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Some descriptive statistics for a Set of test scores are shown above for this test a certain student has a standardized score of z=-1.2 what score did the student receive on the test

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okpalawalter8

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Answer:

The score of the student is  x = 779.42

Step-by-step explanation:

Generally we can mathematically represent the z-score as

         [tex]z = \frac{x - Mean}{ stDev}[/tex]

Here x is the score of the student

substituting 1045.7 for the Mean, 221.9 for the stDev and -1.2 for z we have  

          [tex]-1.2 = \frac{x - 1045.7 }{ 221.9}[/tex]

=>       [tex]-266.28 = x -1045.7[/tex]

=>     x  =  -266.28 + 1045.7

=>     x = 779.42

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raphealnwobi

The student scored 779.42 for him to have a z score of - 1.2;

z score is used to determine by how many standard deviations the raw score is above or below the mean.

The z score is given by:

[tex]z=\frac{x-\mu}{\sigma/ } \\\\where\ x\ is\ raw\ score,\mu\ is\ mean, \sigma\ is\ standard\ deviation[/tex]

Given that μ = 1045.7, σ = 221.9 Hence for z = -1.2:

[tex]-1.2=\frac{x-1045.7}{221.9} \\\\x=779.42[/tex]

The student scored 779.42 for him to have a z score of - 1.2;

Find out more on z score at: https://brainly.com/question/25638875

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