{"id":42,"date":"2025-01-02T23:03:47","date_gmt":"2025-01-02T23:03:47","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/data-organization-get-stronger-answer-key\/"},"modified":"2025-01-02T23:03:47","modified_gmt":"2025-01-02T23:03:47","slug":"data-organization-get-stronger-answer-key","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/data-organization-get-stronger-answer-key\/","title":{"raw":"Data Organization: Get Stronger Answer Key","rendered":"Data Organization: Get Stronger Answer Key"},"content":{"raw":"\n<ol style=\"list-style-type: decimal;\">\n\t<li>\n<ol style=\"list-style-type: lower-alpha;\">\n\t<li class=\"lt-math-41801\" style=\"text-align: left;\">Different tables are possible<br>\n[latex]\\begin{array}{|l|l|}<br>\n\\hline \\text { Score } &amp; \\text { Frequency } \\\\<br>\n\\hline 30 &amp; 1 \\\\<br>\n\\hline 40 &amp; 0 \\\\<br>\n\\hline 50 &amp; 4 \\\\<br>\n\\hline 60 &amp; 3 \\\\<br>\n\\hline 70 &amp; 6 \\\\<br>\n\\hline 80 &amp; 5 \\\\<br>\n\\hline 90 &amp; 2 \\\\<br>\n\\hline 100 &amp; 3 \\\\<br>\n\\hline<br>\n\\end{array}[\/latex]<\/li>\n\t<li>This is technically a bar graph, not a histogram:<br>\n<img class=\"internal alignnone\" src=\"https:\/\/math.libretexts.org\/@api\/deki\/files\/45422\/clipboard_ea99cefb4a8bc3d6c75c46cd897e990c1.png?revision=1\" alt=\"Bar graph\" width=\"352\" height=\"201\"><\/li>\n\t<li><img class=\"alignnone size-full wp-image-13548\" src=\"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-content\/uploads\/sites\/18\/2023\/07\/clipboard_e0fcb81c339f46050406fc822de454710.png#fixme\" alt=\"\" width=\"231\" height=\"244\"><\/li>\n<\/ol>\n<\/li>\n\t<li>&nbsp;<\/li>\n\t<li>[latex]5+3+4+2+12 = 15[\/latex]<br>\n[latex]5\/15 = 0.3333 = 33.33\\%[\/latex]<\/li>\n\t<li>&nbsp;<\/li>\n\t<li>Bar is at [latex]25\\%[\/latex]. [latex]25\\%[\/latex] of [latex]20[\/latex] = [latex]5[\/latex] students earned an A<\/li>\n\t<li>&nbsp;<\/li>\n\t<li>\n<ol style=\"list-style-type: lower-alpha;\">\n\t<li>[latex](7.25+8.25+9.00+8.00+7.25+7.50+8.00+7.00)\/8 = $7.781[\/latex]<\/li>\n\t<li>In order, [latex]7.50&nbsp; [\/latex] and [latex] 8.00[\/latex] are in middle positions. Median = [latex]$7.75[\/latex]<\/li>\n\t<li>[latex]0.25*8 = 2 Q1[\/latex] is average of = [latex]2[\/latex]nd and [latex]3[\/latex]rd data values: [latex]$7.375 0.75*8 = 6[\/latex]; [latex]Q3[\/latex] is the average of [latex]6[\/latex]th and [latex]7[\/latex]th data values: [latex]$8.125[\/latex]; 5 number summary: [latex]$7.00, $7.375, $7.75, $8.125, $9.00 [\/latex]<\/li>\n<\/ol>\n<\/li>\n\t<li>&nbsp;<\/li>\n\t<li>\n<ol style=\"list-style-type: lower-alpha;\">\n\t<li>([latex]5[\/latex] x [latex]0[\/latex] + [latex]3[\/latex] x [latex]1[\/latex] + [latex]4[\/latex] x [latex]2[\/latex] + [latex]2[\/latex] x [latex]3[\/latex] + [latex]1[\/latex] x [latex]5[\/latex])\/[latex]15[\/latex] = [latex]1.4667[\/latex]<\/li>\n\t<li>Median is [latex]8[\/latex]th data value: [latex]1[\/latex] child<\/li>\n\t<li>[latex]0.25x15 = 3.75[\/latex]. Q1 is 4th data value: [latex]0[\/latex] children [latex] 0.75*15 = 11.25[\/latex]; Q3 is 12th data value: [latex]2[\/latex]; 5-number summary: [latex]0,0 1,2,5[\/latex]<\/li>\n\t<li><img class=\"alignnone size-full wp-image-13563\" src=\"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-content\/uploads\/sites\/18\/2023\/07\/clipboard_e9f1f1ea7c3ee82b36ee6da2e01e6dacf.png#fixme\" alt=\"\" width=\"670\" height=\"113\"><\/li>\n<\/ol>\n<\/li>\n\t<li>&nbsp;<\/li>\n\t<li>Kendra makes [latex]$90,000[\/latex]. Kelsey makes [latex]$40,000[\/latex]. Kendra makes [latex]$50,000[\/latex] more.<\/li>\n\t<li>&nbsp;<\/li>\n<\/ol>\n<p>Answers for questions 13-24 can be found in this Google Sheet: <a href=\"https:\/\/docs.google.com\/spreadsheets\/d\/1Yu4H8NQwap_-U1GkIqxacMwR4KlR0he1gSMjdDcwkI4\/edit?usp=sharing\">Data Organization: Get Stronger Solutions to Questions 13-24 <\/a>.<\/p>\n","rendered":"<ol style=\"list-style-type: decimal;\">\n<li>\n<ol style=\"list-style-type: lower-alpha;\">\n<li class=\"lt-math-41801\" style=\"text-align: left;\">Different tables are possible<br \/>\n[latex]\\begin{array}{|l|l|}<br \/> \\hline \\text { Score } & \\text { Frequency } \\\\<br \/> \\hline 30 & 1 \\\\<br \/> \\hline 40 & 0 \\\\<br \/> \\hline 50 & 4 \\\\<br \/> \\hline 60 & 3 \\\\<br \/> \\hline 70 & 6 \\\\<br \/> \\hline 80 & 5 \\\\<br \/> \\hline 90 & 2 \\\\<br \/> \\hline 100 & 3 \\\\<br \/> \\hline<br \/> \\end{array}[\/latex]<\/li>\n<li>This is technically a bar graph, not a histogram:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"internal alignnone\" src=\"https:\/\/math.libretexts.org\/@api\/deki\/files\/45422\/clipboard_ea99cefb4a8bc3d6c75c46cd897e990c1.png?revision=1\" alt=\"Bar graph\" width=\"352\" height=\"201\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-13548\" src=\"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-content\/uploads\/sites\/18\/2023\/07\/clipboard_e0fcb81c339f46050406fc822de454710.png#fixme\" alt=\"\" width=\"231\" height=\"244\" \/><\/li>\n<\/ol>\n<\/li>\n<li>&nbsp;<\/li>\n<li>[latex]5+3+4+2+12 = 15[\/latex]<br \/>\n[latex]5\/15 = 0.3333 = 33.33\\%[\/latex]<\/li>\n<li>&nbsp;<\/li>\n<li>Bar is at [latex]25\\%[\/latex]. [latex]25\\%[\/latex] of [latex]20[\/latex] = [latex]5[\/latex] students earned an A<\/li>\n<li>&nbsp;<\/li>\n<li>\n<ol style=\"list-style-type: lower-alpha;\">\n<li>[latex](7.25+8.25+9.00+8.00+7.25+7.50+8.00+7.00)\/8 = $7.781[\/latex]<\/li>\n<li>In order, [latex]7.50&nbsp;[\/latex] and [latex]8.00[\/latex] are in middle positions. Median = [latex]$7.75[\/latex]<\/li>\n<li>[latex]0.25*8 = 2 Q1[\/latex] is average of = [latex]2[\/latex]nd and [latex]3[\/latex]rd data values: [latex]$7.375 0.75*8 = 6[\/latex]; [latex]Q3[\/latex] is the average of [latex]6[\/latex]th and [latex]7[\/latex]th data values: [latex]$8.125[\/latex]; 5 number summary: [latex]$7.00, $7.375, $7.75, $8.125, $9.00[\/latex]<\/li>\n<\/ol>\n<\/li>\n<li>&nbsp;<\/li>\n<li>\n<ol style=\"list-style-type: lower-alpha;\">\n<li>([latex]5[\/latex] x [latex]0[\/latex] + [latex]3[\/latex] x [latex]1[\/latex] + [latex]4[\/latex] x [latex]2[\/latex] + [latex]2[\/latex] x [latex]3[\/latex] + [latex]1[\/latex] x [latex]5[\/latex])\/[latex]15[\/latex] = [latex]1.4667[\/latex]<\/li>\n<li>Median is [latex]8[\/latex]th data value: [latex]1[\/latex] child<\/li>\n<li>[latex]0.25x15 = 3.75[\/latex]. Q1 is 4th data value: [latex]0[\/latex] children [latex]0.75*15 = 11.25[\/latex]; Q3 is 12th data value: [latex]2[\/latex]; 5-number summary: [latex]0,0 1,2,5[\/latex]<\/li>\n<li><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-13563\" src=\"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-content\/uploads\/sites\/18\/2023\/07\/clipboard_e9f1f1ea7c3ee82b36ee6da2e01e6dacf.png#fixme\" alt=\"\" width=\"670\" height=\"113\" \/><\/li>\n<\/ol>\n<\/li>\n<li>&nbsp;<\/li>\n<li>Kendra makes [latex]$90,000[\/latex]. Kelsey makes [latex]$40,000[\/latex]. Kendra makes [latex]$50,000[\/latex] more.<\/li>\n<li>&nbsp;<\/li>\n<\/ol>\n<p>Answers for questions 13-24 can be found in this Google Sheet: <a href=\"https:\/\/docs.google.com\/spreadsheets\/d\/1Yu4H8NQwap_-U1GkIqxacMwR4KlR0he1gSMjdDcwkI4\/edit?usp=sharing\">Data Organization: Get Stronger Solutions to Questions 13-24 <\/a>.<\/p>\n","protected":false},"author":6,"menu_order":10,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":3,"module-header":"","content_attributions":[],"internal_book_links":[],"video_content":null,"cc_video_embed_content":{"cc_scripts":"","media_targets":[]},"try_it_collection":null,"_links":{"self":[{"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/pressbooks\/v2\/chapters\/42"}],"collection":[{"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/wp\/v2\/users\/6"}],"version-history":[{"count":0,"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/pressbooks\/v2\/chapters\/42\/revisions"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/pressbooks\/v2\/chapters\/42\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/wp\/v2\/media?parent=42"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/pressbooks\/v2\/chapter-type?post=42"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/wp\/v2\/contributor?post=42"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/wp\/v2\/license?post=42"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}