MIP2602
ASSIGNMENT 2 2025
UNIQUE NO.
DUE DATE: 29 MAY 2025
,MIP2602 Assignment 2 (Due 29 May 2025):
QUESTION 1: DATA COLLECTION (25 Marks)
1.1.1 The random variable of interest is the mode of transport used by learners to
get to school. ✔️
1.1.2 The population of interest is all Grade 10 learners at Praise Convent School.
✔️
1.1.3 The sample is the group of randomly selected Grade 10 learners who were
surveyed. ✔️
1.1.4
The data is qualitative: it describes modes of transport, not numerical values.
It is categorical: the responses fall into categories like “Car,” “Bus,” etc.
✔️ Justification: The responses cannot be measured numerically and represent
categories of transportation.
1.1.5 The measurement scale is nominal.
✔️ Justification: The data consists of named categories without any order or ranking
(e.g., car ≠ better than walk).
1.1.6 A survey is appropriate because it is a quick and simple method for collecting
information from many people.
✔️ Alternative: Observation — the teacher could stand at the school entrance and
record each learner’s transport mode.
Justification: This avoids reliance on self-reporting, which may be biased or
inaccurate.
, 1.1.7 Yes, random sampling is a probability sampling method.
✔️ Justification: If every student had an equal chance of being selected, then the
method is random and meets probability sampling standards.
1.1.8
Advantage: Easy to implement and analyze.
Disadvantage: Respondents may misreport their transport method, reducing
data accuracy.
1.1.9 Suggested sampling technique: Stratified random sampling.
✔️ Justification: Divide learners by area or distance from school, then randomly sample
from each group. This ensures better representation across travel conditions.
1.1.10 The data is primary data.
✔️ Justification: It was collected directly from respondents by Mrs. Zinzi herself.
1.1.11
Primary data: Collected firsthand, more reliable and specific to the research
question.
Secondary data: Previously collected, may be outdated or irrelevant.
✔️ Primary data is more reliable in this context because Mrs. Zinzi needs
specific and up-to-date info on her learners’ travel habits.
QUESTION 2: ORGANIZING AND REPRESENTING DATA (80 Marks)
2.1 Frequency Table
Let's assume the image showed these sales:
Strawberry: 10
ASSIGNMENT 2 2025
UNIQUE NO.
DUE DATE: 29 MAY 2025
,MIP2602 Assignment 2 (Due 29 May 2025):
QUESTION 1: DATA COLLECTION (25 Marks)
1.1.1 The random variable of interest is the mode of transport used by learners to
get to school. ✔️
1.1.2 The population of interest is all Grade 10 learners at Praise Convent School.
✔️
1.1.3 The sample is the group of randomly selected Grade 10 learners who were
surveyed. ✔️
1.1.4
The data is qualitative: it describes modes of transport, not numerical values.
It is categorical: the responses fall into categories like “Car,” “Bus,” etc.
✔️ Justification: The responses cannot be measured numerically and represent
categories of transportation.
1.1.5 The measurement scale is nominal.
✔️ Justification: The data consists of named categories without any order or ranking
(e.g., car ≠ better than walk).
1.1.6 A survey is appropriate because it is a quick and simple method for collecting
information from many people.
✔️ Alternative: Observation — the teacher could stand at the school entrance and
record each learner’s transport mode.
Justification: This avoids reliance on self-reporting, which may be biased or
inaccurate.
, 1.1.7 Yes, random sampling is a probability sampling method.
✔️ Justification: If every student had an equal chance of being selected, then the
method is random and meets probability sampling standards.
1.1.8
Advantage: Easy to implement and analyze.
Disadvantage: Respondents may misreport their transport method, reducing
data accuracy.
1.1.9 Suggested sampling technique: Stratified random sampling.
✔️ Justification: Divide learners by area or distance from school, then randomly sample
from each group. This ensures better representation across travel conditions.
1.1.10 The data is primary data.
✔️ Justification: It was collected directly from respondents by Mrs. Zinzi herself.
1.1.11
Primary data: Collected firsthand, more reliable and specific to the research
question.
Secondary data: Previously collected, may be outdated or irrelevant.
✔️ Primary data is more reliable in this context because Mrs. Zinzi needs
specific and up-to-date info on her learners’ travel habits.
QUESTION 2: ORGANIZING AND REPRESENTING DATA (80 Marks)
2.1 Frequency Table
Let's assume the image showed these sales:
Strawberry: 10