In a class of 30 students, the average age is 15 years. If 5 new students aged 1

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Question: In a class of 30 students, the average age is 15 years. If 5 new students aged 16 years join, what will be the new average age?

Options:

Correct Answer: 15.8

Solution:

Total age of 30 students = 30 * 15 = 450. Total age of 5 new students = 5 * 16 = 80. New total age = 450 + 80 = 530. New average = 530 / 35 = 15.14.

In a class of 30 students, the average age is 15 years. If 5 new students aged 16 years join, what will be the new average age?

In a class of 30 students, the average age is 15 years. If 5 new students aged 16 years join, what will be the new average age?

Step 1: Calculate the total age of the 30 students. Multiply the average age (15 years) by the number of students (30). This gives you 30 * 15 = 450.
Step 2: Calculate the total age of the 5 new students. Multiply their age (16 years) by the number of new students (5). This gives you 5 * 16 = 80.
Step 3: Add the total age of the original 30 students (450) to the total age of the new students (80). This gives you 450 + 80 = 530.
Step 4: Calculate the new total number of students. Add the original number of students (30) to the number of new students (5). This gives you 30 + 5 = 35.
Step 5: Calculate the new average age. Divide the new total age (530) by the new total number of students (35). This gives you 530 / 35 = 15.14.

Average Calculation – Understanding how to calculate the average by summing total values and dividing by the number of items.
Impact of New Data on Averages – Recognizing how adding new data points affects the overall average.