National Counselor Exam (NCE)

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What does a t-score of 40 indicate about a person's performance in relation to the mean?

  1. The score is average

  2. The score is one standard deviation above the mean

  3. The score is one standard deviation below the mean

  4. The score is significantly above the mean

The correct answer is: The score is one standard deviation below the mean

A t-score of 40 indicates that the individual's performance is one standard deviation below the mean. In t-score distributions, the mean is typically set at 50, and the standard deviation is set at 10. Therefore, when a score is below 50, each decrement of 10 represents a movement of one standard deviation downwards from the mean. Since a t-score of 40 is 10 points below the mean of 50, it falls within the range that signifies performance lower than average. This is a key concept in understanding how to interpret scores on a t-distribution and applies specifically to psychological assessments and educational measurements, where such scoring systems are commonly used.

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