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.
<h3>What is Z-score?</h3>
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:
brainly.com/question/13299273
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