MIP2602 Assignment 4 2024 (695941)- DUE 13 August 2024

MIP2602
Assignment 4 2024
(695941)- DUE 13
August 2024
QUESTIONS WITH COMPLETE ANSWERS




[DATE]
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,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
723320055482002100043502360554820021

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]

Question 1.1

1.1.1 What is the random variable of interest in this scenario? (1)
The random variable of interest in this scenario is the number of coins
that the Grade 5 learners at IMMACULATE CONVENT school have on
them.

1.1.2 What is the population of interest in this scenario? (1)
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)
The sample of interest is the 40 Grade 5 learners that Mrs. Mbeki
randomly surveyed at IMMACULATE CONVENT school.