions differ. We have been emphasizing that the more data that is gathered, the closer a sample mean will approach the population mean. We gathered sample means from the same population (used excel to generate a random sample of data) and analyzed how our sample means from the same population data were different. Today, (Thurs) we are looking at whether two sample means of populations are different using MADs and interquartile ranges (difference between 1st and 3rd quartiles; this is not the rigorous tests of an upper-level statistics course, but a simplified version to explore how far apart data means\/medians are). Friday of this week and Monday of next week we will conduct a population sampling experiment (tag and release) using dried beans of different varieties. We will try to use our tag\/release algorithms to see if we can determine the actual percentage of each beans existing in the population (which I will create using ratios of cups to the whole, but I am not counting all the beans to verify actual percentages).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>We have been discussing measures of center of data sets including means and Mean Absolute Deviation (average of distances from mean). We have been talking about the difference between sample means and population means and how their distributions differ. We have been emphasizing that the more data that is gathered, the closer a sample mean [&hellip;]<\/p>\n","protected":false},"author":51,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"rs_blank_template":"","rs_page_bg_color":"","slide_template_v7":"","footnotes":""},"categories":[4],"tags":[],"class_list":["post-2572","post","type-post","status-publish","format-standard","hentry","category-math"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>7th Gr Math (4\/5-4\/9) - Middle School<\/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:\/\/www.thesummitprep.org\/middleschool\/2021\/04\/08\/7th-gr-math-4-5-4-9\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"7th Gr Math (4\/5-4\/9) - Middle School\" \/>\n<meta property=\"og:description\" content=\"We have been discussing measures of center of data sets including means and Mean Absolute Deviation (average of distances from mean). We have been talking about the difference between sample means and population means and how their distributions differ. We have been emphasizing that the more data that is gathered, the closer a sample mean [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.thesummitprep.org\/middleschool\/2021\/04\/08\/7th-gr-math-4-5-4-9\/\" \/>\n<meta property=\"og:site_name\" content=\"Middle School\" \/>\n<meta property=\"article:published_time\" content=\"2021-04-08T14:33:23+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-04-08T14:33:42+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/www.thesummitprep.org\\\/middleschool\\\/2021\\\/04\\\/08\\\/7th-gr-math-4-5-4-9\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.thesummitprep.org\\\/middleschool\\\/2021\\\/04\\\/08\\\/7th-gr-math-4-5-4-9\\\/\"},\"author\":{\"name\":\"\",\"@id\":\"\"},\"headline\":\"7th Gr Math (4\\\/5&#8211;4\\\/9)\",\"datePublished\":\"2021-04-08T14:33:23+00:00\",\"dateModified\":\"2021-04-08T14:33:42+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/www.thesummitprep.org\\\/middleschool\\\/2021\\\/04\\\/08\\\/7th-gr-math-4-5-4-9\\\/\"},\"wordCount\":216,\"articleSection\":[\"Math\"],\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/www.thesummitprep.org\\\/middleschool\\\/2021\\\/04\\\/08\\\/7th-gr-math-4-5-4-9\\\/\",\"url\":\"https:\\\/\\\/www.thesummitprep.org\\\/middleschool\\\/2021\\\/04\\\/08\\\/7th-gr-math-4-5-4-9\\\/\",\"name\":\"7th Gr Math (4\\\/5-4\\\/9) - Middle School\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.thesummitprep.org\\\/middleschool\\\/#website\"},\"datePublished\":\"2021-04-08T14:33:23+00:00\",\"dateModified\":\"2021-04-08T14:33:42+00:00\",\"author\":{\"@id\":\"\"},\"breadcrumb\":{\"@id\":\"https:\\\/\\\/www.thesummitprep.org\\\/middleschool\\\/2021\\\/04\\\/08\\\/7th-gr-math-4-5-4-9\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/www.thesummitprep.org\\\/middleschool\\\/2021\\\/04\\\/08\\\/7th-gr-math-4-5-4-9\\\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/www.thesummitprep.org\\\/middleschool\\\/2021\\\/04\\\/08\\\/7th-gr-math-4-5-4-9\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/www.thesummitprep.org\\\/middleschool\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"7th Gr Math (4\\\/5&#8211;4\\\/9)\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/www.thesummitprep.org\\\/middleschool\\\/#website\",\"url\":\"https:\\\/\\\/www.thesummitprep.org\\\/middleschool\\\/\",\"name\":\"Middle School\",\"description\":\"Just another The Summit Preparatory School Sites site\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/www.thesummitprep.org\\\/middleschool\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":\"Person\",\"@id\":\"\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"7th Gr Math (4\/5-4\/9) - Middle School","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.thesummitprep.org\/middleschool\/2021\/04\/08\/7th-gr-math-4-5-4-9\/","og_locale":"en_US","og_type":"article","og_title":"7th Gr Math (4\/5-4\/9) - Middle School","og_description":"We have been discussing measures of center of data sets including means and Mean Absolute Deviation (average of distances from mean). 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