How to plan an experiment, collect and present data, analyse it with at least two approaches, state limitations and draw conclusions, using the mark scheme and a worked exemplar on the fairness of a die.
5 narrated scenes. Press play, listen and read along — the points appear as they are explained. Use ‹ Prev / Next › or the scene bar to jump to any scene.
Is the die in your school’s board game fair? Roll it 60 times and let the mathematics decide.
Narration uses your device’s built-in voice. No sound? Switch to “Captions only” — the captions advance on their own.
Copy these into your notebook in your own words — that is how they stick.
Collect data by experiment, survey or observation; analyse and interpret.
Title 2, Purpose 2, Data collection 4, Presentation of data 5, Analysis 8, Discussion/Conclusion 7, Presentation 2 = 30.
Clear enough to repeat; sampling, instruments, and number of trials stated.
Tally chart, table, bar chart, histogram, etc.
At least two approaches: mean, variance, standard deviation, relative frequency, graphs.
x̄ = Σfx/Σf; variance = Σfx²/Σf − x̄².
Sample size, bias, measurement error.
Answers the purpose and is supported by the numbers.
3 quick games on this lesson. Earn XP and badges as you play — your best score for each game is saved. Games are for practice and do not change your exam readiness. More games in the Additional Mathematics Arcade.
8 items modelled on real CSEC Paper 1 questions. Choose one answer for each, then check. Aim for 80% or better. Work each item on paper first.
Write full answers, then reveal the mark scheme and tick the points you earned (30 marks in total). Show all your working — method marks count. Your answers are saved on this device.
Question 1 [30 marks]
Use the die exemplar: frequencies 7, 9, 12, 8, 11, 13 for faces 1 to 6 in 60 rolls. A calculator may be used.
(a) (a) Write a title and a purpose for the investigation. [4]
(b) (b) Describe the method of data collection in three steps. [4]
(c) (c) Calculate the relative frequency of face 3 and compare with 1/6. [3]
(d) (d) Calculate the mean number rolled. [3]
(e) (e) Calculate the variance, given Σfx² = 1 022. [4]
(f) (f) Compare the mean and variance with those of a fair die (3.5 and 2.92) and comment. [3]
(g) (g) State TWO limitations and one improvement. [3]
(h) (h) Write a conclusion for the project. [3]
(i) (i) A student says “Face 6 came up most, so the die is loaded.” Evaluate this claim. [3]
Everything in this lesson is based on these parts of the CXC syllabus and papers.