Page 88 - Math SL HB Sem 3
P. 88

M  1 2/54{ATME/SP2,ENG/TZI  DL

         Do NOT write solutions on this page.






         ..4nswer all questiotts on the answer  sheets provided-  Please  start each question on a new page.
      (+'
              [Muimum     mark:  13J


              The histogram  below shows the time Z seconds taken  by 93 children to solve apvzzls.




                                   20                                     :t-:
                                            -L_'
                                             ti
                                    l8
                                             i:
                                    l6       li                          ' ,-'
                                                                          -t--:
                                    t4                                    _!i

                                    t2
                                           I                               tl
                                q          l--
                                    l0  it
                                     I

                                    6

                                    4

                                    2


                                    0     45 55 65 75 85 95 105 ll5  T

                                                        Time

              The following  is the frequency distribution  for Z.


            Time        45<T<55 55<r<65 65<T<75 75<r<85 85<7<95              95<r<t05 105<r<1  l5
            Frequency       7         14         p         20         l8         q           6


              (a) (i)  Write  down rhe value of p and of
                                                           4.

                    (ii)  Write down the median class.
                                                                                                      [3  marl<s]

              (b)  A child is selected at random.  Find the probability  that the child takes  less than
                    95 seconds to solve the puzzle.
                                                                                                      [2  marksJ





                                                                 (fhis question  continues  on the  following   page)



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