statistics
posted by Laynette .
set of data is normally distributed with a mean of 200 and standard deviation of 50.
· What would be the standard score for a score of 300?
· What percentage of scores is between 200 and 300?
· What would be the percentile rank for a score of 300?
(Points : 6)

1) 300 is two deviations of 50 away from 200, so the standard score is 2.
2) You need to look at a normal distribution for this. A quick google search should help you just fine. Or, possibly, you were provided one in class.
From such a table, you can see that being two deviations away from the middle amounts to 34.13% + 13.59% = 47.72%
3) You just take 47.72% 9which is the distance from the middle to 300) and add 50% (which is everyone below the middle). You get 97.72% 
1. Z (a standard score) = (scoremean/SD)
Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportions related to the Z scores.
Percentile rank is the proportion below or equal to a particular score.
Respond to this Question
Similar Questions

statisticsnormal distribution
a set of data is normally distributed with a mean of 500 and a standard deviation of 100. a) what would the standard score fora score of 700 be? 
college statistics
a set of data is normally distributed with a mean of 1000 and a standard deviation of 100.what would be standard score for a score of 900.what percent of scores is betyween 1000 and 900.what would be percentile rank for a score of … 
stats
A set of data is normally distributed with a mean of 200 and standard deviation of 50. • What would be the standard score for a score of 250? 
statistics
The Graduate Record Exam (GRE) has a combined verbal and quantitative mean of 1000 and a standard deviation of 200. Scores range from 200 to 1600 and are approximately normally distributed. What percentage score above 1300? 
Statistics
The Graduate Record Examination (GRE) has a combined verbal and quantitative mean of 1000 and a standard deviation of 200. Scores range from 200 to 1600 and are approximately normally distributed. For each of the following problems: … 
statistics
The Graduate Record Exam (GRE) has a combined verbal and quantitative mean of 1000 and a standard deviation of 200. Scores range from 200 to 1600 and are approximately normally distributed. Which portion of the bell curve relates to … 
Statistics
4. The Graduate Record Exam (GRE) has a combined verbal and quantitative mean of 1000 and a standard deviation of 200. Scores range from 200 to 1600 and are approximately normally distributed. For each of the following problems: (a) … 
Statistics
The Graduate Record Exam has a combined verbal and quantitative mean of 1000 and a standard deviation of 200. Scores range from 200 to 1600 and are approximately normally distributed. A. What percentage of the persons who take the … 
Statistics
4. The Graduate Record Exam (GRE) has a combined verbal and quantitative mean of 1000 and a standard deviation of 200. Scores range from 200 to 1600 and are approximately normally distributed. For each of the following problems: (a) … 
statistics
4. The Graduate Record Exam (GRE) has a combined verbal and quantitative mean of 1000 and a standard deviation of 200. Scores range from 200 to 1600 and are approximately normally distributed. For each of the following problems: (a) …