A distribution of scores has a mean of 20.2 with a standard deviation of 0.89.Compare a score of 21.26 with a z score of 1.2.Which statement is correct?
A) The score of 21.26 is greater.
B) The z score of 1.2 is greater, resulting in a raw score of 21.27.
C) The z score of 1.2 is lower, resulting in a raw score of 21.4.
D) The z score of 1.2 is greater, resulting in a raw score of 22.19.

Question

Quizplus · Accepted Answer

To find the raw score corresponding to a z score of 1.2, use the formula: raw score = mean + (z score * standard deviation). Thus, raw score = 20.2 + (1.2 * 0.89) = 20.2 + 1.068 = 21.268. This is slightly greater than 21.26, making option B correct.

A Distribution of Scores Has a Mean of 20