The list shows the number of laps completed by a swimmer over 8 training sessions, given in ascending order.
\(p\qquad2p\qquad16\qquad19\qquad23\qquad27\qquad30\qquad\dfrac q2\)
The mean number of laps is 21.
The range of the data is 29.
Form two equations in \(p\) and \(q\), and hence find the value of \(p\) and of \(q\).[4]
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