L2: The SBA Project (1): Title, Introduction and Collecting Data

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SBA practice · Planning the project

Question 1 [9 marks]

A student wants to investigate whether it is cheaper to buy a television on hire purchase or with cash.

(a) Write a clear and concise title for the project and ONE objective that is linked to the title. [3]

MARK SCHEME — (a) (max 3)

title is clear, concise and about a real-world problem (1) [1] objective stated clearly (1) [1] objective relates to the title (e.g. “to compare the cash price with the hire purchase total for the same television in two stores”) (1) [1]

(b) Write a short background statement and state the mathematics you will use to analyse the data. [3]

MARK SCHEME — (b) (max 3)

background gives context (why buying on credit matters to families) (1) [1] purpose is relevant to the background (1) [1] method of analysis: percentage increase, total cost of credit, simple-interest rate (1) [1]

(c) Describe how the student will collect the data, the type of data and the sample. [3]

MARK SCHEME — (c) (max 3)

says the method: visit / website of two stores, record prices (1) [1] identifies the data as secondary / primary (prices recorded by the student) and says which store and which television model (1) [1] describes the process clearly, including the number of stores or models compared (1) [1]

SBA practice · Questionnaire design

Question 2 [7 marks]

A group of students decides to investigate how many hours per week students in Form 5 spend studying, and the effect on test marks.

(a) State TWO suitable objectives. [2]

MARK SCHEME — (a) (max 2)

to find the mean (average) number of study hours per week of Form 5 students (1) [1] to investigate whether students who study more hours obtain higher test marks (1) [1]

(b) Write TWO closed questions for the questionnaire. [2]

MARK SCHEME — (b) (max 2)

e.g. “How many hours per week do you study? (0–5, 6–10, 11–15, over 15)” (1) [1] e.g. “What was your mark in the last Mathematics test?” (1) [1]

(c) Describe how to choose a sample of 30 students and explain how bias is avoided. [3]

MARK SCHEME — (c) (max 3)

use the Form 5 register and choose 30 students at random (1) [1] e.g. draw names from a hat or use a random-number generator (1) [1] bias avoided because every student has an equal chance and friends are not chosen on purpose (1) [1]

The SBA Project (1): Title, Introduction and Collecting Data

By the end of this lesson you can…

Explainer video

The SBA Project (1): Title, Introduction and Collecting Data

Key notes

Topic

Title (2)

Introduction (6)

Method of data collection (3)

Primary vs secondary

Sampling

Raw data

Planning

EXAM TIPS & COMMON MISTAKES

Games

Paper 1 practice — multiple choice

Investigation and project questions

MARK SCHEME — (a) (max 3)

MARK SCHEME — (b) (max 3)

MARK SCHEME — (c) (max 3)

MARK SCHEME — (a) (max 2)

MARK SCHEME — (b) (max 2)

MARK SCHEME — (c) (max 3)

Lesson readiness

Syllabus sources and past papers