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Collecting and Organizing Data — Free MYP4 Mathematics (Standard) Practice Questions
1QuestionDesigning Surveys and QuestionnairesAssessment Practice
2 marks~3 minCriterion C
A school survey asks: "Do you agree that starting school later would improve student well-being and academic performance?"
a
Explain why the wording of this question may produce biased responses. [1]
b
Propose a revised survey question that minimises bias, and justify how your revision better reflects the full range of student opinions. [1]
Solutions
2QuestionTypes of Data Discrete vs ContinuousAssessment Practice
8 marks~12 minCriterion D
Data
heart rate (beats per minute, to one decimal place), number of hospital visits in the past year, blood type (A, B, AB, O), and body temperature (degrees Celsius, to one decimal place).A hospital records four types of patient
a
Classify each of the four data types as discrete or continuous. Justify each classification. [2]
b
A software bug rounds all continuous data to the nearest integer before storing it. A patient's true heart rate fluctuates between bpm and bpm, but is stored as bpm throughout. Discuss how this rounding could affect the detection of arrhythmias (irregular heartbeats). [3]
c
Advise the hospital's data team whether the integer-storage model is suitable for recording continuous medical data, addressing diagnostic accuracy, patient safety, and the limitations this places on the data model. [3]
Solutions
3QuestionDesigning Surveys and QuestionnairesAssessment Practice
6 marks~9 minCriterion B
A school surveys students about their lunch preferences. Responses are recorded across four 2-hour time slots over three consecutive days.
Time slots: 8–10, 10–12, 12–14, 14–16
Time slots: 8–10, 10–12, 12–14, 14–16
| Day 1 | 24 | 48 | 36 | 18 |
|---|---|---|---|---|
| Day 2 | 30 | 60 | 45 | 22 |
| Day 3 | 36 | 72 | 54 | 26 |
a
Analyse the relationship between the 8–10 and 10–12 response counts, and between the 10–12 and 12–14 response counts, for each day. [2]
b
Deduce the predicted number of responses for the 10–12 slot on Day 4. Show your working. [2]
c
The school will only adjust the lunch menu if the 10–12 slot consistently attracts more than 1.5 times the responses of any other single slot across all days. Advise the school whether the lunch menu should be adjusted, justifying your answer using your findings from parts (a) and (b). [2]
Solutions
4QuestionTypes of Data Discrete vs ContinuousAssessment Practice
6 marks~9 minCriterion A
A student is designing a survey to investigate a possible relationship between the number of hours spent on social media per day and the number of books read per month. She has formulated eight survey questions:
1. How many hours do you spend on social media each day? (Choose one: 0–1, 1–2, 2–3, 3–4, 4+)
2. What is your favourite social media platform?
3. How many books have you read in the past month?
4. What is your age in years?
5. How many minutes did you spend on social media yesterday?
6. What is your favourite colour?
7. How many siblings do you have?
8. What is the temperature in your room in degrees Celsius?
1. How many hours do you spend on social media each day? (Choose one: 0–1, 1–2, 2–3, 3–4, 4+)
2. What is your favourite social media platform?
3. How many books have you read in the past month?
4. What is your age in years?
5. How many minutes did you spend on social media yesterday?
6. What is your favourite colour?
7. How many siblings do you have?
8. What is the temperature in your room in degrees Celsius?
a
Classify each of the eight questions as collecting either discrete or continuous data. Explain your reasoning for one question of each type. [2]
b
Construct three new survey questions that collect discrete data relevant to the same investigation. For each question, specify the potential data values it would produce and explain why those values are discrete. [2]
c
Construct three new survey questions that collect continuous data relevant to the same investigation. For each question, specify the potential data values it would produce. Justify whether the continuous data from your questions would be more useful to this investigation than the discrete data from part (b). [2]
Solutions
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