IB Maths AA HL 4.2 Data presentation Question Bank

Practise IB Mathematics SL/HL 4.2 by applying data presentation methods to exam-style questions.

Exam points

[Maximum number: 2]

The continuous random variable X has a probability density function given by

f(x)=\left\{\begin{array}{cc} k \sin \left(\frac{\pi x}{6}\right), & 0 \leq x \leq 6 \\ 0, & \text { otherwise } \end{array}\right.

Hence state the interquartile range of X.

from (c)(i) $Q_{1}=2$
as the graph is symmetrical about the middle value $x=3 \Rightarrow Q_{3}=4$
so interquartile range is
4-2
=2

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