Consider the following information regarding the performance of a class of 1000 students in four different tests: Test I II III IV Average marks 60 60 70 80 Range of marks 30 to 90 45 to 75 20 to 100 0 to 100 If a student scores 74 marks in each of the four tests, in which one of the following tests is her performance the best comparatively?

Q 37 / 46

UPSC CSE Prelims 2012

Consider the following information regarding the performance of a class of 1000 students in four different tests:

Test	I	II	III	IV
Average marks	60	60	70	80
Range of marks	30 to 90	45 to 75	20 to 100	0 to 100

If a student scores 74 marks in each of the four tests, in which one of the following tests is her performance the best comparatively?

EXPLANATION

Correct Option (B)

In Test II, the range of marks is45to75, and the student scored74. This score isexceptionally close to the maximum possible markof75within this test's distribution. This indicates asignificantly high percentile performancerelative to other students in Test II, making it the best comparative performance among the four tests.

Incorrect Options

In Test I, the average marks are 60 with a range of 30 to 90. A score of 74, while above average, is not near the upper limit of the range, suggesting that a substantial number of students could have scored higher.

In Test III, the average marks are 70 with a range of 20 to 100. A score of 74 is only marginally above the average. Given the wide range, this score does not represent an outstanding performance comparatively.

In Test IV, the average marks are 80 with a range of 0 to 100. A score of 74 is below the average mark of 80. Scoring below the class average indicates a comparatively weaker performance in this test.