Question 8

From Math Analysis HL Paper 2 (May 2025, TZ2)

  1. [Maximum mark: 6]

The marks obtained by students in a class quiz are shown in the following table where p,qZ+p, q \in \mathbb{Z}^+.

Table showing marks and their corresponding frequencies, including variables p and q.
Table showing marks and their corresponding frequencies, including variables p and q.
MarksFrequency
2012
35qq
pp8

The mean and Variance of the marks are 31 and 124 respectively.

Find the value of pp and the value of qq.