Question

which of the following z scores represents a raw score that is the most atypical (i.e., furthest from the mean)? +2.20 -3.10 -0.81 +0.47 question 6 0.66 pts a z score of +1.90 is above the mean more than is typical. false true

Explanation:

Step1: Recall z - score concept

The magnitude of the z - score represents the distance from the mean. Larger the magnitude, further the raw - score is from the mean.

Step2: Calculate magnitudes of given z - scores

For \(z_1 = + 2.20\), \(|z_1|=2.20\); for \(z_2=-3.10\), \(|z_2| = 3.10\); for \(z_3=-0.81\), \(|z_3|=0.81\); for \(z_4 = + 0.47\), \(|z_4|=0.47\).

Step3: Compare magnitudes

Since \(3.10>2.20>0.81>0.47\), the z - score of \(-3.10\) has the largest magnitude.

Step4: Recall z - score interpretation for second question

A positive z - score indicates that the raw score is above the mean. A z - score of \(+1.90\) is relatively large (compared to typical values around 0), so it is above the mean more than is typical.

Answer:

Question 1: B. - 3.10
Question 2: True