MIP2602
ASSIGNMENT 2
DUE DATE: 29 MAY 2025
,MIP2602
ASSIGNMENT 2 2025 MEMO
1.1.1 What is the random variable of interest in this scenario?
The mode of transport used by learners to travel to school.
1.1.2 What is the population of interest in this scenario?
All Grade 10 learners at Praise Convent School.
1.1.3 What is the sample of interest in this scenario?
The group of learners who were randomly surveyed by Mrs. Zinzi.
1.1.4 Analyze the nature of the data that was collected by Mrs. Zinzi.
Qualitative vs. Quantitative
The data is qualitative because it describes a characteristic (mode of transport) rather
than a measurable quantity.
Categorical vs. Numerical
The data is categorical because the responses e.g., Car, Bus, Walk fall into distinct
groups or categories and are not numerical values.
The responses cannot be measured numerically or ordered meaningfully in terms of
magnitude.
, 1.1.5 What is the measurement scale for the data collected in this scenario?
Explain your answer.
The measurement scale is nominal because the categories Car, Bus, Walk, Bicycle are
names or labels with no inherent order or ranking.
1.1.6 Critically analyze whether Mrs. Zinzi's choice of a survey was the most
appropriate method for collecting data. Suggest an alternative and justify.
A survey is appropriate because it allows easy data collection from many learners.
However, it relies on self-reporting, which can sometimes be inaccurate.
An alternative method would be direct observation, where Mrs. Zinzi or another
observer notes how each learner arrives at school.
Observation could reduce reporting errors and give more reliable data, but it may be
time-consuming.
1.1.7 Evaluate whether Mrs. Zinzi's sampling method meets the requirements of a
probability sampling method. Justify your answer.
Yes, Mrs. Zinzi used random sampling, which is a probability sampling method because
every learner had an equal chance of being selected, reducing bias and increasing
representativeness.
1.1.8 Critically discuss one advantage and one disadvantage of the data
collection method used in this scenario.
ASSIGNMENT 2
DUE DATE: 29 MAY 2025
,MIP2602
ASSIGNMENT 2 2025 MEMO
1.1.1 What is the random variable of interest in this scenario?
The mode of transport used by learners to travel to school.
1.1.2 What is the population of interest in this scenario?
All Grade 10 learners at Praise Convent School.
1.1.3 What is the sample of interest in this scenario?
The group of learners who were randomly surveyed by Mrs. Zinzi.
1.1.4 Analyze the nature of the data that was collected by Mrs. Zinzi.
Qualitative vs. Quantitative
The data is qualitative because it describes a characteristic (mode of transport) rather
than a measurable quantity.
Categorical vs. Numerical
The data is categorical because the responses e.g., Car, Bus, Walk fall into distinct
groups or categories and are not numerical values.
The responses cannot be measured numerically or ordered meaningfully in terms of
magnitude.
, 1.1.5 What is the measurement scale for the data collected in this scenario?
Explain your answer.
The measurement scale is nominal because the categories Car, Bus, Walk, Bicycle are
names or labels with no inherent order or ranking.
1.1.6 Critically analyze whether Mrs. Zinzi's choice of a survey was the most
appropriate method for collecting data. Suggest an alternative and justify.
A survey is appropriate because it allows easy data collection from many learners.
However, it relies on self-reporting, which can sometimes be inaccurate.
An alternative method would be direct observation, where Mrs. Zinzi or another
observer notes how each learner arrives at school.
Observation could reduce reporting errors and give more reliable data, but it may be
time-consuming.
1.1.7 Evaluate whether Mrs. Zinzi's sampling method meets the requirements of a
probability sampling method. Justify your answer.
Yes, Mrs. Zinzi used random sampling, which is a probability sampling method because
every learner had an equal chance of being selected, reducing bias and increasing
representativeness.
1.1.8 Critically discuss one advantage and one disadvantage of the data
collection method used in this scenario.
