Transforming an entire distribution of scores into z-scores changes an originally positively skewed distribution to a negatively skewed z-score distribution. True or False

Lilliana Livingston

Lilliana Livingston

Answered question

2022-07-20

Transforming an entire distribution of scores into z-scores changes an originally positively skewed distribution to a negatively skewed z-score distribution. True or False

Answer & Explanation

Octavio Barr

Octavio Barr

Beginner2022-07-21Added 11 answers

z-score:
By transforming the original scores into z-scores, the resulting distribution has mean 0 and standard deviation 1. However, the shape of the distribution remain unchanged.
The given statement is:
Transforming an entire distribution of scores into z-scores changes an originally positively skewed distribution to a negatively skewed z-score distribution.
From the definition of z-score, it is known that the shape of the distribution do not change by transforming the original scores to z-scores. Therefore, the given statement is false.
Answer: False.

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