Daily Practice

Higher

22nd May 2025

5 questions · Higher tier · 360 questions in this band

1
Regression and the PMCC
A PMCC value of r = 0.85 is calculated for two variables. Describe the strength and direction of the correlation.
2
Stratified Sampling (Higher)
A school stratifies by year and gender: Year 7 has 60 boys and 50 girls; Year 8 has 55 boys and 65 girls (230 total). A stratified sample of 46 students is required. How many Year 7 girls should be sampled?
3
Capture Recapture
40 birds are caught, ringed and released. Later, 60 birds are caught and 12 are found to be ringed. Estimate the population.
4
Crude and Standardised Rates
A town's crude death rate is 8 per 1000 and its population is 25,000. Calculate the number of deaths.
5
Conditional Probability (Higher)
In a survey of 40 people, 25 own a car. Of those, 15 also own a bike. Find P(owns a bike given owns a car).

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