SAT scores are normally distributed, with a mean of 500 points and a standard deviation of 100 points. Suppose you take the SAT.

Question

3 years ago

12

SAT scores are normally distributed, with a mean of 500 points and a standard deviation of 100 points. Suppose you take the SAT.

Several weeks later, you receive your results, which show that you reached the 95th percentile for the math portion. Recalling that SAT scores are always expressed as multiples of 10, how many points did you get on the test?
A. 165
B. 590
C. 690
D. 630
E. 670

Mathematics

2 answers:

il63 [147K] · Answer 1 · 2021-11-15T02:35:17+03:00

il63 [147K]3 years ago

7 0

The answer is E) 670

EastWind [94] · Answer 2 · 2021-11-15T03:47:41+03:00

Answer:

OPtion E 670

Step-by-step explanation:

Given that

SAT scores are normally distributed, with a mean of 500 points and a standard deviation of 100 points. Suppose you take the SAT. Several weeks later, you receive your results, which show that you reached the 95th percentile for the math portion.

This implies below you there are 95% students z score for area 0.95 to the left is 1.645

X score = Mean+1.645 (std deviation)

= 500+164.5

=664.5

Hence rounding off will give 670 as your score