[Date]
MIP2602 Assignment 4
2024 (695941)- DUE 13
August 2024
QUESTIONS WITH COMPLETE ANSWERS
,MIP2602 Assignment 4 2024 (695941)- DUE 13 August 2024
Question 1
1.1 Read the scenario below and answer the questions that follow: Mrs Mbeki
conducted a survey to find out how many coins the learners in Grade 5 at
IMMACULATE CONVENT school had on them (in their pockets or purses). Mrs
Mbeki randomly surveyed 40 Grade 5 learners at IMMACULATE CONVENT
school. She obtained the following data: 4 6 3 6 7 2 3 3 2 0 0 5 5 4 8 2 0 0 2 1 0 0 0
43502360554820021
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 Explain the nature of data that was collected in this scenario. In your
explanation state whether it is qualitative or quantitative data. Further state whether
it is categorical data or numerical data. If the data is numeric, state whether it is
discrete or continuous. (3)
1.1.5 Which graph(s) can best display this type of data? Explain your answer. (2)
1.2 The Curriculum and Assessment Policy Statement (CAPS) requires Grade 6
learners to be able to “draw a variety of graphs including pictographs (many-to-one
correspondence) to display and interpret data”. Use figure 1 to answer the
questions that follow. 4 Figure 1: Cellphones sold in Prayash’s shop
1.2.1 Use figure 1 to answer the following questions:
, 1.2.1.1 Write down the points that you will use to explain to grade 6 learners what
a pictograph is. (2)
1.2.1.2 Draw a pictograph (many-to-one correspondence) to demonstrate what a
pictograph looks like. Use =2; = 2; =2; = 2 to represent the data in figure 1. (9)
1.2.2 Which other graph can best represent the data in figure 1? Explain your
answer. (2) \
1.2.3 Use Microsoft Excel to draw the graph you have mentioned in 1.2.2 using the
data in figure 1. (7)
1.2.4 Design (ask) two questions that will help Grade 6 learners interpret the data
displayed in figure 1 and the graph you drew for question 1.2.1.2. 1.2.4.1
____________________________________________. (1)
1.2.4.2 ____________________________________________. (1) [30]
1.1.1 What is the random variable of interest in this scenario? (1)
• Answer: The random variable of interest is the number of coins that each
Grade 5 learner at IMMACULATE CONVENT school has on them.
1.1.2 What is the population of interest in this scenario? (1)
• Answer: The population of interest is all Grade 5 learners at
IMMACULATE CONVENT school.
1.1.3 What is the sample of interest in this scenario? (1)
• Answer: The sample of interest is the 40 Grade 5 learners who were
randomly surveyed by Mrs. Mbeki.
1.1.4 Explain the nature of data that was collected in this scenario. In your
explanation state whether it is qualitative or quantitative data. Further state
MIP2602 Assignment 4
2024 (695941)- DUE 13
August 2024
QUESTIONS WITH COMPLETE ANSWERS
,MIP2602 Assignment 4 2024 (695941)- DUE 13 August 2024
Question 1
1.1 Read the scenario below and answer the questions that follow: Mrs Mbeki
conducted a survey to find out how many coins the learners in Grade 5 at
IMMACULATE CONVENT school had on them (in their pockets or purses). Mrs
Mbeki randomly surveyed 40 Grade 5 learners at IMMACULATE CONVENT
school. She obtained the following data: 4 6 3 6 7 2 3 3 2 0 0 5 5 4 8 2 0 0 2 1 0 0 0
43502360554820021
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 Explain the nature of data that was collected in this scenario. In your
explanation state whether it is qualitative or quantitative data. Further state whether
it is categorical data or numerical data. If the data is numeric, state whether it is
discrete or continuous. (3)
1.1.5 Which graph(s) can best display this type of data? Explain your answer. (2)
1.2 The Curriculum and Assessment Policy Statement (CAPS) requires Grade 6
learners to be able to “draw a variety of graphs including pictographs (many-to-one
correspondence) to display and interpret data”. Use figure 1 to answer the
questions that follow. 4 Figure 1: Cellphones sold in Prayash’s shop
1.2.1 Use figure 1 to answer the following questions:
, 1.2.1.1 Write down the points that you will use to explain to grade 6 learners what
a pictograph is. (2)
1.2.1.2 Draw a pictograph (many-to-one correspondence) to demonstrate what a
pictograph looks like. Use =2; = 2; =2; = 2 to represent the data in figure 1. (9)
1.2.2 Which other graph can best represent the data in figure 1? Explain your
answer. (2) \
1.2.3 Use Microsoft Excel to draw the graph you have mentioned in 1.2.2 using the
data in figure 1. (7)
1.2.4 Design (ask) two questions that will help Grade 6 learners interpret the data
displayed in figure 1 and the graph you drew for question 1.2.1.2. 1.2.4.1
____________________________________________. (1)
1.2.4.2 ____________________________________________. (1) [30]
1.1.1 What is the random variable of interest in this scenario? (1)
• Answer: The random variable of interest is the number of coins that each
Grade 5 learner at IMMACULATE CONVENT school has on them.
1.1.2 What is the population of interest in this scenario? (1)
• Answer: The population of interest is all Grade 5 learners at
IMMACULATE CONVENT school.
1.1.3 What is the sample of interest in this scenario? (1)
• Answer: The sample of interest is the 40 Grade 5 learners who were
randomly surveyed by Mrs. Mbeki.
1.1.4 Explain the nature of data that was collected in this scenario. In your
explanation state whether it is qualitative or quantitative data. Further state
