Question
If a student scored 12 on a test, of which the mean is 16 and the standard deviation is 4, what is his z-score?
The correct answer is
-1
Calculating Student Z-Score
The z-score measures how many standard deviations a specific data point is away from the mean. It is calculated using the formula:
$ z = \frac{X - \mu}{\sigma} $
Where:
- $X$ is the individual score (12)
- $\mu$ is the mean score (16)
- $\sigma$ is the standard deviation (4)
Applying the Z-Score Formula
Substitute the given values into the z-score formula:
$ z = \frac{12 - 16}{4} $
First, calculate the difference between the score and the mean:
$ 12 - 16 = -4 $
Next, divide this difference by the standard deviation:
$ z = \frac{-4}{4} $
$ z = -1 $
The student's z-score is -1. This means the student scored 1 standard deviation below the mean.
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A. In the split half method, the reliability coefficient of the whole test can be estimated with the help of
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Choose the correct answer from the options given below:
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