Question

A learner has the following scores.

Answer 1

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:

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