The average of 7 numbers is 14. If one number is added which is 10 more than the

₹0.0

Question: The average of 7 numbers is 14. If one number is added which is 10 more than the average, what will be the new average?

Options:

Correct Answer: 16

Solution:

New total = 7 * 14 + (14 + 10) = 98 + 24 = 122. New average = 122 / 8 = 15.25.

The average of 7 numbers is 14. If one number is added which is 10 more than the average, what will be the new average?

The average of 7 numbers is 14. If one number is added which is 10 more than the average, what will be the new average?

Step 1: Calculate the total of the 7 numbers using the average. Since the average is 14, multiply 14 by 7. This gives you 7 * 14 = 98.
Step 2: Determine the new number that will be added. The new number is 10 more than the average, which is 14 + 10 = 24.
Step 3: Add the new number to the total from Step 1. So, 98 (total of the 7 numbers) + 24 (new number) = 122.
Step 4: Calculate the new average. Now there are 8 numbers (the original 7 plus the new one). Divide the new total (122) by 8. So, 122 / 8 = 15.25.

Average Calculation – Understanding how to calculate the average of a set of numbers and how adding a new number affects the average.
Basic Arithmetic – Performing addition and division correctly to find the new total and average.