The answer is 52
76 students ranked higher, 320 lower, and 4 equal.
0.95 x 400 = 380That's the first step. So she's ranked #380. How many BELOW her.... the answer is 379.
MAT scores are normally distributed with a mean of 400 and a standard deviation of 25. z = (468-400)/25 = 2.72 Pr { N <= 2.72 } ~= 0.9967 IOW, percentile is about 99.67.
The Miller Analogies Test scores have a mean of 400 and a standard deviation of 25, and are approximately normally distributed.z = ( 351.5 - 400 ) / 25 = -1.94That's about the 2.6 percentile.(Used wolframalpha.com with input Pr [x < -1.94] with x normally distributed with mean 0 and standard deviation 1.)
Miller Analogies Test mean and standard deviation: 400 and 25 respectively. z = (449-400)/25=1.95 Pr { z<1.96 } ~= 0.975 IOW, percentile of 97.5.
76 students ranked higher, 320 lower, and 4 equal.
0.95 x 400 = 380That's the first step. So she's ranked #380. How many BELOW her.... the answer is 379.
This information tells us that (248/x) = (62/100) , by the definition of percentage. Thus x = 248*(100/62) = 400 so there are 400 students in the class.
Bethel College's 2014 25th-75th percentile SAT Writing Scores are 400-530, meaning 25% of students scored 400 or lower on the Writing portion of the SAT, and 75% of students scored 530 or lower (i.e. 25% of students scored 530 or higher).
Centenary College's 2014 25th-75th percentile SAT Math Scores are 400-490, meaning 25% of students scored 400 or lower on the Math portion of the SAT, and 75% of students scored 490 or lower (i.e. 25% of students scored 490 or higher).
Fisk University's 2014 25th-75th percentile SAT Math Scores are 400-570, meaning 25% of students scored 400 or lower on the Math portion of the SAT, and 75% of students scored 570 or lower (i.e. 25% of students scored 570 or higher).
Fisk University's 2014 25th-75th percentile SAT Writing Scores are 400-570, meaning 25% of students scored 400 or lower on the Writing portion of the SAT, and 75% of students scored 570 or lower (i.e. 25% of students scored 570 or higher).
Friends University's 2014 25th-75th percentile SAT Math Scores are 400-510, meaning 25% of students scored 400 or lower on the Math portion of the SAT, and 75% of students scored 510 or lower (i.e. 25% of students scored 510 or higher).
Husson University's 2014 25th-75th percentile SAT Writing Scores are 400-510, meaning 25% of students scored 400 or lower on the Writing portion of the SAT, and 75% of students scored 510 or lower (i.e. 25% of students scored 510 or higher).
Rider University's 2014 25th-75th percentile SAT Math Scores are 400-520, meaning 25% of students scored 400 or lower on the Math portion of the SAT, and 75% of students scored 520 or lower (i.e. 25% of students scored 520 or higher).
Rivier College's 2014 25th-75th percentile SAT Math Scores are 400-520, meaning 25% of students scored 400 or lower on the Math portion of the SAT, and 75% of students scored 520 or lower (i.e. 25% of students scored 520 or higher).
Southern University's 2014 25th-75th percentile SAT Math Scores are 400-490, meaning 25% of students scored 400 or lower on the Math portion of the SAT, and 75% of students scored 490 or lower (i.e. 25% of students scored 490 or higher).