MIP2602
Assignment 4 Answers in detail
Due: 25th August 2023
,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
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Assignment 4 Answers in detail
Due: 25th August 2023
,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
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