Question

Suppose your statistics professor reports test grades as z-scores (standard scores), and you received a z-score of 2.2 on an exam. This means your

Group of answer choices test score is 2.2 points higher than the mean score in the class. test score is 2.2 points lower than the mean score in the class. test score is 2.2 standard deviations lower than the mean score in the class. test score is 2.2 standard deviations higher than the mean score in the class.

Answer 1

Answer : - Yes, the above statement related to standard deviations are correct.

that is 2.2 SD higher than mean score of the class.

Because,

A normal distribution with a mean of 0 and a standard deviation of 1 is called a standard normal distribution.

The standard range of z-score of normal distribution lies between -3 to +3

A z-score describes the position of a raw score in terms of its distance from the mean, when measured in standard deviation units. The z-score is positive if the value lies above the mean, and negative if it lies below the mean.

Group of answer choices test score is 2.2 points higher than the mean score in the class. test score is 2.2 points lower than the mean score in the class.

We can say that

The z-score is positive if the value lies higher than the mean and

The z-score is negative if the value lies lower than the mean