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Average of 100 numbers is 50. If the two numbers 60 and 80 are discarded, then find the average of the remaining numbers ?
- a)49.6
- b)69.6
- c)89.6
- d)126.6
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Average of 100 numbers is 50. If the two numbers 60 and 80 are discard...
As per the given data,
Average of 100 numbers = 50
⇒ (x1 + x2 + ….. + x100)/100 = 50
⇒ x1 + x2 + ….. + x100 = 5000
⇒ x1 + x2 + … + x98 = 5000 - 60 - 80
⇒ x1 + x2 + … + x98 = 4860
∴ sum of the 98 numbers = 4860
⇒ average of 98 numbers = 4860/98 = 49.6
Average of 100 numbers = 50
⇒ (x1 + x2 + ….. + x100)/100 = 50
⇒ x1 + x2 + ….. + x100 = 5000
⇒ x1 + x2 + … + x98 = 5000 - 60 - 80
⇒ x1 + x2 + … + x98 = 4860
∴ sum of the 98 numbers = 4860
⇒ average of 98 numbers = 4860/98 = 49.6
Most Upvoted Answer
Average of 100 numbers is 50. If the two numbers 60 and 80 are discard...
Given:
- Average of 100 numbers is 50.
- Two numbers, 60 and 80, are discarded.
To find:
- Average of the remaining numbers.
Solution:
1. Average is calculated by summing all the numbers and dividing by the count of numbers.
2. Let's find the sum of the 100 numbers. We can do this by multiplying the average (50) by the count of numbers (100).
- Sum = Average * Count = 50 * 100 = 5000.
3. Now we need to find the sum of the remaining 98 numbers after discarding 60 and 80.
4. We know that the sum of the 100 numbers is 5000. So, the sum of the remaining 98 numbers can be calculated by subtracting the sum of 60 and 80 from the total sum.
- Sum of remaining 98 numbers = Total sum - Sum of 60 and 80
= 5000 - (60 + 80) = 5000 - 140 = 4860.
5. Finally, we can find the average of the remaining 98 numbers by dividing the sum by the count of numbers (98).
- Average = Sum / Count = 4860 / 98 = 49.6.
Answer:
The average of the remaining numbers after discarding 60 and 80 is 49.6. Therefore, option A is correct.
- Average of 100 numbers is 50.
- Two numbers, 60 and 80, are discarded.
To find:
- Average of the remaining numbers.
Solution:
1. Average is calculated by summing all the numbers and dividing by the count of numbers.
2. Let's find the sum of the 100 numbers. We can do this by multiplying the average (50) by the count of numbers (100).
- Sum = Average * Count = 50 * 100 = 5000.
3. Now we need to find the sum of the remaining 98 numbers after discarding 60 and 80.
4. We know that the sum of the 100 numbers is 5000. So, the sum of the remaining 98 numbers can be calculated by subtracting the sum of 60 and 80 from the total sum.
- Sum of remaining 98 numbers = Total sum - Sum of 60 and 80
= 5000 - (60 + 80) = 5000 - 140 = 4860.
5. Finally, we can find the average of the remaining 98 numbers by dividing the sum by the count of numbers (98).
- Average = Sum / Count = 4860 / 98 = 49.6.
Answer:
The average of the remaining numbers after discarding 60 and 80 is 49.6. Therefore, option A is correct.
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Average of 100 numbers is 50. If the two numbers 60 and 80 are discarded, then find the average of the remaining numbers ?a)49.6b)69.6c)89.6d)126.6Correct answer is option 'A'. Can you explain this answer?
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Average of 100 numbers is 50. If the two numbers 60 and 80 are discarded, then find the average of the remaining numbers ?a)49.6b)69.6c)89.6d)126.6Correct answer is option 'A'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about Average of 100 numbers is 50. If the two numbers 60 and 80 are discarded, then find the average of the remaining numbers ?a)49.6b)69.6c)89.6d)126.6Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Average of 100 numbers is 50. If the two numbers 60 and 80 are discarded, then find the average of the remaining numbers ?a)49.6b)69.6c)89.6d)126.6Correct answer is option 'A'. Can you explain this answer?.
Average of 100 numbers is 50. If the two numbers 60 and 80 are discarded, then find the average of the remaining numbers ?a)49.6b)69.6c)89.6d)126.6Correct answer is option 'A'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about Average of 100 numbers is 50. If the two numbers 60 and 80 are discarded, then find the average of the remaining numbers ?a)49.6b)69.6c)89.6d)126.6Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Average of 100 numbers is 50. If the two numbers 60 and 80 are discarded, then find the average of the remaining numbers ?a)49.6b)69.6c)89.6d)126.6Correct answer is option 'A'. Can you explain this answer?.
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