Please explain how I set up and solve this problem:
For each of the populations would a score of x= 50 be considered a central score (near the middle of the distribution) or an extreme score (far out of the tail of the distribution ) is this set up x-u/o?

u=45 o= 10
u=45 o= 2
u= 90 o= 20
u= 60 o=20

If i have a problem that is a distribution with a mean of u=38 and a standard deviation of o=5 is transformed into a standardized distribution with u= 50 and o= 10. Now i need to find the new standardized score for each value from the original population. I have no clue how to set this up and solve it. Please explain in steps if possible.

original x= 39 transformed x=____
original x= 43 transformed x=____
original x= 35 transformed x=____
original x= 28 transformed x=____.

Solution Preview

1. An extreme score happens when z value is above 2 or below -2.
So if x=50, z=(50-45)/10=0.5 (central score)
if x=50, z=(45-45)/2=0 ...

Solution Summary

The solution gives detailed steps on determining central score and extreme score and transforming between two normal random variables. All steps are shown with brief explanations.

Z-Scores and Standard Deviation. ... 3 and 7 for both variables (these scores correspond to ... satisfied to somewhat dissatisfied and exclude the extreme ratings of ...

... the probability of getting a certain z-score value equal to ... the one that is observed (ie, more extreme in the ... of the distribution of all possible z-scores in a ...

... The extreme values can be identified using the Z scores and probability. An Z score below -3 have only a very rare probability P(Z<-3) = 0.0013 and Z score...

Exercises with Z-Scores and Percentiles. ... 0.08 (-0.08 = 93.62 (46.81+ 46.81) (above) 6.38 (3.19 + 3.19) (below), 0.08 (at least as extreme as this z score). ...

... I computed the standard deviation ( 2923.96) and z-scores (how many standard deviations ... The median is not impacted by extreme scoresit just orders the data ...

... value) that corresponds to each of the following z scores: z = -1.00 ... a) For a sample of n = 4 scores, would a ... mean of M = 55 be considered an extreme value or ...

... The shaded area represents the most extreme (positive) z-scores in the distribution, and in area, represents 5% of the total area under the curve. ...

... In addition, when it comes to the extremes, the curve ... To obtain the Z score, we first subtracted the data ... standard curve by converting them into the Z scores. ...

... Formula for the calculation and Interpretations of the results are also ... 2 14.25 2 5.37 2 6.25 2 9.71 2 z scores. ... low extremes 0 0 low outliers 0 0 high outliers ...