For the given data value, find the standard score and the percentile.
-A data value 0.6 standard deviations above the mean.
A) $z = 0.06$; percentile $= 51.99$
B) $\mathrm { z } = 0.6$; percentile $= 72.57$
C) $\mathrm { z } = 0.6$; percentile $= 2.5$
D) $\mathrm { z } = - 0.6$; percentile $= 27.43$

Question

For the given data value, find the standard score and the percentile.
-A data value 0.6 standard deviations above the mean. 
A) $z = 0.06$; percentile $= 51.99$
B) $\mathrm { z } = 0.6$; percentile $= 72.57$
C) $\mathrm { z } = 0.6$; percentile $= 2.5$
D) $\mathrm { z } = - 0.6$; percentile $= 27.43$

Quizplus · Accepted Answer

The standard score (z-score) is a measure of how many standard deviations an element is from the mean. A data value 0.6 standard deviations above the mean has a z-score of 0.6. The percentile can be found using a z-table or a calculator, and a z-score of 0.6 corresponds to approximately the 72.57th percentile.

For the Given Data Value, Find the Standard Score and the Percentile