Statistical z Score Formula

Defining Outliers using z Scores

Usefulness of z Scores

Formula for the z Score

Importance of z Scores

In statistical analysis for psychological research, what does a z score indicate about a particular raw score?

In a psychological study, researchers calculated z scores for participants' performance on a memory task. Arrange the following participants in order from the highest score to the lowest score based on their relative position in the distribution.

A psychologist is analyzing how various statistical adjustments to a research dataset affect the resulting standardized scores. Match each statistical change with its specific impact on the participants' $z$ scores.

A researcher is comparing a student's performance on two different psychological assessments that use different measurement scales. The researcher concludes that because the student achieved a $z$ score of $+2.1$ on the first assessment and a $z$ score of $+1.5$ on the second, the student's relative standing is higher on the first assessment. This conclusion is statistically valid.

In psychological research, what is the primary function of converting a raw score into a $z$ score?

Match each $z$ score with the statement that accurately describes its relative location in a distribution of psychology test scores.

In a psychological study on social anxiety, the sample mean is 50 and the standard deviation is 10. A participant who receives a raw score of 35 on this assessment has a z-score of _____.