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Darina [25.2K]
2 years ago
8

Which of the following fitness scores is the highest relative score?

Mathematics
1 answer:
evablogger [386]2 years ago
6 0

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.

<h3>What is the z-score formula?</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

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 brainly.com/question/28096232

#SPJ1

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