Mixed Questions
- Classify height as discrete or continuous.
- Explain one advantage and one risk of using a sample.
- Find the sector angle for frequency 18 out of 72.
- Find mean, median and mode of 2,3,3,4,8.
- Find the range of 11,14,20,22,31.
- Find density for frequency 45 and width 15.
- Find the midpoint of 60โคx<80.
- For N=120, state the median and quartile positions.
- Explain why an estimated grouped mean is not exact.
- State one reason a graph may mislead.
๐ฎ Mixed Statistics Challenge
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โ Check Your Work
Show answers and working
- Continuous.
- Advantage: faster/cheaper. Risk: an unrepresentative sample gives biased results.
- 18รท72ร360=90ยฐ.
- Mean=20รท5=4; median=3; mode=3.
- 31โ11=20.
- 45รท15=3.
- 70.
- Qโ=30th, median=60th, Qโ=90th.
- Class midpoints are used because individual values are unknown.
- For example, a truncated axis, unequal pictogram symbols, missing labels or inappropriate scale.
Reflection
- Can you choose a suitable graph?
- Can you explain what an answer means?
- Can you challenge an unsupported claim?
Revision Guidance and Readiness
- Attempt the questions without notes first.
- Use the answers or worked solutions to identify the exact step that needs attention.
- Return to the relevant lesson, then retry missed questions.
- You are ready to move on when you can explain your method and check your result independently.