COM3702
EXAM PACK
, lOMoARcPSD|21997160
MIP2602 EXAM 2023. R MTSHWENI STUDENT NO:61733873
QUESTION 1
1.1.
1.1.1 The random variable of interest in this scenario is the amount of money Grade 10
learners spend at IMMACULATE CONVENT on school supplies that do not include
books.
1.1.2 The population of interest in this scenario is all Grade 10 learners at
IMMACULATE CONVENT school.
1.1.3 The sample of interest in this scenario is the 100 Grade 10 learners who were
randomly surveyed at IMMACULATE CONVENT school.
1.1.4 The data in this scenario include the amounts of money spent by three learners:
R2 250, R3 000, and R3 375.
1.1.5 The nature of data collected in this scenario is quantitative data. It is numerical
data because it involves specific amounts of money. The data is discrete since the
amounts of money are specific values and not a range of values.
1.1.6 A bar graph would best represent the data collected in this scenario. Each of the
three amounts of money spent by the learners can be represented as separate bars.
1.1.7 The measure of central tendency that would be most appropriate for analysing the
data collected in this scenario is the mean. Since the researcher wants to know the
average amount of money spent by Grade 10 learners, the mean will provide a
representative value.
1.1.8 The measure of dispersion that would be most appropriate for analysing the data
collected in this scenario is the range. The range will show the variability in the amounts
of money spent by the learners, which is useful information in understanding the spread
of the data.
1.2
1.2.1.
1.2.1.1 The points to explain a pictograph to learners can be:
• A pictograph uses pictures or symbols to represent data.
• Each picture or symbol represents a certain number of items or units.
• The key or legend is important to understand the value each picture or symbol
represents.
• It is visually appealing and easy to understand.
2
, lOMoARcPSD|21997160
MIP2602 EXAM 2023. R MTSHWENI STUDENT NO:61733873
1.2.1.2
Each "cellphone" symbol represents 2 cellphones sold.
3
, lOMoARcPSD|21997160
MIP2602 EXAM 2023. R MTSHWENI STUDENT NO:61733873
1.2.2 The other graph that can best represent the data in Figure 1 is a bar graph. This is
because a bar graph allows for a clearer comparison of the number of cellphones sold
for each category.
1.2.3 Here is a bar graph representing the data in Figure 1:
1.2.4 Designing two questions to help Grade 6 learners interpret the data:
1.2.4.1 How many cellphones were sold in category 1?
1.2.4.2 Which category had the highest number of cellphones sold?
QUESTION 2
2.1.
4
EXAM PACK
, lOMoARcPSD|21997160
MIP2602 EXAM 2023. R MTSHWENI STUDENT NO:61733873
QUESTION 1
1.1.
1.1.1 The random variable of interest in this scenario is the amount of money Grade 10
learners spend at IMMACULATE CONVENT on school supplies that do not include
books.
1.1.2 The population of interest in this scenario is all Grade 10 learners at
IMMACULATE CONVENT school.
1.1.3 The sample of interest in this scenario is the 100 Grade 10 learners who were
randomly surveyed at IMMACULATE CONVENT school.
1.1.4 The data in this scenario include the amounts of money spent by three learners:
R2 250, R3 000, and R3 375.
1.1.5 The nature of data collected in this scenario is quantitative data. It is numerical
data because it involves specific amounts of money. The data is discrete since the
amounts of money are specific values and not a range of values.
1.1.6 A bar graph would best represent the data collected in this scenario. Each of the
three amounts of money spent by the learners can be represented as separate bars.
1.1.7 The measure of central tendency that would be most appropriate for analysing the
data collected in this scenario is the mean. Since the researcher wants to know the
average amount of money spent by Grade 10 learners, the mean will provide a
representative value.
1.1.8 The measure of dispersion that would be most appropriate for analysing the data
collected in this scenario is the range. The range will show the variability in the amounts
of money spent by the learners, which is useful information in understanding the spread
of the data.
1.2
1.2.1.
1.2.1.1 The points to explain a pictograph to learners can be:
• A pictograph uses pictures or symbols to represent data.
• Each picture or symbol represents a certain number of items or units.
• The key or legend is important to understand the value each picture or symbol
represents.
• It is visually appealing and easy to understand.
2
, lOMoARcPSD|21997160
MIP2602 EXAM 2023. R MTSHWENI STUDENT NO:61733873
1.2.1.2
Each "cellphone" symbol represents 2 cellphones sold.
3
, lOMoARcPSD|21997160
MIP2602 EXAM 2023. R MTSHWENI STUDENT NO:61733873
1.2.2 The other graph that can best represent the data in Figure 1 is a bar graph. This is
because a bar graph allows for a clearer comparison of the number of cellphones sold
for each category.
1.2.3 Here is a bar graph representing the data in Figure 1:
1.2.4 Designing two questions to help Grade 6 learners interpret the data:
1.2.4.1 How many cellphones were sold in category 1?
1.2.4.2 Which category had the highest number of cellphones sold?
QUESTION 2
2.1.
4
