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Case study·Hard exam skill (4/5)·No calculatorNeeds mentor review

Difficulty guide

The label describes the problem, not your ability.

1/5 - Foundational

Warm-up setup; checks one basic idea.

2/5 - Routine exam skill

Normal syllabus skill; usually one main rule or interpretation.

3/5 - Standard multi-step

Exam-style problem with multiple steps or a common trap.

4/5 - Hard exam skill

High-end exam problem; combines methods carefully.

5/5 - Challenge

Stretch problem beyond normal exam pressure.

Question

Two sections have marks distributed around 50.50. Section A has scores 40,50,6040,50,60 with frequencies 5,10,5.5,10,5. Section B has scores 30,50,7030,50,70 with frequencies 5,10,5.5,10,5.
Total: 4 marks

(a) Show that both sections have mean 5050. (1 mark)

(b) Find the variance of each section. (2 marks)

(c) Which section has marks more concentrated near the mean? (1 mark)

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cbse-math-11.u5.t5-3.case.005

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