,MIP2602 Assignment 2 (COMPLETE
ANSWERS) 2025 - DUE 29 May 2025
QUESTION 1: DATA COLLECTION
Mrs. Zinzi, a Grade 10 teacher at Praise Convent School, wanted
to find out how her learners travel to school each day. She
randomly surveyed learners and asked them what mode of
transport they used that morning. She recorded the following
responses:
Car, Bus, Walk, Car, Bicycle, Bus, Walk, Car, Car, Bus, Bus, Car,
Bicycle, Walk, Car, Bus, Bus, Car, Bicycle, Walk, Car, Walk, Bus,
Car, Bus
1.1.1
What is the random variable of interest in this scenario? (1)
1.1.2
What is the population of interest in this scenario? (1)
1.1.3
What is the sample of interest in this scenario? (1)
1.1.4
Analyze the nature of the data that was collected by Mrs. Zinzi.
In your analysis, classify the data as qualitative or quantitative
data, and as categorical or numerical. Justify each classification.
(4)
,1.1.5
What is the measurement scale for the data collected in this
scenario? Explain your answer (2)
1.1.6
Critically analyze whether Mrs. Zinzi's choice of a survey was
the most appropriate method for collecting data about learners'
modes of transport. Suggest an alternative method and justify
your recommendation. (4)
1.1.7
Evaluate whether Mrs. Zinzi's sampling method meets the
requirements of a probability sampling method. Justify your
answer. (2)
1.1.8
Critically discuss one advantage and one disadvantage of the
data collection method used in this scenario. (2)
1.1.9
Propose a sampling technique that Mrs. Zinzi could use to
improve the representativeness of her data. Explain why your
suggested method would be better. (2)
1.1.10
Classify the data collected by Mrs. Zinzi as primary or secondary
data. Justify your answer. (2)
, 1.1.11
Compare the use of primary data collection and secondary data
collection in the context of Mrs. Zinzi’s study. Which method
would be more reliable for her purpose? Justify your answer. (4)
[25]
1.1.1 What is the random variable of interest in this scenario?
Answer:
The random variable of interest is the mode of transport used
by learners to travel to school.
1.1.2 What is the population of interest in this scenario?
Answer:
The population of interest is all Grade 10 learners at Praise
Convent School.
1.1.3 What is the sample of interest in this scenario?
Answer:
The sample of interest is the learners who were randomly
surveyed by Mrs. Zinzi about their mode of transport.
1.1.4 Analyze the nature of the data that was collected by Mrs.
Zinzi.
ANSWERS) 2025 - DUE 29 May 2025
QUESTION 1: DATA COLLECTION
Mrs. Zinzi, a Grade 10 teacher at Praise Convent School, wanted
to find out how her learners travel to school each day. She
randomly surveyed learners and asked them what mode of
transport they used that morning. She recorded the following
responses:
Car, Bus, Walk, Car, Bicycle, Bus, Walk, Car, Car, Bus, Bus, Car,
Bicycle, Walk, Car, Bus, Bus, Car, Bicycle, Walk, Car, Walk, Bus,
Car, Bus
1.1.1
What is the random variable of interest in this scenario? (1)
1.1.2
What is the population of interest in this scenario? (1)
1.1.3
What is the sample of interest in this scenario? (1)
1.1.4
Analyze the nature of the data that was collected by Mrs. Zinzi.
In your analysis, classify the data as qualitative or quantitative
data, and as categorical or numerical. Justify each classification.
(4)
,1.1.5
What is the measurement scale for the data collected in this
scenario? Explain your answer (2)
1.1.6
Critically analyze whether Mrs. Zinzi's choice of a survey was
the most appropriate method for collecting data about learners'
modes of transport. Suggest an alternative method and justify
your recommendation. (4)
1.1.7
Evaluate whether Mrs. Zinzi's sampling method meets the
requirements of a probability sampling method. Justify your
answer. (2)
1.1.8
Critically discuss one advantage and one disadvantage of the
data collection method used in this scenario. (2)
1.1.9
Propose a sampling technique that Mrs. Zinzi could use to
improve the representativeness of her data. Explain why your
suggested method would be better. (2)
1.1.10
Classify the data collected by Mrs. Zinzi as primary or secondary
data. Justify your answer. (2)
, 1.1.11
Compare the use of primary data collection and secondary data
collection in the context of Mrs. Zinzi’s study. Which method
would be more reliable for her purpose? Justify your answer. (4)
[25]
1.1.1 What is the random variable of interest in this scenario?
Answer:
The random variable of interest is the mode of transport used
by learners to travel to school.
1.1.2 What is the population of interest in this scenario?
Answer:
The population of interest is all Grade 10 learners at Praise
Convent School.
1.1.3 What is the sample of interest in this scenario?
Answer:
The sample of interest is the learners who were randomly
surveyed by Mrs. Zinzi about their mode of transport.
1.1.4 Analyze the nature of the data that was collected by Mrs.
Zinzi.
