4400 Higher November 2006 Paper 3 Q4

EdexcelHigherOld spec6 marksGrouped DataPie Charts

4 There are 5 classes in a school.

(a) The pie chart shows information about the number of students in each class.
The pie chart is accurately drawn.
Accurately drawn pie chart with sectors A, B, C, D and E; sector E is a little more than a third of the circle
A student from the school is chosen at random.
Find the probability that this student is in class \(E\). (2)
(b) The table shows information about the ages of the students.
Age, \(x\) yearsFrequency
\(9 \leqslant x \lt 11\)30
\(11 \leqslant x \lt 13\)12
\(13 \leqslant x \lt 15\)18
\(15 \leqslant x \lt 19\)60
Calculate an estimate of the mean age of these students.
Give your answer correct to 3 significant figures. (4)