MNP2602
ASSIGNMENT 4
25TH AUGUST 2023
DETAILED & ACCURATE ANSWERS!
ANSWERS ARE IN DETAIL ENSURING
YOU PASS WITH A DISTINCTION!
, MIP2602 Assignment 4 2023 (Due 25th of August 2023)
Questions Covered:
Question 1 .................................................................................................................. 3
1.1 What type(s) of data are best for using the following? ...................................... 3
1.1.1 A stem-and-leaf plot ................................................................................... 3
1.1.2 A bar chart.................................................................................................. 3
1.1.3 Pie chart ..................................................................................................... 3
1.1.4 Scatter plot ................................................................................................. 3
1.1.5 Line graph .................................................................................................. 3
1.1.6 Histogram ................................................................................................... 4
1.1.7 Box-and-whisker plot .................................................................................. 4
1.2 How is the bar graph better than the pictograph? ............................................. 4
1.3 When should we make use of scatter plot graphs? .......................................... 5
1.4 In what circumstances are pie charts and bar charts appropriate to be used? . 5
1.5 What makes stem and leaf plots preferable to histograms? ............................. 5
Question 2 .................................................................................................................. 6
2.1 The Curriculum and Assessment Policy Statement (CAPS) requires Grade 4
learners to “collect data using tally marks and a table for recording” ...................... 6
2.1.1 How would you introduce the concept of tally marks and a table for
recording to Grade 4 learners? ........................................................................... 7
2.2 In a class investigation, the heights of Grade 8 learners were measured and
converted the measurements to the nearest centimetre. The measurements are as
follows:.................................................................................................................... 9
2.2.1 Would you classify this data as quantitative or qualitative? Explain your
answer. ............................................................................................................... 9
2.2.3 Organise the data in an ordered stem-and-leaf plot. .................................. 9
2.2.4 Analyse the data you organised in 2.2.3 by writing three statements....... 10
2.2.5 You want to introduce the concept of intervals to the Grade 8 learners.
How would you explain the term “interval” using the ordered stem-and-leaf plot
you plotted in 2.2.3 as an example?.................................................................. 11
2.2.6 Using the class intervals of 130 x<140, 140 x<150, 150 x<160, and so on,
construct a frequency table to represent the Grade 8 learners’ heights. Your
frequency table must include a cumulative relative frequency percentage
column. ............................................................................................................. 12
2.2.6.1 What is the percentage of learners with a height less than 140 cm? .... 12
2.2.6.2 What is the percentage of learners with a height of more than 139 cm?
.......................................................................................................................... 12
1
, MIP2602 Assignment 4 2023 (Due 25th of August 2023)
2.2.7 Using the class intervals of 130 x<140, 140 x<150, 150 x<160, and so on,
and the frequency count in 2.2.6, construct a histogram to represent the Grade 8
learners’ heights. ............................................................................................... 13
2.2.8 Use data in 2.2 to calculate the following: ................................................ 13
2.2.9 Do the data contain (an) outlier(s)? Explain your answer. ........................ 16
2.2.10 which of the measures of central location will best summarise the data in
.......................................................................................................................... 17
2.2? Explain your answer. .................................................................................... 17
2.3 The table below shows data collected by Mrs Pretorius, a Grade 9 teacher,
investigating if there is a relationship between the amount of time her learners
spent working on a natural science project and the score each learner received.
Mrs Pretorius surveyed 10 learners from her classroom and recorded the data
below. ................................................................................................................... 20
2.3.1 Draw a scatter plot to show the amount of time the surveyed learners spent
working on a natural science project and the score each learner received. Use the
graph paper (grid) provided at the end of this assignment or any grid. ................. 20
2.3.2 Do you think that there is a statistical relationship between the amount of
time the surveyed learners spent working on natural science project and the score
each learner received? If so, describe the nature of the relationship and explain
the implication of the relationship.......................................................................... 22
Question 3 ................................................................................................................ 22
3.1 There are four cards numbered 8, 10, 12 and 16 in one bag. In another bag,
there are also four cards, numbered 9, 11, 13 and 15. One card is drawn at
random from each bag and the values of the two cards are added together. ....... 22
3.1.1 Use a table to list all the possible outcomes for the activity...................... 22
3.1.2 What is the probability that the sum of the two values will be an odd
number? ............................................................................................................ 23
3.1.3 What is the probability that the sum will be less than 25? ........................ 23
3.1.4 What is the probability that the sum will be a multiple of 3? ..................... 23
3.2 Nine painters are each randomly assigned a letter of the POLOKWANE sign
for painting. Find the probability that a painter is assigned … .............................. 24
3.2.1 The letter “O” ............................................................................................ 24
3.2.2 The letter “I”.............................................................................................. 24
3.2.3 The letter “O” or “N”. ................................................................................. 24
2
ASSIGNMENT 4
25TH AUGUST 2023
DETAILED & ACCURATE ANSWERS!
ANSWERS ARE IN DETAIL ENSURING
YOU PASS WITH A DISTINCTION!
, MIP2602 Assignment 4 2023 (Due 25th of August 2023)
Questions Covered:
Question 1 .................................................................................................................. 3
1.1 What type(s) of data are best for using the following? ...................................... 3
1.1.1 A stem-and-leaf plot ................................................................................... 3
1.1.2 A bar chart.................................................................................................. 3
1.1.3 Pie chart ..................................................................................................... 3
1.1.4 Scatter plot ................................................................................................. 3
1.1.5 Line graph .................................................................................................. 3
1.1.6 Histogram ................................................................................................... 4
1.1.7 Box-and-whisker plot .................................................................................. 4
1.2 How is the bar graph better than the pictograph? ............................................. 4
1.3 When should we make use of scatter plot graphs? .......................................... 5
1.4 In what circumstances are pie charts and bar charts appropriate to be used? . 5
1.5 What makes stem and leaf plots preferable to histograms? ............................. 5
Question 2 .................................................................................................................. 6
2.1 The Curriculum and Assessment Policy Statement (CAPS) requires Grade 4
learners to “collect data using tally marks and a table for recording” ...................... 6
2.1.1 How would you introduce the concept of tally marks and a table for
recording to Grade 4 learners? ........................................................................... 7
2.2 In a class investigation, the heights of Grade 8 learners were measured and
converted the measurements to the nearest centimetre. The measurements are as
follows:.................................................................................................................... 9
2.2.1 Would you classify this data as quantitative or qualitative? Explain your
answer. ............................................................................................................... 9
2.2.3 Organise the data in an ordered stem-and-leaf plot. .................................. 9
2.2.4 Analyse the data you organised in 2.2.3 by writing three statements....... 10
2.2.5 You want to introduce the concept of intervals to the Grade 8 learners.
How would you explain the term “interval” using the ordered stem-and-leaf plot
you plotted in 2.2.3 as an example?.................................................................. 11
2.2.6 Using the class intervals of 130 x<140, 140 x<150, 150 x<160, and so on,
construct a frequency table to represent the Grade 8 learners’ heights. Your
frequency table must include a cumulative relative frequency percentage
column. ............................................................................................................. 12
2.2.6.1 What is the percentage of learners with a height less than 140 cm? .... 12
2.2.6.2 What is the percentage of learners with a height of more than 139 cm?
.......................................................................................................................... 12
1
, MIP2602 Assignment 4 2023 (Due 25th of August 2023)
2.2.7 Using the class intervals of 130 x<140, 140 x<150, 150 x<160, and so on,
and the frequency count in 2.2.6, construct a histogram to represent the Grade 8
learners’ heights. ............................................................................................... 13
2.2.8 Use data in 2.2 to calculate the following: ................................................ 13
2.2.9 Do the data contain (an) outlier(s)? Explain your answer. ........................ 16
2.2.10 which of the measures of central location will best summarise the data in
.......................................................................................................................... 17
2.2? Explain your answer. .................................................................................... 17
2.3 The table below shows data collected by Mrs Pretorius, a Grade 9 teacher,
investigating if there is a relationship between the amount of time her learners
spent working on a natural science project and the score each learner received.
Mrs Pretorius surveyed 10 learners from her classroom and recorded the data
below. ................................................................................................................... 20
2.3.1 Draw a scatter plot to show the amount of time the surveyed learners spent
working on a natural science project and the score each learner received. Use the
graph paper (grid) provided at the end of this assignment or any grid. ................. 20
2.3.2 Do you think that there is a statistical relationship between the amount of
time the surveyed learners spent working on natural science project and the score
each learner received? If so, describe the nature of the relationship and explain
the implication of the relationship.......................................................................... 22
Question 3 ................................................................................................................ 22
3.1 There are four cards numbered 8, 10, 12 and 16 in one bag. In another bag,
there are also four cards, numbered 9, 11, 13 and 15. One card is drawn at
random from each bag and the values of the two cards are added together. ....... 22
3.1.1 Use a table to list all the possible outcomes for the activity...................... 22
3.1.2 What is the probability that the sum of the two values will be an odd
number? ............................................................................................................ 23
3.1.3 What is the probability that the sum will be less than 25? ........................ 23
3.1.4 What is the probability that the sum will be a multiple of 3? ..................... 23
3.2 Nine painters are each randomly assigned a letter of the POLOKWANE sign
for painting. Find the probability that a painter is assigned … .............................. 24
3.2.1 The letter “O” ............................................................................................ 24
3.2.2 The letter “I”.............................................................................................. 24
3.2.3 The letter “O” or “N”. ................................................................................. 24
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