The average of five numbers is 18. If one number is excluded, the average become
Practice Questions
Q1
The average of five numbers is 18. If one number is excluded, the average becomes 16. What is the excluded number?
20
22
24
26
Questions & Step-by-Step Solutions
The average of five numbers is 18. If one number is excluded, the average becomes 16. What is the excluded number?
Correct Answer: 26
Step 1: Understand that the average of five numbers is 18. This means if you add all five numbers together and divide by 5, you get 18.
Step 2: To find the total sum of the five numbers, multiply the average (18) by the number of numbers (5). So, 5 * 18 = 90.
Step 3: Now, when one number is excluded, the average of the remaining four numbers becomes 16. This means if you add those four numbers together and divide by 4, you get 16.
Step 4: To find the total sum of the four numbers, multiply the new average (16) by the number of numbers (4). So, 4 * 16 = 64.
Step 5: The excluded number is the difference between the total sum of the five numbers and the total sum of the four numbers. So, 90 - 64 = 26.
