Pearson Edexcel · A-Level · Mathematics

    Course version: 9MA0 · Version from Mar 2026

    Recognise and interpret possible outliers in data sets and statistical…

    Full specification wording

    Data presentation and interpretation: 2.4 Recognise and interpret possible outliers in data sets and statistical diagrams. Select or critique data presentation techniques in the context of a statistical problem. Be able to clean data, including dealing with missing data, errors and outliers.

    An outlier is a value that lies far from the rest of the data.

    Checked against the Pearson Edexcel 9MA0 specification (opens in a new tab) on .

    • Point 4 of 4
    • 4 key terms

    Study notes

    From the checked teaching notes for this specification point.

    The idea

    An outlier is a value that lies far from the rest of the data. A common rule flags values below the lower quartile minus 1.5 times the interquartile range or above the upper quartile plus 1.5 times the interquartile range. Outliers may be genuine extreme values or errors, so interpret them in context before deciding what to do. Selecting or critiquing presentation means choosing a diagram or summary that suits the data, for example a box plot for spread and outliers or a histogram for distribution shape, and explaining the strengths and limitations of that choice. Cleaning data means checking for missing values, impossible or misrecorded entries and outliers, then deciding whether to correct, exclude or retain each one and stating the effect on the analysis.

    What earns the marks

    • Identifies possible outliers using a stated rule such as quartiles and 1.5 times the interquartile range.
    • Interprets an outlier in context, distinguishing a genuine extreme value from a likely error.
    • Selects a suitable data presentation technique for a given statistical problem and justifies the choice.
    • Critiques a given presentation by commenting on its suitability, clarity or possible distortion.
    • Cleans a data set by identifying missing values, errors and outliers and explaining the treatment of each.

    Common mistakes and how to put them right

    • Removing every outlier automatically without checking whether it is genuine.

      Put it right: Interpret each value in context before deciding.

    • Using the mean and range to identify outliers when the data is skewed.

      Put it right: Use quartiles and the interquartile range, which are resistant to extreme values.

    • Ignoring missing data and treating the remaining values as complete.

      Put it right: State how many values are missing and how they were handled.

    Exam tips

    • Show the quartiles and the 1.5 times interquartile range boundaries when identifying outliers.
    • When critiquing a diagram, give one strength and one limitation linked to the data and the question.
    • For cleaning data, state clearly what you did with each problem value and the effect on your conclusion.

    Try the lesson

    The start of the Data presentation and interpretation: 2.4 Recognise and interpret possible outliers in data sets and statistical diagrams. Select or critique data presentation techniques in the context of a statistical problem. Be able to clean data, including dealing with missing data, errors and outliers. lesson, made from checked teaching notes for this specification point.

    Have a go first

    A data set of 20 values has a lower quartile of 12 and an upper quartile of 28. Using the 1.5 × IQR rule, which value would be classified as an outlier?

    Listen

    An outlier is a value that lies far from the rest of the data. A common rule flags values below the lower quartile minus 1.5 times the interquartile range or above the upper quartile plus 1.5 times the interquartile range. Outliers may be genuine extreme values or errors, so interpret them in context before deciding what to do. Selecting or critiquing presentation means choosing a diagram or summary that suits the data, for example a box plot for spread and outliers or a histogram for distribution shape, and explaining the strengths and limitations of that choice. Cleaning data means checking for missing values, impossible or misrecorded entries and outliers, then deciding whether to correct, exclude or retain each one and stating the effect on the analysis. A strong answer earns marks for these points. Identifies possible outliers using a stated rule such as quartiles and 1.5 times the interquartile range. Interprets an outlier in context, distinguishing a genuine extreme value from a likely error. Selects a suitable data presentation technique for a given statistical problem and justifies the choice. Critiques a given presentation by commenting on its suitability, clarity or possible distortion. A common slip: Removing every outlier automatically without checking whether it is genuine. Instead, interpret each value in context before deciding. Exam tip: Show the quartiles and the 1.5 times interquartile range boundaries when identifying outliers.

    See it

    A top-down flowchart. A data set leads to checking for missing values, then checking for errors, then identifying possible outliers using quartiles and 1.5 times the interquartile range. Each outlier is then interpreted in context, which branches into two possibilities: a genuine extreme value or a likely error. Both branches lead to deciding to correct, exclude or retain, and finally to stating the effect on the analysis.
    It shows the steps of cleaning a data set, from checking for missing values and errors through identifying and interpreting outliers to deciding their treatment and stating the effect on the analysis.

    Key words

    Say what each word means before you turn the card.

    Outlier

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

    Quartiles and interquartile range

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

    Selecting or critiquing presentation

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

    Cleaning data

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    See every definition
    Outlier
    A value that lies far from the rest of the data, which may be a genuine extreme value or an error.
    Quartiles and interquartile range
    Summaries used to identify possible outliers, being resistant to extreme values where the mean and range are not.
    Selecting or critiquing presentation
    Choosing a diagram or summary that suits the data and explaining the strengths and limitations of that choice.
    Cleaning data
    Checking for missing values, impossible or misrecorded entries and outliers, then deciding whether to correct, exclude or retain each one.

    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. A data set leads to checking for missing values, then checking for errors, then identifying possible outliers using quartiles and 1.5 times the interquartile range. Each outlier is then interpreted in context, which branches into two possibilities: a genuine extreme value or a likely error. Both branches lead to deciding to correct, exclude or retain, and finally to stating the effect on the analysis.
    • 1Box 1

    • 2Box 2

    • 3Box 3

    0 of 3 labelled

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