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IB DP Maths: AA HL復(fù)習(xí)筆記4.1.4 Linear Transformations of Data

Category: IB課程, 教材筆記, 福利干貨 Date: 2022年7月13日 上午10:06

Linear Transformations of Data

Why are linear transformations of data used?

  • Sometimes data might be very large or very small
  • You can apply a?linear transformation?to the data to make the values more manageable
    • You may have heard this referred to as:
      • Effects of constant changes
      • Linear coding
  • Linear transformations of data can?affect the statistical measures

How is the mean affected by a linear transformation of data?

How is the variance and standard deviation affected by a linear transformation of data?

Exam Tip

Worked Example

A teacher marks his students’ tests. The raw mean score is 31 marks and the standard deviation is 5 marks. The teacher standardises the score by doubling the raw score and then adding 10.

a)? ? ? ?Calculate the mean standardised score.

4-1-4-ib-ai-aa-sl-linear-trans-data-a-we-solution

b)? ? ? ?Calculate the standard deviation of the standardised scores.

4-1-4-ib-ai-aa-sl-linear-trans-data-b-we-solution

 

 

 

 

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