For the given data value, find the standard score and the percentile.
-A data value $1.8$ standard deviations below the mean.
A) $\mathrm { z } = 1.8$; percentile $= 96.41$
B) $\mathrm { z } = - 1.8$; percentile $= 96.41$
C) $z = - 1.8$; percentile $= 3.59$
D) $\mathrm { z } = - 0.18$; percentile $= 42.07$

Question

Quizplus · Accepted Answer

A standard score (z-score) indicates how many standard deviations an element is from the mean. A data value $1.8$ standard deviations below the mean has a z-score of $-1.8$. The corresponding percentile, which represents the percentage of data below this value, for a z-score of $-1.8$ is approximately $3.59$, indicating that $3.59\%$ of the data falls below this value.

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