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MIP2602 Assignment 2 (COMPLETE ANSWERS) Semester 1 2025 - DUE 29 May 2025;100% CORRECT AND TRUSTED SOLUTIONS

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MIP2602 Assignment 2 (COMPLETE ANSWERS) Semester 1 2025 - DUE 29 May 2025;100% CORRECT AND TRUSTED SOLUTIONS 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] QUESTION 2: ORGANIZING AND REPRESENTING DATA Suppose you are the manager of an ice cream shop, and you are analyzing the sales data from the last week to better understand the shop’s performance. Your shop offers 4 different flavors of ice cream: Strawberry, Vanilla, Peppermint, and Chocolate. Use the provided sales image to answer the following questions.

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, MIP2602 Assignment 2 (COMPLETE ANSWERS) Semester 1 2025
- DUE 29 May 2025;100% CORRECT AND TRUSTED
SOLUTIONS

1.1.1 What is the random variable of interest in this scenario? (1)

Answer:
The random variable of interest is the mode of transport used by
learners to get to school on the day of the survey.



1.1.2 What is the population of interest in this scenario? (1)

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? (1)

Answer:
The sample of interest is the group of Grade 10 learners who were
randomly surveyed by Mrs. Zinzi regarding their mode of transport.



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)

Answer:

 Qualitative vs. Quantitative:
The data is qualitative because it describes a characteristic or

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