Question : The average of six numbers is 20. If one number is removed, the average becomes 15, what is the number removed?
Option 1: 5
Option 2: 35
Option 3: 112
Option 4: 45
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Correct Answer: 45
Solution : Given: The average of 6 numbers is 20. If one number is removed, the new average is 15. By using the formula, The sum of observations = average of observations × total number of observations ⇒ Sum of 6 numbers = 20 × 6 = 120 After removing one number, Sum of 5 numbers = 15 × 5 = 75 So, removed number = 120 – 75 = 45 Hence, the correct answer is 45.
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Question : The average of 8 numbers is 18. If one of the numbers is excluded, the average becomes 20. Find the excluded number.
Question : The average of 20 numbers is calculated as 35. It is discovered later on that while calculating the average, one number, 85, was misread as 45. The correct average is:
Question : The average of 15 numbers is 7. If the average of the first 8 numbers is 6.5 and the average of the last 8 numbers is 8.5, then the middle number is:
Question : The average of two numbers is 8, and the average of the other three numbers is 3. The average of the five numbers is:
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