IB DP Maths: AI HL复习笔记4.1.5 Linear Transformations of Data
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
- You may have heard this referred to as:
- 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.
b)Calculate the standard deviation of the standardised scores.
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