Z-scores are expressed in what kind of units?

Prepare for the Discovering Statistics Using IBM SPSS Statistics Test with detailed questions and thorough explanations. Enhance your statistical understanding and apply SPSS effectively. Get ready to excel in your assessment!

Multiple Choice

Z-scores are expressed in what kind of units?

Explanation:
Z-scores express how far a value lies from the mean in terms of standard deviations. You compute a z-score by subtracting the mean and dividing by the standard deviation, so it shows how many standard deviation units the observation is above or below the mean. For example, a z-score of 1 means one standard deviation above the mean, while a z-score of -2 means two standard deviations below. This standardization lets you compare values from different distributions on the same scale. The other options don’t fit: raw data units keep the original measurement scale, probabilities aren’t the z-score itself (they come from looking up the area under the normal curve), and percentages of the mean aren’t what a z-score represents.

Z-scores express how far a value lies from the mean in terms of standard deviations. You compute a z-score by subtracting the mean and dividing by the standard deviation, so it shows how many standard deviation units the observation is above or below the mean. For example, a z-score of 1 means one standard deviation above the mean, while a z-score of -2 means two standard deviations below. This standardization lets you compare values from different distributions on the same scale. The other options don’t fit: raw data units keep the original measurement scale, probabilities aren’t the z-score itself (they come from looking up the area under the normal curve), and percentages of the mean aren’t what a z-score represents.

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