Question

3.4 Assess Your Understanding

Applying the Concepts

20. Ogives and Percentiles The following graph is an ogive of the mathematics scores on the SAT. The vertical axis in an o is the cumulative relative frequency and can also be interpreted as a percentile. give SAT Mathematics Scores 0.8 0.6 0.4 0.2 0 100 200 300 400 500 600 700 800 900 Score (a) Find and interpret the percentile rank of a student who scored 450 on the SAT mathematics exam. (b) Find and interpret the percentile rank of a student who scored 750 on the SAT mathematics exam. (c) If Jane scored at the 44th percentile, what was her score?

Answer 1

Please don't hesitate to give a "thumbs up " for the answer, in case you're satisfied with it.

a.

At 450, we see the curve rise to 30 percentile. It means that if you have a score of 450 then you
have 30 percentage of total students who had a score worse than you. Or in other words, you did better
than 30% of students

b.
At 750, we see the curve rise to 97.5 percentile. It means that if you have a score of 750 then you
have 97.5 percentage of total students who had a score worse than you. Or in other words, you did better
than 97.5% of students

c.

See the line, the 44th percentile lies on the number 500 on the x-axis. So, at 44th percentile Jane has scored a 500 on the examinations.