For a distribution with mean 100 and standard

Shivanisatale710

Shivanisatale710

Answered question

2022-08-08

For a distribution with mean 100 and standard deviation 20, a Z-score of 4.5 corresponds to a value

 

Answer & Explanation

Jazz Frenia

Jazz Frenia

Skilled2023-05-29Added 106 answers

To find the corresponding value for a Z-score of 4.5 in a distribution with a mean of 100 and a standard deviation of 20, we can use the formula for converting a Z-score to a raw score:
X=mean+Z×standard deviation
Substituting the given values, we have:
X=100+4.5×20
Calculating this expression:
X=100+90
X=190
Therefore, a Z-score of 4.5 corresponds to a value of 190 in the distribution.

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