PAss Functional Skills

Sampling and bias

Sampling and bias for Access to HE Music: what it means, how to set the working out, and the questions it is asked in.
  • Access to HE
  • Music
  • Spec R4 · R8
  • 14 min read
  • 10 revision boxes

Introduction

2 boxes
1 min read

What is sampling and bias?

Listen to this box

Transcript

A short spoken summary of sampling and bias and where it is used.

A spoken walk-through of sampling and bias before you read the notes.
The examiner marks the working, so a correct answer with no method still drops marks.
The layout below is the one the mark scheme expects.

Diagram showing sampling and bias laid out step by step

The same idea drawn out, so the method is visible.
Worth knowing: x2+5x+6=0x^2 + 5x + 6 = 0.
2 rows

The sampling and bias reference table

This idea appears again in the higher-mark questions, so it is worth over-learning.
Term
Meaning
Example
Common slip
Row 1 column 1
Row 1 column 2
≈160\approx 160
Row 1 column 4
Row 2 column 1
Row 2 column 2
34×25\frac{3}{4} \times \frac{2}{5}
Row 2 column 4

Learning

6 boxes
5 steps

How to work with sampling and bias

Sketch the shape even when the question does not ask for one — it makes the next step obvious.
The layout below is the one the mark scheme expects.

Diagram showing sampling and bias laid out step by step

The same idea drawn out, so the method is visible.
Worth knowing: ×10\times 10 moves every digit one column left.
  1. Read the question and write down what is being asked for.
  2. Set out the working for sampling and bias in the order the method gives.
  3. Substitute the values and simplify.
  4. Check the answer against an estimate before writing it down.
Start from the definition and substitute the numbers the question gives you.
Simplify one line at a time: 34×25\frac{3}{4} \times \frac{2}{5}.
Answer: ≈160\approx 160
3 rules

Key facts: Sampling and bias

Practise the routine version until it is automatic, then move to the multi-step questions.

  • Rule 1

    How sampling and bias behaves in the 1st of the cases the specification names.
    a2+b2=c2a^2 + b^2 = c^2

  • Rule 2

    How sampling and bias behaves in the 2nd of the cases the specification names.
    x2+5x+6=0x^2 + 5x + 6 = 0

  • Rule 3

    How sampling and bias behaves in the 3rd of the cases the specification names.
    49=7\sqrt{49} = 7
4 steps

How to work with sampling and bias

The examiner marks the working, so a correct answer with no method still drops marks.
Worth knowing: 49=7\sqrt{49} = 7.
  1. Read the question and write down what is being asked for.
  2. Set out the working for sampling and bias in the order the method gives.
  3. Substitute the values and simplify.
  4. Check the answer against an estimate before writing it down.
Start from the definition and substitute the numbers the question gives you.
Simplify one line at a time: ×10\times 10 moves every digit one column left.
Answer: ≈160\approx 160
2 rules

Key facts: Sampling and bias

This idea appears again in the higher-mark questions, so it is worth over-learning.

  • Rule 1

    How sampling and bias behaves in the 1st of the cases the specification names.
    34×25\frac{3}{4} \times \frac{2}{5}

  • Rule 2

    How sampling and bias behaves in the 2nd of the cases the specification names.
    34×25\frac{3}{4} \times \frac{2}{5}

  • Rule 3

    How sampling and bias behaves in the 3rd of the cases the specification names.
    49=7\sqrt{49} = 7
3 steps

How to work with sampling and bias

Sketch the shape even when the question does not ask for one — it makes the next step obvious.
The layout below is the one the mark scheme expects.

Diagram showing sampling and bias laid out step by step

The same idea drawn out, so the method is visible.
  1. Read the question and write down what is being asked for.
  2. Set out the working for sampling and bias in the order the method gives.
  3. Substitute the values and simplify.
  4. Check the answer against an estimate before writing it down.
Start from the definition and substitute the numbers the question gives you.
Simplify one line at a time: x2+5x+6=0x^2 + 5x + 6 = 0.
Answer: ≈160\approx 160
3 rules

Key facts: Sampling and bias

Practise the routine version until it is automatic, then move to the multi-step questions.

  • Rule 1

    How sampling and bias behaves in the 1st of the cases the specification names.
    x2+5x+6=0x^2 + 5x + 6 = 0

  • Rule 2

    How sampling and bias behaves in the 2nd of the cases the specification names.
    49=7\sqrt{49} = 7

  • Rule 3

    How sampling and bias behaves in the 3rd of the cases the specification names.
    34×25\frac{3}{4} \times \frac{2}{5}

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Examples

2 boxes
1 marks · worked

Worked example: sampling and bias

Check the answer against an estimate before you move on, so a place-value slip is caught here.
2 marks · worked

Practice question 10: ×10\times 10 moves every digit one column left

Read the units in the question before you start; a converted unit is the most common slip.
Worth knowing: a2+b2=c2a^2 + b^2 = c^2.

Practice bank

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Practice questions
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Topics
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Marking and solutions
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Common questions

How many marks is sampling and bias usually worth?
Between one and four, depending on how many steps the question asks for.
Is this on the Access to HE Music paper?
Yes — it sits in the Programming strand.