The following cumulative frequency table shows the examination marks for 300 candidates in country $A$ and 300 candidates in country $B$.
a) Without drawing a graph, show that the median for country $B$ is higher than the median for country $A$.
b) Find the number of candidates in country $A$ who scored between 20 and 34 marks inclusive.
c) Calculate an estimate of the mean mark for candidates in country $A$.

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