Question 1191023
z=(x-mean)/sd
0.51 or 51st percentile is z=0.025
z*sd=0.025*194=4.85=x-mean
the score x for SAT is therefore 1048.85=1049
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The ACT score is about 1/50 th of the SAT score, so the ACT score is going to change about 0.1
z=0.025
z*sd=0.11
the ACT score will be 21.01 or 21.0
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z=(1451-1044)/194=2.098
for ACT, z*sd=9.23 or 9.2
The ACT score will be 30.1