The average of eight numbers is 14. The average of six of these numbers is 16. The average of the remaining two numbers is:
Question
The average of eight numbers is 14. The average of six of these numbers is 16. The average of the remaining two numbers is:
Solution
To find the average of the remaining two numbers, we first need to find the total sum of all eight numbers and the total sum of the six numbers.
-
The total sum of all eight numbers is 8 * 14 = 112 (since average = total sum/number of items)
-
The total sum of the six numbers is 6 * 16 = 96 (using the same formula)
-
To find the total sum of the remaining two numbers, subtract the total sum of the six numbers from the total sum of all eight numbers: 112 - 96 = 16
-
Finally, to find the average of the remaining two numbers, divide the total sum of the two numbers by 2 (since there are two numbers): 16 / 2 = 8
So, the average of the remaining two numbers is 8.
Similar Questions
The average of eight numbers is 104. The average of six of these numbers is 116. Then the greater number of the two numbers is:
The average of 5 numbers is 7. When 3 new numbers are added, the average of the eight numbers is 8.5. The average of three new numbers is:Options :117.758.57
The average of 9 numbers is 14. If each number is increased by 4, the new average will be
The average of six numbers is 48. If the average of first four is 28 and that of last three is 41, the fourth number is: Options :475149none of these
The average of first fourteen numbers in an order set of thirty numbers is 9 and average of last fourteen numbers in the set is 5.If the sixteen number is 7 and the average of the thirty number is?5678
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.