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What is the average of all even numbers between 1 and 50?
- a)21
- b)22
- c)23
- d)25
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
What is the average of all even numbers between 1 and 50?a)21b)22c)23d...
All even numbers between 1 and 50 = 2 to 48
Hence, Option D is correct.
Hence, Option D is correct.
Most Upvoted Answer
What is the average of all even numbers between 1 and 50?a)21b)22c)23d...
Understanding the Problem
To find the average of all even numbers between 1 and 50, we first need to identify the even numbers in this range.
Identifying Even Numbers
- The even numbers between 1 and 50 are:
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50.
Counting the Even Numbers
- There are a total of 25 even numbers in this range, as they are all the multiples of 2 from 2 to 50.
Calculating the Sum
- To find the average, we first calculate the sum of these even numbers:
- The sum can be calculated using the formula for the sum of an arithmetic series:
- Sum = n/2 × (first term + last term)
- Here, n = 25, first term = 2, and last term = 50.
- So, the sum = 25/2 × (2 + 50) = 25/2 × 52 = 25 × 26 = 650.
Finding the Average
- Now, we find the average by dividing the total sum by the number of even numbers:
- Average = Total Sum / Number of Even Numbers
- Average = 650 / 25 = 26.
Conclusion
- The correct option based on the average calculated is D) 26.
- However, if the options provided in the original question were incorrect, the average is indeed 26, not 25.
Make sure to verify the options next time!
To find the average of all even numbers between 1 and 50, we first need to identify the even numbers in this range.
Identifying Even Numbers
- The even numbers between 1 and 50 are:
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50.
Counting the Even Numbers
- There are a total of 25 even numbers in this range, as they are all the multiples of 2 from 2 to 50.
Calculating the Sum
- To find the average, we first calculate the sum of these even numbers:
- The sum can be calculated using the formula for the sum of an arithmetic series:
- Sum = n/2 × (first term + last term)
- Here, n = 25, first term = 2, and last term = 50.
- So, the sum = 25/2 × (2 + 50) = 25/2 × 52 = 25 × 26 = 650.
Finding the Average
- Now, we find the average by dividing the total sum by the number of even numbers:
- Average = Total Sum / Number of Even Numbers
- Average = 650 / 25 = 26.
Conclusion
- The correct option based on the average calculated is D) 26.
- However, if the options provided in the original question were incorrect, the average is indeed 26, not 25.
Make sure to verify the options next time!
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What is the average of all even numbers between 1 and 50?a)21b)22c)23d)25Correct answer is option 'D'. Can you explain this answer? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about What is the average of all even numbers between 1 and 50?a)21b)22c)23d)25Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the average of all even numbers between 1 and 50?a)21b)22c)23d)25Correct answer is option 'D'. Can you explain this answer?.
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