The table shows the scores of 2000 candidates in an entrance examination into a private secondary school. % Mark 11-20 21-30 31-40 41-50 51-60 61-70 71-80 8...

The table shows the scores of 2000 candidates in an entrance examination into a private secondary school.

(a) Prepare a cumulative frequency table and draw the cumulative frequency curve for the distribution.

(b) Use your curve to estimate the : (i) cut off mark, if 300 candidates are to be offered admission ; (ii) probability that a candidate picked at random, scored at least 45%.