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Learning objective

Utilize means and standard deviations of distributions to scale data values for comparison and interpretation, including standardizing data to a mean of 0 and a standard deviation of 1.

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  • Read the explanation.
  • Check key terms.
  • Practise with linked questions.
Cambridge IGCSE StatisticsTransformations of data sets

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Quick explanation

Utilize means and standard deviations of distributions to scale data values for comparison and interpretation, including standardizing data to a mean of 0 and a standard deviation of 1

  • This point belongs to Transformations of data sets, especially Transformations of data sets outcomes.
  • You need to be able to utilize means and standard deviations of distributions to scale data values for comparison and interpretation, including standardizing data to a mean of 0 and a standard deviation of 1.
  • The key ideas to know are Show and Explain.
  • Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.

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This objective helps connect Transformations of data sets outcomes to exam-style questions, flashcards, and revision notes for Transformations of data sets.

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Paper 1 structured question: Transformations of data sets

Paper 1Statistical Techniques2 marks

Description

Standardizing Heights

The dataset includes the heights of students in a class, with a mean of 160 cm and a standard deviation of 10 cm.

  1. a

    Calculate Calculate the z-score for a student with a height of 170 cm.

    Aim for approximately 2 distinct marking points.

    [2]
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