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Sagot :
Due to the higher z-score, the correct option regarding the highest relative score is:
A score of 4730 on a test with a mean of 3960 and a standard deviation of 555.5.
What is the z-score formula?
The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean, hence the higher the z-score, the higher the score X is relative to other scores.
The respective z-scores for this problem are given by:
- (39 - 31)/6.1 = 1.31.
- (1136 - 1080)/67.8 = 0.83.
- (4730 - 3960)/555.5 = 1.39.
Hence the correct option is:
A score of 4730 on a test with a mean of 3960 and a standard deviation of 555.5.
More can be learned about z-scores at https://brainly.com/question/28096232
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