IB Maths AA HL Sl 4 2 Data Presentation Questions

Practise presenting data with frequency tables, histograms and cumulative-frequency graphs, then finding quartiles or comparing box-and-whisker diagrams and outliers.

Exam points

Construct and interpret frequency tables, histograms and cumulative-frequency graphs, using class widths and scales correctly.
Calculate and compare median, quartiles, percentiles, range and IQR from grouped or cumulative data, and identify or mark outliers on box-and-whisker diagrams.

[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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IB Maths AA HL Sl 4 2 Data Presentation Questions question 1