Question

Which score indicates the highest relative position? a. A score of 3.2 on a test with $\bar{X}=4.6$ and $s=1.5$ b. A score of 630 on a test with $\bar{X}=800$ and $s=200$ c. A score of 43 on a test with $\bar{X}=50$ and $s=5$

          Which score indicates the highest relative position?
a. A score of 3.2 on a test with $\bar{X}=4.6$ and $s=1.5$
b. A score of 630 on a test with $\bar{X}=800$ and $s=200$
c. A score of 43 on a test with $\bar{X}=50$ and $s=5$

Added by Agust-N L.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Sneha Ravi

08/06/2021

Step 1

The z-score is a measure of how many standard deviations away a score is from the mean. The formula for calculating the z-score is: $$z = \frac{X - \bar{X}}{s}$$ where $X$ is the individual score, $\bar{X}$ is the mean, and $s$ is the standard deviation. Now, Show more…

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Which score indicates the highest relative position? a. A score of 3.2 on a test with $\bar{X}=4.6$ and $s=1.5$ b. A score of 630 on a test with $\bar{X}=800$ and $s=200$ c. A score of 43 on a test with $\bar{X}=50$ and $s=5$