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IB Maths AI SL 4.2 Data presentation Question Bank

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

Syllabus
First assessment 2021
Course
Mathematics: applications and interpretation SL
Level
SL

Exam points

  • identify the mathematical structure, variable or representation
  • select and apply the correct theorem, formula or algorithm
  • check the result using units, domain, graph or logical reasoning

SL 4.2—Data presentation question 1

[Maximum number: 10]

Elsie, a librarian, wants to investigate the length of time, T minutes, that people spent in her library on a particular day.

Question (a)

(a)

Elsie's data for 160 people who visited the library on that particular day is shown in the following table.

Table for Question (a) — IB Maths AI SL

Find the value of k.

[ 2 ]

Question (b)

(b)

Using the table, write down the maximum possible number of people who spent 35 minutes or less in the library on that day.

Elsie assumes her data to be representative of future visitors to the library.

[ 1 ]

Question (c)

(c)

The following box and whisker diagram shows the times, in minutes, that the 160 visitors spent in the library.

Figure for Question (c) — IB Maths AI SL

Write down the median time spent in the library.

[ 1 ]

Question (d)

(d)

Find the interquartile range.

[ 2 ]

Question (e)

(e)

Hence show that the longest time that a person spent in the library is not an outlier.

Elsie believes the box and whisker diagram indicates that the times spent in the library are not normally distributed.

[ 3 ]

Question (f)

(f)

Identify one feature of the box and whisker diagram which might support Elsie's belief.

[ 1 ]
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