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                 \ 06-Jan-2025  Bharat Arora   Proof-6             Reader’s Sign _______________________ Date __________





                Example 7: Given below is a pie chart showing the time spent by a group of 350 children in different

                games. Observe it and answer the questions that follow.
                                                                                less than 1 h
                                             34%                                1 h
                                                                   30%
                                                                                2 h
                                                                                3 h
                                                                                4 h
                                               4%
                                                                 16%            5 h
                                                   6%
                                                       10%
                           (  a)   How many children spend at least one hour in playing games?
                           (  b)   How many children spend more than 2 hours in playing games?

                           (  c)   Calculate the central angle for the children who spend 3 or fewer hours in playing

                               games.
                           (  d)   Which is greater — the number of children who spend 2 hours or more per day or
                               the number of children who play for less than one hour?

                Solution: (a)  Percentage of children who spend at least one hour in playing games

                                    = 16% + 30% + 34% + 10% + 4% = 94%

                                So, the number of children who spend at least one hour in playing games

                                                     94
                                    = 94% of 350 =       × 350 = 329
                                                    100
                           (  b)  Percentage of children who spend more than 2 hours in playing games
                                    = 34% + 10% + 4% = 48%

                                So, the number of children who spend more than 2 hours in playing games

                                                     48
                                    = 48% of 350 =       × 350 = 168
                                                    100
                           (  c)  Percentage of children who spend  3 or fewer hours in playing games

                                    = 6% + 16% + 30% + 34% = 86%
                                So, the central angle for the children who spend  3 or fewer hours in playing games

                                                      86
                                    = 86% of 360° =       × 360° = 309.6°
                                                     100
                           (  d)  Percentage of children who spend 2 hours or more per day

                                    = 30% + 34% + 10% + 4% = 78%

                                Percentage of children who play for less than one hour = 6%

                                 Since 78% > 6%.

                                 Therefore, the number of children who spend 2 hours or more per day is greater
                               than the number of children who play for less than one hour.

                                                                  107                                       Data Handling
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