In Section 6.4 I said that T scores are designed to have a mean of 50 and a standard deviation of 10 and that the Achenbach Youth Self-Report measure produces T scores. The data in Figure 6.3 do not have a mean and standard deviation of exactly 50 and 10. Why do you suppose that this is so?

Section 6.4

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Figure 6.3 Histogram showing distribution of total behavior problem scores Frequency 50.0 40.0 30.0 20.0 10.0 0.0 20.00 40.00 60.00 80.00 Behavior problem score Cases weighted by frequency = Std. Dev. 10.563 Mean = 49.13 n = 289