Page 265 - ICSE Math 8
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3.  The ages of 50 teachers working in a secondary school in a big city are given in the table.
                         (a)  What is the class size?                               Age (in years) Number of teachers
                         (b)  What is the lower limit of the class 40–45?               20–25                2

                         (c)  What is the upper limit of 55–60?                         25–30                4
                         (d)  What is the class-mark of the class 30–35?                30–35                5
                         (e)  What is the frequency of class interval 35–40?            35–40               10
                                                                                                            15
                                                                                        40–45
                      4.  The weekly wages of 25 workers in a factory are as follows:   45–50                8
                         225, 210, 280, 265, 278, 300, 325, 321, 315, 245, 250, 315, 210,   50–55            5
                        268, 265, 324, 306, 301, 325, 289, 290, 293, 305, 303, 299      55–60                1
                         Construct a grouped frequency distribution table.              Total               50

                      5.  The maximum temperature (in degree Celsius) and relative humidity (in per cent) for a city for the month
                        of June 2011, as reported by Meteorological department, are given below. Construct a frequency table
                        for each.
                         Maximum temperature (in degree Celsius):
                         32.5, 30.5, 33.8, 31.0, 28.6, 33.9, 33.3, 32.4, 30.4, 32.6, 34.7, 31.9, 35.2, 35.3, 35.5,
                         36.4, 36.9, 37.0, 34.4, 32.5, 31.4, 34.4, 35.6, 37.3, 37.5, 36.9, 37.0, 36.3, 36.9, 36.7
                         Relative humidity (in per cent):
                         90, 97, 92, 95, 93, 95, 93, 85, 83, 85, 83, 77, 83, 77, 74, 60, 71, 65, 74, 80, 87, 82,
                         81, 76, 61, 63, 58, 58, 56, 57
                      6.  The final marks in Mathematics of 30 students are as follows:
                         55, 60, 48, 65, 78, 42, 55, 100, 92, 35, 42, 55, 63, 31, 82, 84, 90, 95, 67, 58, 75, 81,
                         39, 72, 79, 93, 62, 54, 47, 41
                         (a)  Arrange these in groups 30–39, 40–49 and so on.   (b)  What is the lowest score?
                         (c)  What is the range of the given data?
                         (d)   How many got distinction (i.e., 75 and above)?   (e)  How many scored 90 and above?
                         (f)  If 40 is the passing mark, how many students passed?
                      7.  The following table shows the life expectancy (average age to which people live) in various countries in
                        a particular year. Represent the data in a bar graph.

                          Country                          China         India      Malaysia      Canada      England

                          Life expectancy (in years)         76           57           43           36           70

                      8.  The following data shows the percentage wins in ODI by top 8 cricket teams. Represent it in a double
                        bar graph.

                         Teams                     South   Australia  Sri     New     England Pakistan     West    India
                                                   Africa            Lanka Zealand                         Indies

                         From Champions             75%      61%     54%      47%       46%       45%       44%    43%
                         Trophy to World Cup-06

                         Last 10 ODI in 2007        78%      40%     38%      50%       40%       44%       30%    56%

                      9.  The following table shows the subjects preferred by 300 students of a school during a survey. Represent
                        it in a pie chart.

                                Subjects          Maths Science    English         Hindi         Social Science   Total
                          Number of students       75       60        90            40                35          300



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