There are 5000 schools in a certain country. The cumulative frequency table shows the number of pupils in a school and the corresponding number of schools.
a) Draw a cumulative frequency graph with a scale of $2{\text{ }}cm$ to 100 pupils on the horizontal axis and a scale of $2{\text{ }}cm$ to 1000 schools on the vertical axis. Use your graph to estimate the median number of pupils in a school.
b) 80% of the schools have more than $n$ pupils. Estimate the value of $n$ correct to the nearest ten.
c) Find how many schools have between 201 and 250 (inclusive) pupils.
d) Calculate an estimate of the mean number of pupils per school.
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