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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.

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.

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.

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

 

Calculator NOT allowed

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 an investigation into the duration of time, denoted as T minutes, that individuals spend in her library on a specific day. This study involves analyzing various aspects of the time data collected, including its classification, frequency distribution, and statistical measures such as mean, median, and interquartile range. Additionally, the investigation explores the probability of certain time intervals and assesses whether the data distribution aligns with normal distribution characteristics.

Question 1 [a] [Explanation]

This part of the question asks you to classify the variable T, which represents the time spent in the library, as either discrete or continuous.

Question 1 [b] [Explanation]

In this part, you are required to determine the value of k from the frequency table provided, which represents the number of people who spent a specific range of time in the library.

Question 1 [c] [i] [Explanation]

This part asks you to identify the modal class, which is the class interval with the highest frequency in the frequency table.

Question 1 [c] [ii] [Explanation]

This part requires you to determine the mid-interval value for the modal class identified in part (i).

Question 1 [d] [Explanation]

Using the data provided by Elsie, calculate an estimate of the mean time that people spent in the library.

Question 1 [e] [Explanation]

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

Question 1 [f] [Explanation]

Elsie assumes her data to be representative of future visitors to the library. Find the probability a visitor spends at least 60 minutes in the library.