2025 Nov TZ3 P2 Q4

A teacher sets her class of \(30\) pupils a quiz.
Aiden and Brett were absent on the day of the quiz.
The following box and whisker diagram shows the results of the \(28\) pupils who took the quiz on the day.

Aiden and Brett take the quiz when they return.
Aiden scores less than \(6\).
Brett scores more than \(17\).

1. Explain, briefly, why the median score for all \(30\) pupils would still be \(10.5\).

   [1]

The mean score of the \(28\) pupils was \(10.5\).
The mean score for all \(30\) pupils is now \(10.6\).
The range of scores for all \(30\) pupils is \(14\).

2. Determine Aiden's score and Brett's score.

   [5]