# Research and Statistics

posted by
**Lauren** on
.

I want to ensure I've done this problem correctly. Thanks!

3. In one elementary school, 200 students are tested on the subject of Math and English. The table below shows the mean and standard deviation for each subject.

Mean SD

Math 67 9.58

English 78 12.45

One studentâ€™s Math score was 70 and the same individualâ€™s English score was 84. On which exam did the student do better?

Work:

Math Score Z-Score = 0.313152

Math Score Percentile Rank = 62.2918th

English Score Z-Score = 0.481928

English Score Percentile Rank = 68.5072th

The student did better on the English test because they ranked in a higher percantile than the Math test (68.5072th percantile versus 62.2981th percantile).