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These are explanations and solutions for IB past papers, not the official version. For official papers, you can go to IB Follet or access them through your school.

01 Hours 30 Minutes

100 Marks

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IB MATH AI SL, Paper 2, November, 2022, TZ0, Solved Past Paper

Master the 2022 IB November for Paper 2 Mathematics AI SL with examiner tailored solutions and comments for TZ0

Question 1 [Explained]

Elsie, a librarian, is conducting a study to understand how long visitors spend in her library on a specific day. She records the time, denoted as $T$ minutes, that each person spends in the library.

This investigation involves analyzing the nature of the variable $T$ , determining the frequency of time intervals, and calculating various statistical measures such as the mean, median, and interquartile range. Additionally, Elsie aims to assess the probability of visitors spending a certain amount of time in the library and to evaluate whether the data suggests a normal distribution.

The analysis will involve interpreting a frequency table, a box-and-whisker plot, and applying statistical formulas to draw conclusions about the time spent by visitors in the library.

Question 1 [a] [Explanation]

Determine whether the variable $T$ is discrete or continuous.

This question asks you to classify the nature of the variable $T$ , which represents the time in minutes that people spend in the library. You need to decide if this variable can take on any value within a range (continuous) or if it can only take on specific, separate values (discrete).

Question 1 [b] [Explanation]

Find the value of $k$ in the frequency table.

This question requires you to determine the missing frequency value, $k$ , in the provided frequency table. The table shows the distribution of time intervals and their corresponding frequencies, and you need to use this information to find $k$ .

$\boldsymbol T$ (minutes)	0 \leq T<20	20 \leq T<40	40 \leq T<60	60 \leq T<80	80 \leq T<100
Frequency	50	62	k	14	8

Question 1 [c] [i] [Explanation]

Identify the modal class from the frequency table.

The modal class is the class interval with the highest frequency. This question asks you to determine which time interval has the most visitors based on the frequency table.