Evie earned a mark of 52.5/90 on a quiz. Of the 58 students who wrote the quiz, 3 got the same mark as Evie, and 2 scored higher than Evie did.
a) What is Evie's percentile rank?
b) What was Evie's percentage on the test?
c) What do Evie's percentile rank and percentage on the quiz tell you about the quiz?
a) To find Evie's percentile rank, we first need to calculate how many students scored lower than her. There were 58 students in total, and 3 got the same mark as Evie and 2 scored higher. Therefore, 58 - 3 - 2 = 53 students scored lower than Evie.
Evie's percentile rank = (53/58) x 100 = 91.4%. So, Evie's percentile rank is 91.4%.
b) Evie's percentage on the quiz can be calculated by dividing her mark by the total possible marks and then multiplying by 100.
Evie's percentage = (52.5/90) x 100 = 58.3%. So, Evie scored 58.3% on the quiz.
c) Evie's percentile rank tells us that she performed better than 91.4% of the students who wrote the quiz. Her percentage on the quiz tells us that she scored 58.3% of the total possible marks. This indicates that the quiz was challenging, as most students scored lower than 58.3% and only a small number scored above that.