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The average of 17 numbers is 7. If one number is excluded, the average becomes 4. What is the excluded number?
Correct answer is '55'. Can you explain this answer?
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Verified Answer
The average of 17 numbers is 7. If one number is excluded, the averag...
Let the excluded number be x.
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Average of 17 number = 7
∴ Sum of 17 number = 17 × 7 = 119
According to the question,
⇒ 119 − x = (17 − 1) × 4
⇒ 119 − x = 64
⇒ x = 55
∴ The excluded number = 55
Hence, the correct answer is 55.
Most Upvoted Answer
The average of 17 numbers is 7. If one number is excluded, the averag...
Given Information:
- Average of 17 numbers = 7
- Average of 16 numbers (excluding one number) = 4
Calculating the sum of 17 numbers:
- Sum of 17 numbers = Average * Number of numbers = 7 * 17 = 119
Calculating the sum of 16 numbers:
- Sum of 16 numbers = Average * Number of numbers = 4 * 16 = 64
Finding the excluded number:
- Excluded number = Sum of 17 numbers - Sum of 16 numbers = 119 - 64 = 55
Therefore, the excluded number is 55.
By excluding the number 55, the average of the remaining 16 numbers becomes 4, as the total sum decreases by 55. This calculation ensures that the average of the 17 numbers is 7 and the average of the 16 numbers (excluding one number) is 4.
- Average of 17 numbers = 7
- Average of 16 numbers (excluding one number) = 4
Calculating the sum of 17 numbers:
- Sum of 17 numbers = Average * Number of numbers = 7 * 17 = 119
Calculating the sum of 16 numbers:
- Sum of 16 numbers = Average * Number of numbers = 4 * 16 = 64
Finding the excluded number:
- Excluded number = Sum of 17 numbers - Sum of 16 numbers = 119 - 64 = 55
Therefore, the excluded number is 55.
By excluding the number 55, the average of the remaining 16 numbers becomes 4, as the total sum decreases by 55. This calculation ensures that the average of the 17 numbers is 7 and the average of the 16 numbers (excluding one number) is 4.
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The average of 17 numbers is 7. If one number is excluded, the average becomes 4. What is the excluded number?Correct answer is '55'. Can you explain this answer?
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