Question
A standardized test has a mean score of 100 and a standard deviation of 15 . What z-scores correspond to: (Do not round-off answers) A. A score of 85 ? B. A score of 115 ? C. A score of 130 ?
Ask by Ramos Lynch. in Jamaica
Mar 13,2025
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Answer
The z-scores are:
- 85: -1
- 115: 1
- 130: 2
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To find the z-scores for the given scores, you can use the formula: z = (X - μ) / σ where X is the score, μ is the mean, and σ is the standard deviation. A. For a score of 85: z = (85 - 100) / 15 = -1. B. For a score of 115: z = (115 - 100) / 15 = 1. C. For a score of 130: z = (130 - 100) / 15 ≈ 2. So the z-scores are -1 for 85, 1 for 115, and approximately 2 for 130.