{"id":3535,"date":"2023-10-05T11:11:49","date_gmt":"2023-10-05T11:11:49","guid":{"rendered":"http:\/\/localhost\/ecole9ja\/?p=3535"},"modified":"2023-10-05T11:16:19","modified_gmt":"2023-10-05T11:16:19","slug":"week-5-and-6-ss2-third-term-mathematics-notes","status":"publish","type":"post","link":"https:\/\/ecolebooks.com\/nigeria\/posts\/week-5-and-6-ss2-third-term-mathematics-notes\/","title":{"rendered":"Week 5 and 6 &#8211; SS2 Third Term Mathematics Notes"},"content":{"rendered":"<p><strong>WEEK FIVE<br \/>\n<\/strong><strong>TOPIC:   PRESENTATION OF DATA<br \/>\n<\/strong><\/p>\n<ul>\n<li>Cumulative Frequency Table.\n<\/li>\n<li>Cumulative Frequency Curve.\n<\/li>\n<\/ul>\n<p>\u00a0<strong>Cumulative Frequency Curve<br \/>\n<\/strong>The cumulative frequency curve is also called the <strong><em>OGIVE<\/em><\/strong>. It is the graph of the cumulative frequency against the upper class boundary.<\/p>\n<p>\u00a0<strong>Example<br \/>\n<\/strong>The table below shows the height of 200 people who were randomly picked.<\/p>\n<div>\n<table>\n<tbody>\n<tr>\n<td>Heights(cm)<\/td>\n<td>145  &#8211;     149<\/td>\n<td>150    &#8211;    154<\/td>\n<td>155     &#8211;   159<\/td>\n<td>160       &#8211;    164<\/td>\n<td>165    &#8211;    169<\/td>\n<td>170  &#8211;   174 <\/td>\n<td>175   &#8211;  179<\/td>\n<\/tr>\n<tr>\n<td>Frequency<\/td>\n<td>           5<\/td>\n<td>           18<\/td>\n<td>           50  <\/td>\n<td>             29<\/td>\n<td>         80<\/td>\n<td>            14<\/td>\n<td>          4<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p>Construct for the distribution above, a cumulative frequency curve.<\/p>\n<p>\u00a0<strong><em>Solution<\/em><\/strong>:<\/p>\n<div>\n<table>\n<tbody>\n<tr>\n<td>Heights<\/td>\n<td>Frequency<\/td>\n<td>Cumulative Frequency<\/td>\n<td>Upper Class Boundary<\/td>\n<\/tr>\n<tr>\n<td>145 \u2013 149<\/td>\n<td>5<\/td>\n<td>5<\/td>\n<td>&lt; 149.5<\/td>\n<\/tr>\n<tr>\n<td>150 \u2013 154<\/td>\n<td>18<\/td>\n<td>23<\/td>\n<td>&lt; 154.5<\/td>\n<\/tr>\n<tr>\n<td>155 \u2013 159<\/td>\n<td>50<\/td>\n<td>73<\/td>\n<td>&lt; 159.5<\/td>\n<\/tr>\n<tr>\n<td>160 \u2013 164<\/td>\n<td>29<\/td>\n<td>102<\/td>\n<td>&lt; 164.5<\/td>\n<\/tr>\n<tr>\n<td>165 \u2013 169<\/td>\n<td>80<\/td>\n<td>182<\/td>\n<td>&lt; 169.5<\/td>\n<\/tr>\n<tr>\n<td>170 \u2013 174<\/td>\n<td>14<\/td>\n<td>196<\/td>\n<td>&lt; 174.5<\/td>\n<\/tr>\n<tr>\n<td>175 \u2013 179<\/td>\n<td>4<\/td>\n<td>200<\/td>\n<td>&lt; 179.5<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p>\u00a0<img decoding=\"async\" src=\"https:\/\/ecolebooks.com\/nigeria\/wp-content\/uploads\/9jalessonsimages\/100523_1111_Week5and61.png\" alt=\"\"\/><strong>EVALUATION<\/strong><br \/>\n\t\tThe table shows the masses of a various quantities of maize sold by a farmer during the year 1985.<\/p>\n<div>\n<table>\n<tbody>\n<tr>\n<td>Mass (kg)<\/td>\n<td>40    &#8211;    43<\/td>\n<td>44    &#8211;    47<\/td>\n<td>48      &#8211;   51<\/td>\n<td>52    &#8211;    55<\/td>\n<td>56    &#8211;     59<\/td>\n<td>60    &#8211;    63<\/td>\n<td>64   -67<\/td>\n<td>68   &#8211; 71<\/td>\n<\/tr>\n<tr>\n<td>Frequency<\/td>\n<td>          7<\/td>\n<td>       18<\/td>\n<td>        32<\/td>\n<td>       48<\/td>\n<td>      41<\/td>\n<td>     28<\/td>\n<td>     17<\/td>\n<td>      19<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<ol>\n<li>Draw a cumulative frequency table. (b) Using a scale of 2cm to 4 kg on the x \u2013 axis and 2cm to 20units on the y \u2013 axis, draw the cumulative frequency curve.\n<\/li>\n<\/ol>\n<p>\u00a0<strong>GENERAL EVALUATION<br \/>\n<\/strong>Given the frequency distribution below. Draw a histogram and a cumulative frequency curve.<\/p>\n<div>\n<table>\n<tbody>\n<tr>\n<td>Height (cm)<\/td>\n<td>160     &#8211;  164<\/td>\n<td>165  &#8211;    169<\/td>\n<td>170   &#8211; 174<\/td>\n<td>175  &#8211; 179<\/td>\n<td>180   &#8211;  184<\/td>\n<td>185   &#8211;  189<\/td>\n<td>190   &#8211; 194<\/td>\n<\/tr>\n<tr>\n<td>Frequency<\/td>\n<td>          10<\/td>\n<td>          25<\/td>\n<td>       40<\/td>\n<td>         56<\/td>\n<td>         44<\/td>\n<td>         20<\/td>\n<td>         5<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p>\u00a0<strong>READING ASSIGNMENT<br \/>\n<\/strong>New General Mathematics SSS2, page164, exercise 14b.<\/p>\n<p>\u00a0<strong>WEEKEND ASSIGNMENT<br \/>\n<\/strong>The following table shows the distribution of the masses of 120 logs of wood, correct to the nearest kg.<\/p>\n<div>\n<table>\n<tbody>\n<tr>\n<td>Masses (kg)<\/td>\n<td>15      &#8211;     24<\/td>\n<td>25       &#8211;      34<\/td>\n<td>  35       &#8211;      44<\/td>\n<td>45      &#8211;    54<\/td>\n<td> 55    &#8211;    64<\/td>\n<\/tr>\n<tr>\n<td>Frequency<\/td>\n<td>           14<\/td>\n<td>            54<\/td>\n<td>           24<\/td>\n<td>            26<\/td>\n<td>           2<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p>1. Draw a histogram for the distribution.<br \/>\n2. Make a cumulative frequency table for the distribution.<br \/>\n3. Draw a cumulative frequency curve for the distribution.<br \/>\n   4. Use the graph to find the a. semi-interquartile range.b. 60th percentile.<\/p>\n<p>\u00a0<br \/>\n\u00a0<strong>WEEK SIX<br \/>\n<\/strong><strong>REVIEW OF THE FIRST HALF TERM WORK AND PERIODIC TEST<br \/>\n<\/strong><br \/>\n\u00a0<br \/>\n\t\t\u00a0<\/p>\n","protected":false},"excerpt":{"rendered":"<p>WEEK FIVE TOPIC: PRESENTATION OF DATA Cumulative Frequency Table. Cumulative Frequency Curve. \u00a0Cumulative Frequency Curve&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1,278],"tags":[],"class_list":["post-3535","post","type-post","status-publish","format-standard","hentry","category-posts","category-third-term-ss2-mathematics"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts\/3535","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/comments?post=3535"}],"version-history":[{"count":1,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts\/3535\/revisions"}],"predecessor-version":[{"id":3536,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts\/3535\/revisions\/3536"}],"wp:attachment":[{"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/media?parent=3535"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/categories?post=3535"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/tags?post=3535"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}