$$\begin{array} { | l | l | }
\hline \boldsymbol { X } & \boldsymbol { f } \
\hline & \
\hline 17 & 2 \
\hline 16 & 4 \
\hline 15 & 5 \
\hline 14 & 7 \
\hline 13 & 7 \
\hline 12 & 8 \
\hline 11 & 10 \
\hline 10 & 9 \
\hline 9 & 5 \
\hline 8 & 3 \
\hline
\end{array}$$
-Which of the following measures represents the highest degree of relative performance?
A) 75th percentile
B) T-score of 72
C) z-score of 1.5
D) raw score of 85 (mean = 78; s.d. = 8.3)

Question

$$\begin{array} { | l | l | } 
\hline \boldsymbol { X } & \boldsymbol { f } \
\hline & \
\hline 17 & 2 \
\hline 16 & 4 \
\hline 15 & 5 \
\hline 14 & 7 \
\hline 13 & 7 \
\hline 12 & 8 \
\hline 11 & 10 \
\hline 10 & 9 \
\hline 9 & 5 \
\hline 8 & 3 \
\hline
\end{array}$$
-Which of the following measures represents the highest degree of relative performance?
A) 75th percentile
B) T-score of 72
C) z-score of 1.5
D) raw score of 85 (mean = 78; s.d. = 8.3)

Quizplus · Accepted Answer

The T-score of 72 represents the highest degree of relative performance because T-scores have a mean of 50 and a standard deviation of 10. A T-score of 72 is 2.2 standard deviations above the mean, which is higher than a z-score of 1.5 (1.5 standard deviations above the mean). The 75th percentile indicates a score better than 75% of the distribution, but it doesn't directly translate to standard deviation units. A raw score of 85 with a mean of 78 and a standard deviation of 8.3 results in a z-score of approximately 0.84, which is less significant than the T-score of 72.

-Which of the Following Measures Represents the Highest Degree of