The table below shows the lengths (in cm) of 32 cucumbers. To calculate the cumulative frequencies, we simply add the frequencies in turn as we go down the values in the table.

There are 30 students, so we are looking for the group which contains the \((30 + 1) \div 2 = 15\frac{1}{2}th\) value, which lies halfway betwen the 15th and the 16th value. The cumulative frequency ...