Question
Download Solution PDFThe average age of 30 students is 15 years. It was observed that while calculating the average age. the age of a student was taken as 15 years instead of 9 years. What will be the correct average age?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Number of students = 30
Average age (incorrectly calculated) = 15 years
Age of one student was incorrectly taken as 15 years instead of the actual age of 9 years.
Formula:
Correct Average Age = (Sum of all ages of students - incorrect age + correct age) / Number of students
Solution:
Sum of all ages of 30 students = 30 x 15 = 450
Incorrectly added age = 15
Correct age = 9
Therefore, the correct sum of all ages = 450 - 15 + 9 = 444
Correct Average Age = 444 / 30 = 14.8 years (approx)
Hence, the correct average age of the 30 students is 14.8 years.
Last updated on Jun 23, 2025
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