A negatively-skewed distribution has = 60, = 10. If this entire distribution is transformed into z-scores, describe the shape, mean, and standard deviation for the resulting distribution of z-scores.

Linda Peters

Linda Peters

Answered question

2022-09-14

A negatively-skewed distribution has = 60, = 10. If this entire distribution is transformed into z-scores, describe the shape, mean, and standard deviation for the resulting distribution of z-scores.

Answer & Explanation

devilvunga

devilvunga

Beginner2022-09-15Added 14 answers

The mean is 60 and the standard deviation is 10.
If the entire distribution is transformed into z-scores, the mean of the transformed distribution is 0 and the standard deviation is 1.
Here, the population distribution is negatively skewed. Thus, the transformed distribution also negatively skewed. Therefore, the shape of the transformed distribution is negatively skewed.

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