Revision activities / Core Mathematics study practice
Learning focus: Statistics and Probability. This original Grade 11 Core Mathematics exercise gives you a task, a suggested response and a follow-up challenge. It is classroom practice, not an official assessment paper.
Understand the idea
An average summarises a data set in a particular way. Probability compares favourable equally likely outcomes with all such outcomes in a specified sample space.
Try the activity
For the values 2, 3, 3, 4 and 8, calculate the mean and median. If one value is selected uniformly from the five entries, find the probability it is 3.
Attempt your response before opening the guidance. Show the steps, textual evidence or reasons that support your answer; a final answer alone may hide a misunderstanding.
Your practice workspace
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Show suggested answer and reasoning
The sum is 20, so the mean is 4. The middle ordered value is 3, so the median is 3. Two of the five entries are 3, giving probability 2/5.
Follow-up challenge
Replace 8 with 28. Describe which average changes more and why. Distinguish selecting an entry from selecting one of the distinct numerical values.
Review your work
- Did you answer the question actually asked?
- Can you explain the method or evidence in your own words?
- What would you change if one condition in the task changed?
Use the suggested response to identify one correction, then attempt the task again without copying it. For an open-ended question, other well-supported answers may be reasonable. Ask your teacher to check interpretations or language forms where needed.
Continue Core Mathematics practice
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Match this activity to the learning outcomes and sequence in your school’s current Grade 11 curriculum-design collection. This activity is a focused learning example, not a complete curriculum map.
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