Examples Of Z Scores. The smallest Z score value is -098521 which is the lowest Z score value of Adrian Steve who has achieved the lowest score in the exam. Z-scores are a method to compare results to a normal population. A positive z-score indicates the raw score is higher than the mean average. To illustrate suppose company XYZ is given a Z-score of 3 and that company ABC is given a Z-score of 1.
EXAMPLE Step 5. What is the z -score for a student who earned a 75 on the test. A negative z-score reveals the raw score is below the mean average. Of these two company ABC has the greater likelihood of going bankrupt. The standard deviation is σ 4. A student wrote 2 quizzes.
There can be positive and negative values in Z scores.
Suppose the scores for a certain exam are normally distributed with a mean of 80 and a standard deviation of 4. Z Score x x σ 70 60 15 1015 06667. We can use the following steps to calculate the z-score. The scores on another college exam are normally distributed with mean μ 85 and standard deviation σ 8. The mean is μ 80. The z score is an example of a standardised unit of measurement.