Question

In the 2014 - 2015 school year, the mean score on the critical reading of the SAT was 490 with a standard deviation of 102 for juniors. If Dennis scores a 694 on the SAT, what is
his percentile ranking?
A. 13.5%
B. 97.5%
C. 95%
D. 2.5%

Answer 1

Answer:

The Ranking Percentile is (B) 97.5%

Explanation :

To find the percentile rank we need to find the z- score. After finding the z-score match this value with the corresponding value in z-score table.

Formula to find the z-score

Z-score=$\frac{\text { scored obtained - mean }(\mu)}{\text { standard deviation }(\sigma)}$

Substituting the values in the above equation, we find

Z-score= $\frac{(694-490)}{102}$=2

So, the Z-score is +2

Now, the corresponding value of Z-score 2 in the table is 0.9772

or the percentile score is 97.72 ~ 97.5 .