sat scores have a mean of 500 and standard deviation of 200. act scores have a mean of 20 and a standard deviation of 5. suppose that student a has an sat score of 600, and student b has an act score of 25. using z-scores, which student had a better college entrance exam score?

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21-10-2022
Mathematics

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sat scores have a mean of 500 and standard deviation of 200. act scores have a mean of 20 and a standard deviation of 5. suppose that student a has an sat score of 600, and student b has an act score of 25. using z-scores, which student had a better college entrance exam score?

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contexto1023 contexto1023 · Answer 1 · 2022-10-27T04:25:12-04:00

‘B’ had a better college entrance exam score due to the higher value of Z-Score.

The Z-score of an observation is the number of standard deviations it falls above or below the mean. Standard deviation is a statistic that is used to measure the dispersion of a dataset relative to its mean and is calculated by doing the square root of the variance.

[tex]Z=\frac{(observation-mean)}{standard deviation}[/tex]

By putting the values as given in the question,We get,

A's score is (600 - 500) / 200 = 0.5 standard deviation i.e. above the mean.

B's score is (25 - 20) / 5 = 1 standard deviations i.e. above the mean.

Thus ‘B’ had a better score.

To learn more about Z-Score visit:

https://brainly.com/question/25638875

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