{"id":1291,"date":"2023-09-27T14:17:08","date_gmt":"2023-09-27T14:17:08","guid":{"rendered":"http:\/\/localhost\/ecole9ja\/?p=1291"},"modified":"2023-09-27T14:18:35","modified_gmt":"2023-09-27T14:18:35","slug":"week-5-and-6-jss-2-third-term-mathematics-lesson-notes","status":"publish","type":"post","link":"https:\/\/ecolebooks.com\/nigeria\/posts\/week-5-and-6-jss-2-third-term-mathematics-lesson-notes\/","title":{"rendered":"Week 5 and 6 – Jss 2 Third Term Mathematics Lesson Notes"},"content":{"rendered":"

WEEK 5AND 6\u00a0\u00a0\u00a0\u00a0STATISTICS
\n<\/strong>
\n\u00a0FREQUENCY TABLE
\n<\/strong>EXAMPLE 1: The following figures show the number of children per family in a sample of 40 household. 1, 2, 4, 3, 5, 3, 8, 3, 2, 3, 4, 5, 6, 5, 4, 2, 1, 3, 2, 4, 5, 3, 8, 7, 6, 5, 4, 5, 7, 6, 3, 8, 6, 3, 5, 7, 5, 4, 3.<\/p>\n

    \n
  1. \n
    Use a tally mark to prepare a frequency table for the data\n<\/div>\n<\/li>\n
  2. \n
    What is the highest frequency of numbers of children per family?\n<\/div>\n<\/li>\n<\/ol>\n

    \"\"\/\"\"\/Solution
    \n\"\"\/NUMBER\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0TALLY\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0FREQUENCY
    \n1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\/\/\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a02
    \n2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\/\/\/\/\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a05
    \n\"\"\/3\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\/\/\/\/ \/\/\/\/\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a09
    \n\"\"\/4\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\/\/\/\/ \/\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a06
    \n\"\"\/5\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\/\/\/\/ \/\/\/\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a08
    \n6\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\/\/\/\/\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a04
    \n7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\/\/\/\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a03
    \n\"\"\/8\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\/\/\/\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a03
    \n\"\"\/\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a040
    \n3 is the highest frequency of numbers of children<\/p>\n

    \u00a0
    \n\u00a0
    \n\u00a0
    \n\u00a0
    \n\u00a0Example 2: In a further mathematics test the following marks were obtained by a group of students 85, 75, 95, 80, 75, 80, 90, 84, 95, 84, 85, 80, 80, 75, 80, 75, 80, 84, 81, 80, 75, 90, 80.
    \nUse tally mark to prepare a frequency table for this data.
    \n\"\"\/Solution:
    \n\"\"\/\"\"\/NUMBER\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0TALLY\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0FREQUENCY
    \n\"\"\/75\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\/\/\/\/\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a05
    \n\"\"\/80\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\/\/\/\/\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a09
    \n81\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\/\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01
    \n84\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\/\/\/ \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a03
    \n85\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\/\/\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a02
    \n90\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\/\/\/\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a03
    \n95\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\/\/\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a02<\/p>\n

      \n
    1. \n
      How many students took part in the test? 25 students\n<\/div>\n<\/li>\n
    2. \n
      Which mark had the highest frequency? 80 marks\n<\/div>\n<\/li>\n<\/ol>\n

      AVERAGE, MEAN MEDIAN AND MODE
      \n<\/strong>Average is a single value used to represent a set of numbers (i.e all value in as et data)
      \nThe most common ly used statistics is average.
      \n\"\"
      \n\t\t\t<\/strong>MEDIAN = THE NUMBER AT THE MIDDLE AFTER THE ARRANGEMENT OF THE DATA.
      \n<\/strong>MODE IS THE VALUE THAT OCCURS MOST FREQUENTLY.
      \n<\/strong>EXAMPLES:<\/strong> Calculate the mean, media and mode of the following data<\/p>\n

        \n
      1. \n
        45, 50, 55, 54, 48, 53, 50, 55\n<\/div>\n<\/li>\n
      2. \n
        38, 35, 36, 30.8, 34.7, 37.9, 33.1\n<\/div>\n<\/li>\n
      3. \n
        3, 0,4,7, 0, 5, 3, 4, 0, 3, 6, 5, 5 ,4, 6, 5\n<\/div>\n<\/li>\n<\/ol>\n

        Solution:
        \nMean = 45+50+ 55+ 54+ 48+ 53+ 50+ 55
        \n\t\t 8
        \n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0= 410\/8
        \n<\/strong>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0= 51.25
        \n<\/strong>Median = 45, 48, 50, 50, 53, 54, 55,55
        \n<\/strong>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a050 + 53
        \n<\/strong>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0\u00a0
        \n<\/strong>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0= 52
        \n<\/strong>Mode = 50 and 55
        \n<\/strong>
        \n\u00a0<\/p>\n

        Average
        \n<\/h3>\n

        The average or mean of a set of numbers is defined by the formula:
        \n\"\"
        \n\t\tExample
        \n\"\"
        \n\t\tBar Charts
        \n<\/strong>A Bar chart is a series of rectangular bars of the same width, drawn vertically or horizontally, with an equal space between them, with the height of each bar being a depiction of the data it is representing.
        \nExample
        \nThe table below lists several models of Blackberry cellular phones and the amount of each that an electronic store has in stock. Draw a vertical and horizontal bar chart to represent the data.<\/p>\n

        \n\n\n\n\n\n\n\n\n\n
        Blackberry Phones<\/strong><\/td>\nStock Amount<\/strong><\/td>\n<\/tr>\n
        Blackberry Curve 8310<\/td>\n75<\/td>\n<\/tr>\n
        Blackberry Curve 8320<\/td>\n100<\/td>\n<\/tr>\n
        Blackberry Pearl 8100<\/td>\n50<\/td>\n<\/tr>\n
        Blackberry Bold 9650<\/td>\n200<\/td>\n<\/tr>\n
        Blackberry Bold 9000<\/td>\n150<\/td>\n<\/tr>\n
        Blackberry Curve 8520<\/td>\n125<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

        \"\"
        \n\t\t\"\"
        \n\t\tPie Charts
        \n<\/strong>A Pie chart is a circular diagram divided into sectors, with the size of each sector representing the magnitude of data it is depicting. Each sector of a pie chart can either be displayed in percentages (note all sectors must add up to 100%) or as an angle (note all sectors must add up to 360o<\/sup>).
        \nExample
        \nThe table below lists some of the most popular football clubs and the number of students at a given institution that supports each. Use a Pie chart to represent the information given in the table.<\/p>\n

        \n\n\n\n\n\n\n\n\n\n\n\n
        Football Clubs<\/strong><\/td>\nNumber of Students<\/strong><\/td>\n<\/tr>\n
        Chelsea<\/td>\n50<\/td>\n<\/tr>\n
        Manchester United<\/td>\n200<\/td>\n<\/tr>\n
        Barcelona<\/td>\n350<\/td>\n<\/tr>\n
        Real Madrid<\/td>\n150<\/td>\n<\/tr>\n
        Inter Milan<\/td>\n25<\/td>\n<\/tr>\n
        Arsenal<\/td>\n100<\/td>\n<\/tr>\n
        Liverpool<\/td>\n40<\/td>\n<\/tr>\n
        AC Milan<\/td>\n75<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

        \u00a0\"\"
        \n\t\tThe Pie Chart above depicts each sector as percentages. To calculate the percentages for each sector use the formula below:
        \n% of a sector\u00a0\u00a0\u00a0\u00a0\u00a0 =\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Number of students\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 x\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 100
        \n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Total number of students
        \nSo, to calculate the percentage of Chelsea fans:
        \n% of Chelsea fans\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 =\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 50\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 x\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 100
        \n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 990
        \n% of Chelsea fans\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 =\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 5%
        \nFor Pie charts which depicts each sector as angles, the angles for each sector is found using the formula below:
        \nAngle of a sector\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 =\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Number of students\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 x\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 360
        \n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Total number of students\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0
        \nSo, to calculate the angle of the Chelsea sector:
        \nAngle of Chelsea sector\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 =\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 50\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 x\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 360
        \n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 990
        \nAngle of Chelsea sector\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 =\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 18o<\/sup>
        \n\t\tNote<\/strong>: \u00a0\u00a0 In most cases the questions set on Pie charts require those drawn depicting sectors in percentages.<\/p>\n

        \u00a0Line Graphs
        \n<\/strong>Line graphs are mostly used in depicting trends, and as such, values are in most cases plotted against time. A line graph is drawn by connecting a line to consecutive values, with a circle\/point made at each value being depicted.
        \nExample
        \nThe table below lists the amount of Toyota motor vehicles produced in the month of April over the period 2000- 2010.<\/p>\n

        \n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
        Year<\/strong><\/td>\nNumber of Toyota Motor Vehicles Produced<\/strong><\/td>\n<\/tr>\n
        2000<\/td>\n220,382<\/td>\n<\/tr>\n
        2001<\/td>\n260,879<\/td>\n<\/tr>\n
        2002<\/td>\n213,546<\/td>\n<\/tr>\n
        2003<\/td>\n238,890<\/td>\n<\/tr>\n
        2004<\/td>\n227,678<\/td>\n<\/tr>\n
        2005<\/td>\n245,376<\/td>\n<\/tr>\n
        2006<\/td>\n240,224<\/td>\n<\/tr>\n
        2007<\/td>\n224,100<\/td>\n<\/tr>\n
        2008<\/td>\n258,100<\/td>\n<\/tr>\n
        2009<\/td>\n248,024<\/td>\n<\/tr>\n
        2010<\/td>\n249,123<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

        \u00a0\"\"<\/p>\n","protected":false},"excerpt":{"rendered":"

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