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Practise

Question bank

Original exam-style questions, mapped to your syllabus. Answers are checked for mathematical equivalence and every attempt updates your mastery.

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12 questions

SA-ST-CS-0011 markL1 FoundationNon-calculatorStatistic
How many degrees of freedom does the die test have?

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Salam Academy Original Practice · Proposed mark scheme
SA-ST-CS-0031 markL1 FoundationNon-calculatorContingency
Find the degrees of freedom for a 3×43\times4 contingency table.

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Salam Academy Original Practice · Proposed mark scheme
SA-ST-CS-Q011 markL1 FoundationNon-calculatorStatistic
If an expected frequency is below 5 you should
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-ST-CS-X011 markL1 FoundationNon-calculatorGoodness of fit
8080 observations are tested against a uniform distribution over 44 categories. Find each expected frequency.

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Salam Academy Original Practice · Proposed mark scheme
SA-ST-CS-X031 markL1 FoundationNon-calculatorContingency
Find the degrees of freedom for a 2×22\times2 contingency table.

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Salam Academy Original Practice · Proposed mark scheme
SA-ST-CS-X051 markL1 FoundationNon-calculatorStatistic
In a χ2\chi^2 test you reject H0H_0 when
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-ST-CS-0022 marksL2 StandardNon-calculatorContingency
In a contingency table with N=100N=100, a cell's row total is 40 and column total is 50. Find its expected frequency.

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Salam Academy Original Practice · Proposed mark scheme
SA-ST-CS-0042 marksL2 StandardNon-calculatorGoodness of fit
Data in 7 classes (after combining) are tested for fit to a Poisson distribution whose mean is estimated from the data. Find ν\nu.

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Salam Academy Original Practice · Proposed mark scheme
SA-ST-CS-G012 marksL2 StandardCalculatorStatistic
A die is rolled 60 times giving 8,12,9,11,6,148,12,9,11,6,14. Find X2X^2 for a test of fairness.

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Salam Academy Original Practice · Proposed mark scheme
SA-ST-CS-X022 marksL2 StandardNon-calculatorStatistic
Observed frequencies 25,15,20,2025,15,20,20 with expected 2020 each. Find X2X^2.

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Salam Academy Original Practice · Proposed mark scheme
SA-ST-CS-X042 marksL2 StandardNon-calculatorGoodness of fit
Data in 55 classes are tested for fit to a binomial distribution with pp estimated from the data. Find ν\nu.

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Salam Academy Original Practice · Proposed mark scheme
SA-ST-CS-0053 marksL3 ExamCalculatorGoodness of fit
200 people are classified by blood group: O 82, A 78, B 30, AB 10. Theory gives proportions 0.45,0.40,0.10,0.050.45, 0.40, 0.10, 0.05. Find X2X^2 (3 s.f.).

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Salam Academy Original Practice · Proposed mark scheme