Question

Following are the marks out of 15 awarded by two judges in an audition for a singing competition to 20 contestants. Determine which judge is more lenient based on the marks.

a) Judge I
b) Judge II
c) Both judges are equally lenient
d) Insufficient information to determine

Answer 1

To determine which judge is more lenient based on the marks, calculate the average marks awarded by each judge and compare the averages.

Step-by-step explanation:

To determine which judge is more lenient, we need to compare the marks awarded by Judge I and Judge II. Let's calculate the average marks awarded by each judge:

Judge I's average marks = (Sum of Judge I's marks) / (Number of contestants)

Judge II's average marks = (Sum of Judge II's marks) / (Number of contestants)

After calculating the average marks, we can compare the two averages to determine which judge is more lenient. If the average marks awarded by Judge I are higher than the average marks awarded by Judge II, then Judge I is more lenient. If the average marks awarded by Judge II are higher, then Judge II is more lenient. If the average marks are the same, both judges are equally lenient.

Based on the information given, we can calculate the average marks and compare them to determine the answer.