Daily Practice

Higher

15th June 2025

5 questions · Higher tier · 360 questions in this band

1
Regression and the PMCC
For a data set, Sxy = 30, Sxx = 50, Syy = 40. Calculate the PMCC to 3 significant figures.
2
Stratified Sampling (Higher)
A stratified sample of 45 students is taken from a college with 300 Year 12 and 450 Year 13 students. Find how many Year 13 students are sampled.
3
Capture Recapture
A population estimate using capture-recapture gives N = 300, with n1 = 60 and n2 = 50. How many marked individuals, m, were found in the second sample?
4
Crude and Standardised Rates
A region recorded 90 deaths in a population of 45,000. Calculate the crude death rate per 1000 people.
5
Conditional Probability (Higher)
P(A and B) = 0.12 and P(B) = 0.3. Find P(A given B).

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