the scores on the accuplacer test and High School GPAs are normally distributed. The Accuplacer test...
the scores on the accuplacer test and High School GPAs are normally distributed. The Accuplacer test had a mean of 40 and a standard deviation of 10. High School GPAs had a mean of 2.5 and a standard deviation of 0.1. What high school GPA do you need to equal a score of 44 on the Accuplacer test? Give answer to two decimal places
Homework Answers
Standardised score (z score) can be used to find an equivalent High School GPA score corresponding to the given Accuplacer test score.
z = (x - mean)/standard deviation
For Accuplacer test, mean = 40
Standard deviation = 10
When x = 44
z = (44 - 40)/10 = 0.4
This z score would be same for equivalent High School GPA
For High School GPA, mean = 2.5
Standard deviation = 0.1
0.4 = (x - 2.5)/0.1
x = 2.54
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