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.
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IB MATH AI HL, Paper 3, May, 2021, TZ2, Solved Past Paper
Master the 2021 IB May for Paper 3 Mathematics AI HL with examiner tailored solutions and comments for TZ2
Question 1 [Explained]
Let's explore a scenario where a sociologist named Juliet is curious about whether earning more money tends to make doctors happier.
To do this, Juliet collected email addresses of doctors in her city and asked them to fill out a questionnaire without sharing their names. The survey asked the doctors to share their annual earnings and answer other questions that would help Juliet score their happiness on a scale from 0 to 100.
Out of 415 doctors Juliet reached out to, only 11 responded to her survey.
In simpler terms, Juliet is trying to find out if doctors who make more money are happier. She did this by sending out an anonymous survey asking for their yearly income and their happiness level on a scale from 0 to 100. Only 11 out of the 415 doctors she reached out to answered the survey.
Video Solution by an IB Examiner - Coming soon
Question 1 [a] [i] [Explanation]
Identify a strategy that Juliet could utilize to enhance the consistency of her experiment.
Describe a specific method that Juliet can implement to increase the reliability of her investigation results.
Question 1 [a] [ii] [Explanation]
Identify one criticism regarding the validity of Juliet's investigation.
This question asks you to pinpoint a single potential flaw or limitation in Juliet's research that could affect the accuracy or trustworthiness of her findings.
Question 1 [b] [Explanation]
Consider the set of results presented by Juliet. Within this dataset, she identifies entry K as deviating significantly from the rest and decides to exclude it from further analysis.
Propose one rationale behind Juliet’s decision to designate response K as atypical and consequently omit it from her dataset.
Juliet has a collection of results. Among these results, she finds that one particular entry, labeled K, stands out because it is very different from the others. Due to this significant difference, she chooses to remove this entry from her analysis. The question asks for one possible reason why Juliet might consider this entry as unusual and decide to exclude it.
Response | Annual income ($) | Happiness score |
|---|---|---|
A | 65000 | 60 |
B | 63000 | 52 |
C | 40000 | 31 |
D | 125000 | 81 |
E | 100000 | 48 |
F | 245000 | 61 |
G | 48000 | 42 |
H | 39000 | 40 |
I | 85000 | 57 |
J | 92000 | 53 |
K | 123456789 | 56 |