MIP 2602
Assignment 4
Unique number: 730402
Due date: 24 August 2022
QUESTION 1
1.1. The owner of Good Hope Cafeteria wants to explore the views of her clientele on
the service quality and food offered by the cafeteria. She purposefully selects a sample
of 20 patrons who ate lunch at the cafeteria on a particular Tuesday and conducts
interviews with them.
1.1.1. What is the population of interest?
The population of interest is the clientele of Good Hope Cafeteria.
1.1.2. What is the sample of interest?
The sample of interest is 20 patrons who ate lunch at the cafeteria on a particular
Tuesday
1.1.3. What is the sampling unit in this scenario?
20 patrons
1.1.4. Which data collection method is used to collect data from the clientele?
Interviews
1.2. Mrs Mbeki conducted a survey to find out how many coins the learners in her class
had on them (in their pockets or purses). She obtained the following data:
1.2.1 Copy and complete this frequency table to organize Mrs Mbeki’s data:
Number of 0 1 2 3 4 5 6 7 8
coins
Tally
Frequency 11 2 7 5 4 5 3 1 2
, 1.2.2 What is the total number of learners in Mrs Mbeki’s class?
There are 40 learners in Mrs Mbekis class.
1.2.3 How many learners had five coins on them?
Five learners had five coins on them.
QUESTION 2
Environmentalists are studying the weight of yellowfin tuna caught from the shore in
Cape Town, South Africa. A sample of tuna is taken from all the tuna that were caught
and their respective weights, in kilogram (kg), are summarised in the following stem-
and-leaf plot:
Use the data in the stem-and-leaf plot to answer the following questions:
2.1 Is the data discrete or continuous? Explain your answer.
The data is discrete as it only takes specific values ex. 12,18,22 etc.
2.2 Which graph(s) can best display this type of data? Explain your answer.
A line graph to show the frequency against weight.
A histogram with frequency against the different class weights.
2.3 Calculate the following:
2.3.1. the mean (correct to three decimal places)
(12+18+19+20+22+22+25+26+28+31+31+32+34+35+36+36+38+41+48+52) ÷ 20
=606 ÷ 20
=30.3 kg
2.3.2. the median
Assignment 4
Unique number: 730402
Due date: 24 August 2022
QUESTION 1
1.1. The owner of Good Hope Cafeteria wants to explore the views of her clientele on
the service quality and food offered by the cafeteria. She purposefully selects a sample
of 20 patrons who ate lunch at the cafeteria on a particular Tuesday and conducts
interviews with them.
1.1.1. What is the population of interest?
The population of interest is the clientele of Good Hope Cafeteria.
1.1.2. What is the sample of interest?
The sample of interest is 20 patrons who ate lunch at the cafeteria on a particular
Tuesday
1.1.3. What is the sampling unit in this scenario?
20 patrons
1.1.4. Which data collection method is used to collect data from the clientele?
Interviews
1.2. Mrs Mbeki conducted a survey to find out how many coins the learners in her class
had on them (in their pockets or purses). She obtained the following data:
1.2.1 Copy and complete this frequency table to organize Mrs Mbeki’s data:
Number of 0 1 2 3 4 5 6 7 8
coins
Tally
Frequency 11 2 7 5 4 5 3 1 2
, 1.2.2 What is the total number of learners in Mrs Mbeki’s class?
There are 40 learners in Mrs Mbekis class.
1.2.3 How many learners had five coins on them?
Five learners had five coins on them.
QUESTION 2
Environmentalists are studying the weight of yellowfin tuna caught from the shore in
Cape Town, South Africa. A sample of tuna is taken from all the tuna that were caught
and their respective weights, in kilogram (kg), are summarised in the following stem-
and-leaf plot:
Use the data in the stem-and-leaf plot to answer the following questions:
2.1 Is the data discrete or continuous? Explain your answer.
The data is discrete as it only takes specific values ex. 12,18,22 etc.
2.2 Which graph(s) can best display this type of data? Explain your answer.
A line graph to show the frequency against weight.
A histogram with frequency against the different class weights.
2.3 Calculate the following:
2.3.1. the mean (correct to three decimal places)
(12+18+19+20+22+22+25+26+28+31+31+32+34+35+36+36+38+41+48+52) ÷ 20
=606 ÷ 20
=30.3 kg
2.3.2. the median
