Find the standard score for the given data value.
-A data value in the 58th percentile.
A) $z = 0.2$
B) $z = - 2.5$
C) $\mathrm { z } = 72.57$
D) $z = - 1.6$

Question

Find the standard score for the given data value.
-A data value in the 58th percentile. 
A) $z = 0.2$
B) $z = - 2.5$
C) $\mathrm { z } = 72.57$
D) $z = - 1.6$

Quizplus · Accepted Answer

The standard score (z-score) corresponding to the 58th percentile is approximately $z = 0.2$. This is because the 50th percentile corresponds to a z-score of 0, and as the percentile increases above 50, the z-score increases above 0 in a standard normal distribution. The 58th percentile is slightly above the median, indicating a z-score slightly above 0.

Find the Standard Score for the Given Data Value z=0.2z = 0.2z=0.2

Find the Standard Score for the Given Data Value $z = 0.2$