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A learner has the following scores.
an ACT composite score of 32
an SAT mathematics score of 760
What are the z-scores for both data points? Round to the nearest hundredth.
Recall the following:
For the ACT, the mean composite score was 21.0 with a standard deviation of 5.2.
For the SAT mathematics score, the mean was 516 with a standard deviation of 116.

Respuesta :

A Z-score helps us to understand how far is the data from the mean.  The Z-score of the learner for ACT is 2.1154, while for SAT is 2.1.

What is Z-score?

A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,

Z = (X-μ)/σ

Where Z is the Z-score,

X is the data point,

μ is the mean and σ is the standard variable.

Given the mean for the ACT score is 21, while the standard deviation is 5.2, therefore, the Z-score for the ACT composite score will be,

Z = (32-21)/5.2 = 2.1154

Similarly, given the mean for the SAT score is 516, while the standard deviation is 116, therefore, the Z-score for the SAT composite score will be,

Z = (760-516)/116 = 2.1

Hence, the Z-score of the learner for ACT is 2.1154, while for SAT is 2.1.

Learn more about Z-score:

https://brainly.com/question/13299273

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