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IB Maths AA 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.

Syllabus
First assessment 2021
Course
Mathematics: analysis and approaches SL
Level
SL

Exam points

  • Construct and interpret frequency tables, histograms and cumulative-frequency graphs.
  • Read median, quartiles, percentiles, range and IQR from grouped or graphical data.
  • Compare box-and-whisker diagrams and identify skew, spread and possible outliers.
  • Use the 1.5 IQR fence to justify whether a data value is an outlier.

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

IB Maths AA SL 4.2 Data Presentation Questions question 1

[Maximum number: 8]

The following cumulative frequency graph shows the monthly income, I dollars, of 2000 families.

Figure for Question IB Maths AA SL 4.2 Data Presentation Questions question 1 — IB Maths AA SL

Question (a)

(a)

Find the median monthly income.

[ 2 ]

Question (b)

(b)

Write down the number of families who have a monthly income of 2000 dollars or less.

[ 1 ]

Question (c)

(c)

Find the number of families who have a monthly income of more than 4000 dollars.

The 2000 families live in two different types of housing. The following table gives information about the number of families living in each type of housing and their monthly income I.

Table for Question (c) — IB Maths AA SL
[ 3 ]

Question (d)

(d)

Find the value of p.

[ 2 ]
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