8 4 Kit is researching a type of mould that grows on oak and ash trees. He decides to take a sample of 20 trees from a local arboretum to study. The arboretum has a detailed database listing all of the trees growing there. Approximately 5% of the trees in the arboretum are oak trees, and approximately 3% are ash trees. (a) State the name of each of the following three sampling methods. A Kit assigns a number to each of the oak trees and ash trees in the arboretum, and uses a random number generator to pick 10 oak trees and 10 ash trees. (2) _____________________________________________________________________________________ _____________________________________________________________________________________ B Kit chooses 10 oak trees near the southern entrance to the arboretum, and 10 ash trees near the western entrance. (1) _____________________________________________________________________________________ _____________________________________________________________________________________ C Kit asks the manager of the arboretum to select a sample of 10 oak trees and 10 ash trees that she feels is representative of the trees in the arboretum. (1) _____________________________________________________________________________________ _____________________________________________________________________________________ There are 917 oak trees in the arboretum. (b) Explain how you would use technology to get a systematic sample of 10 oak trees in a list format to be printed out. (4) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________
Get full Socratic AI guidance on this question — free in the Applaa desktop app
Appy Buddy guides you step-by-step toward the answer without giving it away. Type your attempt and get instant, mark-scheme-aware clues that teach you to think like an examiner.
Join Applaa Community
Create your own games, learn AI concepts, program interactive apps, and share with a kid-safe community approved by parents. Free forever on Windows and Mac.
Available for Windows and macOS · COPPA Compliant
Exam Specification Info
This question is part of the UK A-Level Mathematics syllabus. In the actual exam, structured questions typically require linking specific keywords to gain full marks. Applaa helps you drill these topics.
While Other Kids Get an AI Head Start, Is Yours Falling Behind?
Give your child the same AI app-building, exam prep and tutoring edge — free for the first month, no credit card needed.
Join 10,000+ students building their first AI-powered apps with Applaa