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, cumulative-frequency graphs and related data displays.
Read or calculate medians, quartiles, percentiles, range and interquartile range from grouped or graphical data.
Use box plots and outlier rules to identify skew, compare distributions and determine possible data values.

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Study SL 4.2—Data presentation conceptsOpen the corresponding Concept lesson for explanations, examples and exam connections.

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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