Describe exactly what information is provided by a z-score. A positively skewed distribution has mu = 80, sigma = 12. If this entire distribution is transformed into z-scores, describe the shape, mean, and standard deviation for the resulting distribution of z-scores.

Noe Cowan

Noe Cowan

Answered question

2022-11-04

Describe exactly what information is provided by a z-score. A positively skewed distribution has μ = 80 , σ = 12. 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

Waldruhylm

Waldruhylm

Beginner2022-11-05Added 14 answers

Given:
μ = 80 , σ = 12
Z-score measures the distance of data point from the mean in terms of standard deviation.
If the entire distribution is transformed into z-scores, the shape of the distribution is remains the same. i.e. positively skewed.
Mean of resulting distribution of z-score is zero and standard deviation is 1

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