For the given data value, find the standard score and the percentile.
-A data value 2.5 standard deviations above the mean.
A) $\mathrm { z } = 2.5$; percentile $= 99.38$
B) $z = 2.5$; percentile $= 1.95$
C) $\mathrm { z } = - 2.5$; percentile $= 0.62$
D) $\mathrm { z } = 0.25$; percentile $= 59.87$

Question

For the given data value, find the standard score and the percentile.
-A data value 2.5 standard deviations above the mean. 
A) $\mathrm { z } = 2.5$; percentile $= 99.38$
B) $z = 2.5$; percentile $= 1.95$
C) $\mathrm { z } = - 2.5$; percentile $= 0.62$
D) $\mathrm { z } = 0.25$; percentile $= 59.87$

Quizplus · Accepted Answer

A standard score (z-score) of 2.5 indicates a value 2.5 standard deviations above the mean. The corresponding percentile, which represents the percentage of data below this value, is approximately 99.38% for a z-score of 2.5, according to standard normal distribution tables.

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