THE FARMER HAS FEMALE SHEEP AND LAMBS (CAMBRIDGE PAST PAPER)


     The farmer has 20 female sheep.
     Each sheep has 0, 1, 2 or 3 lambs.
     The table shows this information.

    

Mathematics Cambridge IGCSE Test (0580 m16 qp 32)
     i) Calculate the mean number of lambs per sheep.
        Answer:

        Mean number of lambs per sheep is
 
        = ( 0x1 + 1x4 + 2x12 + 3x3 ) lambs divided by total sheep
                                                       
        = ( 0x1 + 1x4 + 2x12 + 3x3 ) lambs / 20 sheep

        =  1.85   

     ii) The farmer takes 1 lamb away from each of the sheep with 3 lambs.
         These lambs are given to 3 of the 4 sheep that have 1 lamb.
         Complete the table after the farmer has done this.



         Answer:

         1 lamb is taken away from each of the sheep with 3 lambs. So there is no                      sheep which has 3 sheep.

         Then for every 1 lamb which is already taken, will be given to the sheep which          only has 1 lamb.

         So only  one sheep which has 1 lamb.    

         Finally, the sheep which has 2 lambs are 18 sheeps.

female sheep (CAMBRIDGE PAST PAPER)



(iii)  Explain why the mean number of lambs per sheep does not change.

        Answer:

        Same total number of sheep and same total number of lambs.



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