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The average of 25 numbers is 64. The averages of the first 13 numbers and that of the last 13 numbers are 62.8 and 72.2, respectively. If the 12th number is 61, and if the 12th and 13th numbers are excluded, then what is the average of the remaining numbers (correct to one decimal place)?
- a)59.2
- b)62.2
- c)60.2
- d)61.5
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
The average of25numbers is64. The averages of the first13numbers and t...
Given information:
- Average of 25 numbers = 64
- Average of first 13 numbers = 62.8
- Average of last 13 numbers = 72.2
- 12th number = 61
Calculating the sum of all 25 numbers:
- Sum of 25 numbers = Average * Total numbers
- Sum of 25 numbers = 64 * 25
- Sum of 25 numbers = 1600
Finding the sum of the first 13 numbers:
- Sum of first 13 numbers = Average * Number of numbers
- Sum of first 13 numbers = 62.8 * 13
- Sum of first 13 numbers = 814.4
Finding the sum of the last 13 numbers:
- Sum of last 13 numbers = Average * Number of numbers
- Sum of last 13 numbers = 72.2 * 13
- Sum of last 13 numbers = 939.6
Calculating the sum of the remaining numbers:
- Sum of remaining numbers = Sum of all numbers - (Sum of first 13 numbers + Sum of last 13 numbers - 12th number - 13th number)
- Sum of remaining numbers = 1600 - (814.4 + 939.6 - 61 - 0)
- Sum of remaining numbers = 1600 - 1693
Calculating the average of the remaining numbers:
- Average of remaining numbers = Sum of remaining numbers / Number of remaining numbers
- Average of remaining numbers = 7.7 / 13
- Average of remaining numbers ≈ 59.2
Therefore, the average of the remaining numbers is approximately 59.2, which corresponds to option C.
- Average of 25 numbers = 64
- Average of first 13 numbers = 62.8
- Average of last 13 numbers = 72.2
- 12th number = 61
Calculating the sum of all 25 numbers:
- Sum of 25 numbers = Average * Total numbers
- Sum of 25 numbers = 64 * 25
- Sum of 25 numbers = 1600
Finding the sum of the first 13 numbers:
- Sum of first 13 numbers = Average * Number of numbers
- Sum of first 13 numbers = 62.8 * 13
- Sum of first 13 numbers = 814.4
Finding the sum of the last 13 numbers:
- Sum of last 13 numbers = Average * Number of numbers
- Sum of last 13 numbers = 72.2 * 13
- Sum of last 13 numbers = 939.6
Calculating the sum of the remaining numbers:
- Sum of remaining numbers = Sum of all numbers - (Sum of first 13 numbers + Sum of last 13 numbers - 12th number - 13th number)
- Sum of remaining numbers = 1600 - (814.4 + 939.6 - 61 - 0)
- Sum of remaining numbers = 1600 - 1693
Calculating the average of the remaining numbers:
- Average of remaining numbers = Sum of remaining numbers / Number of remaining numbers
- Average of remaining numbers = 7.7 / 13
- Average of remaining numbers ≈ 59.2
Therefore, the average of the remaining numbers is approximately 59.2, which corresponds to option C.
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Community Answer
The average of25numbers is64. The averages of the first13numbers and t...
Given:
The average of twenty-five numbers is 64
The averages of the first 13 numbers = 62.8
The averages of the last 13 numbers = 72.2
As we know,
Average = sum of the observation/Number of the observation
Sum of the 25 numbers = 64×25 = 1600
Sum of the first 13 numbers = 13×62.8 = 816.4
Sum of the last 13 numbers = 13×72.2 = 938.6
So,13th number = (Sum of the first 13 numbers + Sum of the last 13 numbers) - (Sum of the 25 numbers)
= (816.4+938.6)−(1600)
⇒ 1755−1600 =155
According to the question,
Sum of the 23 numbers =(1600−155−61) = 1384
Average of the 23 numbers =1384/23
= 60.17 ≈ 60.2
∴ The average of the remaining numbers is 60.2.
The average of twenty-five numbers is 64
The averages of the first 13 numbers = 62.8
The averages of the last 13 numbers = 72.2
As we know,
Average = sum of the observation/Number of the observation
Sum of the 25 numbers = 64×25 = 1600
Sum of the first 13 numbers = 13×62.8 = 816.4
Sum of the last 13 numbers = 13×72.2 = 938.6
So,13th number = (Sum of the first 13 numbers + Sum of the last 13 numbers) - (Sum of the 25 numbers)
= (816.4+938.6)−(1600)
⇒ 1755−1600 =155
According to the question,
Sum of the 23 numbers =(1600−155−61) = 1384
Average of the 23 numbers =1384/23
= 60.17 ≈ 60.2
∴ The average of the remaining numbers is 60.2.
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The average of25numbers is64. The averages of the first13numbers and that of the last13numbers are62.8and72.2, respectively. If the12thnumber is61, and if the12thand13thnumbers are excluded, then what is the average of the remaining numbers (correct to one decimal place)?a)59.2b)62.2c)60.2d)61.5Correct answer is option 'C'. Can you explain this answer?
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The average of25numbers is64. The averages of the first13numbers and that of the last13numbers are62.8and72.2, respectively. If the12thnumber is61, and if the12thand13thnumbers are excluded, then what is the average of the remaining numbers (correct to one decimal place)?a)59.2b)62.2c)60.2d)61.5Correct answer is option 'C'. Can you explain this answer? for RRB NTPC/ASM/CA/TA 2024 is part of RRB NTPC/ASM/CA/TA preparation. The Question and answers have been prepared according to the RRB NTPC/ASM/CA/TA exam syllabus. Information about The average of25numbers is64. The averages of the first13numbers and that of the last13numbers are62.8and72.2, respectively. If the12thnumber is61, and if the12thand13thnumbers are excluded, then what is the average of the remaining numbers (correct to one decimal place)?a)59.2b)62.2c)60.2d)61.5Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for RRB NTPC/ASM/CA/TA 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average of25numbers is64. The averages of the first13numbers and that of the last13numbers are62.8and72.2, respectively. If the12thnumber is61, and if the12thand13thnumbers are excluded, then what is the average of the remaining numbers (correct to one decimal place)?a)59.2b)62.2c)60.2d)61.5Correct answer is option 'C'. Can you explain this answer?.
The average of25numbers is64. The averages of the first13numbers and that of the last13numbers are62.8and72.2, respectively. If the12thnumber is61, and if the12thand13thnumbers are excluded, then what is the average of the remaining numbers (correct to one decimal place)?a)59.2b)62.2c)60.2d)61.5Correct answer is option 'C'. Can you explain this answer? for RRB NTPC/ASM/CA/TA 2024 is part of RRB NTPC/ASM/CA/TA preparation. The Question and answers have been prepared according to the RRB NTPC/ASM/CA/TA exam syllabus. Information about The average of25numbers is64. The averages of the first13numbers and that of the last13numbers are62.8and72.2, respectively. If the12thnumber is61, and if the12thand13thnumbers are excluded, then what is the average of the remaining numbers (correct to one decimal place)?a)59.2b)62.2c)60.2d)61.5Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for RRB NTPC/ASM/CA/TA 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average of25numbers is64. The averages of the first13numbers and that of the last13numbers are62.8and72.2, respectively. If the12thnumber is61, and if the12thand13thnumbers are excluded, then what is the average of the remaining numbers (correct to one decimal place)?a)59.2b)62.2c)60.2d)61.5Correct answer is option 'C'. Can you explain this answer?.
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