OCR · A-Level · Physics

    Course version: H556 · Version from Sept 2015

    (a) systematic errors (including zero errors) and random errors in…

    Full specification wording

    Measurements and uncertainties: (a) systematic errors (including zero errors) and random errors in measurements

    Systematic errors shift every reading by the same amount or in the same proportion, so they affect accuracy but not precision.

    Checked against the OCR H556 specification (opens in a new tab) on .

    • Point 1 of 4
    • 4 key terms

    Study notes

    From the checked teaching notes for this specification point.

    The idea

    Systematic errors shift every reading by the same amount or in the same proportion, so they affect accuracy but not precision. A zero error is a systematic error where an instrument does not read zero when it should; for example, a top-pan balance reading 0.02 g with nothing on it. Random errors vary unpredictably between readings, often due to fluctuations or reading uncertainty, and affect precision. Repeating measurements and averaging reduces random errors, while systematic errors require calibration or correction. When analysing data, look for a consistent offset (systematic) or scatter around a mean (random).

    What earns the marks

    • Systematic errors cause all readings to be shifted by a consistent amount or proportion.
    • Zero errors are systematic errors where the instrument does not read zero correctly.
    • Random errors cause unpredictable variation between repeated readings.
    • Averaging repeated readings reduces the effect of random errors.
    • Systematic errors cannot be reduced by averaging; they require calibration or correction.

    Common mistakes and how to put them right

    • Thinking that repeating measurements removes a systematic error.

      Put it right: Repetition only reduces random error, while systematic error needs calibration or correction.

    • Confusing zero error with random error.

      Put it right: A zero error is a fixed offset and is systematic.

    • Believing that systematic errors affect precision.

      Put it right: They mainly affect accuracy, while random errors affect precision.

    • Assuming all errors are random.

      Put it right: Check for a consistent offset that indicates a systematic error.

    Exam tips

    • Identify whether an error shifts all readings in the same direction (systematic) or scatters them (random).
    • For a zero error, state the correction: subtract the zero reading from all measurements.
    • Use repeated readings and a mean to reduce random error, and quote the uncertainty.
    • When describing an improvement, match it to the type of error: calibration for systematic, averaging for random.

    Try the lesson

    The start of the Measurements and uncertainties: (a) systematic errors (including zero errors) and random errors in measurements lesson, made from checked teaching notes for this specification point.

    Listen

    Systematic errors shift every reading by the same amount or in the same proportion, so they affect accuracy but not precision. A zero error is a systematic error where an instrument does not read zero when it should; for example, a top-pan balance reading 0.02 g with nothing on it. Random errors vary unpredictably between readings, often due to fluctuations or reading uncertainty, and affect precision. Repeating measurements and averaging reduces random errors, while systematic errors require calibration or correction. When analysing data, look for a consistent offset (systematic) or scatter around a mean (random). A strong answer earns marks for these points. Systematic errors cause all readings to be shifted by a consistent amount or proportion. Zero errors are systematic errors where the instrument does not read zero correctly. Random errors cause unpredictable variation between repeated readings. Averaging repeated readings reduces the effect of random errors. Exam tip: Identify whether an error shifts all readings in the same direction (systematic) or scatters them (random).

    See it

    A top-down flowchart. The top node 'Errors in measurements' splits into two branches: 'Systematic errors' and 'Random errors'. The systematic branch leads to two nodes: 'Shift every reading by the same amount or proportion' and 'Zero error: instrument does not read zero when it should'. The first of these leads to 'Affect accuracy but not precision'; the zero-error node leads to 'Corrected by calibration or correction'. The random branch leads to 'Vary unpredictably between readings', which leads to 'Affect precision', which leads to 'Reduced by repeating measurements and averaging'.
    A classification of measurement errors into systematic errors (including zero errors) and random errors, showing their effects and how each is addressed.

    Key words

    Say what each word means before you turn the card.

    Systematic errors

    Try answering aloud or in your head before turning the card.

    Zero errors

    Try answering aloud or in your head before turning the card.

    Random errors

    Try answering aloud or in your head before turning the card.

    Averaging

    Try answering aloud or in your head before turning the card.

    See every definition
    Systematic errors
    Errors that shift every reading by the same amount or in the same proportion, affecting accuracy but not precision.
    Zero errors
    A systematic error where an instrument does not read zero when it should, such as a top-pan balance reading 0.02 g with nothing on it.
    Random errors
    Errors that vary unpredictably between readings, often due to fluctuations or reading uncertainty, and affect precision.
    Averaging
    Repeating measurements and averaging reduces random errors, but cannot reduce systematic errors, which require calibration or correction.

    Label the diagram

    Some boxes have lost their names. Pick the right name for each number.

    The diagram again, with 3 boxes numbered instead of named. A top-down flowchart. The top node 'Errors in measurements' splits into two branches: 'Systematic errors' and 'Random errors'. The systematic branch leads to two nodes: 'Shift every reading by the same amount or proportion' and 'Zero error: instrument does not read zero when it should'. The first of these leads to 'Affect accuracy but not precision'; the zero-error node leads to 'Corrected by calibration or correction'. The random branch leads to 'Vary unpredictably between readings', which leads to 'Affect precision', which leads to 'Reduced by repeating measurements and averaging'.
    • 1Box 1

    • 2Box 2

    • 3Box 3

    0 of 3 labelled

    There is more to this lesson

    The full lesson goes on to check your understanding and help you earn the marks. Create a free account to carry on, with your progress saved.

    Carry on with the full lesson

    A week of Premium from your first lesson · Then the free plan continues · No card, no charge

    Test your understanding of Measurements and uncertainties: (a) systematic errors (including zero errors) and random errors in measurements

    Active recall beats re-reading. Take an instant quiz now to test what you’ve learned and lock it into long-term memory.

    Take topic quiz

    A week of Premium from your first lesson · Then the free plan continues · No card, no charge