T-Score of a particular score in a data set is 50. If each score of the data set is multiplied by 10, what will be the new T-score of that particular score?

Correct option is C

A T-score is a standardized score where the mean is 50 and the standard deviation is 10. When the entire data set is scaled by multiplying by a constant like 10, the mean and standard deviation are affected proportionally. However, the T-score remains unchanged because it’s relative to the mean and standard deviation of the set. Thus, the T-score of the particular score stays at 50.

Information Booster:
T-scores are often used in psychological testing and educational assessments to standardize scores across different tests or distributions. They help compare an individual score to the overall distribution.

Additional Knowledge:
While multiplying each score by 10 increases the raw data, the relative position of that particular score to the mean stays the same. This is why standardized scores, like z-scores or T-scores, are helpful in comparing results from different tests with varying scales.