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CFA Level I · CFA Level I Exam · Introduction to Financial Data Science

An analyst has the following values for a feature: 8, 10, 12, 14, 56. The analyst applies min-max normalization to the value 14. The normalized value is closest to:

The normalized value is about 0.13. Min-max normalization subtracts the minimum of 8 from 14 to get 6, then divides by the range of 48, which gives 0.125. Reversing the numerator would give 0.88, which is wrong.

  1. A0.13
  2. B0.25Correct
  3. C0.88

Explanation

Min-max normalization = (X - min)/(max - min) = (14 - 8)/(56 - 8) = 6/48 = 0.125, which rounds to 0.13. The value 0.25 would result from using 12 as the numerator over 48, which is (12-8)/(56-8)=0.083, so it is not that either; 0.25 might come from dividing by 24. The value 0.88 comes from using (56-14)/48, the reversed numerator.

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