Posted by Ally on .
For a normally distributed distribution of variable x, where the mean is 50, and standard deviation is 2.5, calculate: a) the percentile rank of x=45 b) the zscore of x=52.6 c) the percentile rank of x=58 d) the 29.12th percentile e) the 89.74th percentile f) the zscore of x=45 g) the percentile rank of x=49

Math 
PsyDAG,
Z = (x  μ)/SD, where μ = mean.
Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the percentile ranks relates to the Z scores. 
Math 
Rashdan,
a. 0.5000  0.4772 = 0.0228, 2.28%, 2.28th percentile
b. Ƶ = 1.04 = 0.3508
c. 0.5000 + 0.4993 = 0.9993, 99.93%, 99.93rd percentile
d.
e.
f.
g. 0.5000 – 0.1554 =0.3446, 34.46%, 34.46th percentile 
Math 
Mie,
a. 0.5000  0.4772 = 0.0228, 2.28%, 2.28th percentile
b. Ƶ = 1.04 = 0.3508
c. 0.5000 + 0.4993 = 0.9993, 99.93%, 99.93rd percentile
d.
e.
f.
g. 0.5000 – 0.1554 =0.3446, 34.46%, 34.46th percentile