Higher November 2021 Paper 2 Q3

EdexcelHigherCurrent spec5 marksBasic ProbabilityGrouped Data

3 The table gives information about the amounts of money, in euros, that 70 of Anjali’s friends spent last Saturday.

Money spent (S euros)Frequency
\(0 \lt S \leqslant 8\)6
\(8 \lt S \leqslant 16\)14
\(16 \lt S \leqslant 24\)19
\(24 \lt S \leqslant 32\)25
\(32 \lt S \leqslant 40\)6

One of Anjali’s 70 friends is going to be chosen at random.

(a) Find the probability that this friend spent more than 24 euros last Saturday. (1)
(b) Work out an estimate for the mean amount of money spent by Anjali’s friends last Saturday.
Give your answer correct to 2 decimal places. (4)