Question

A set of data is normally distributed with a mean of 1000 and standard deviation of 100.
· What would be the standard score for a score of 1100?
· What percentage of scores is between 1000 and 1100?
· What would be the percentile rank for a score of 1100?





A. z(1100)= (1100-1000)/100= 100/100= 1
B. p(1100<=x<=1000) = (1<=z<=0) = 0.3486 { I am not certain on this part of the question}
C. If the last question is correct. It should be the 34th percentile.

Answer 1

1. Yes.

2. Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion between mean and Z = +1. (You we close.)

3. No, the percentile rank is the proportion of scores equal to or <I>below</I> a particular score. Notice that your score is above the mean.