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The average height of 15 students is calculated as 75. But later it was found that the height of 1 student wrongly entered as 35 instead of 38 and another as 46 instead of 63.The correct average is
- a)71
- b)73
- c)75
- d)76
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The average height of 15 students is calculated as 75. But later it wa...
{(15*75)-(35+46)+(38+63)} / 15 = (1125 – 81 + 101) / 15
= 1145/15 = 76.33 = 76
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The average height of 15 students is calculated as 75. But later it wa...
Given:
- Average height of 15 students is calculated as 75.
- One student's height was wrongly entered as 35 instead of 38.
- Another student's height was wrongly entered as 46 instead of 63.
To find:
The correct average height.
Solution:
Step 1: Calculate the sum of the heights before correction:
- The average height of 15 students is calculated as 75. Therefore, the sum of the heights before correction is 15 * 75 = 1125.
Step 2: Find the difference between the incorrect and correct heights:
- For the first student, the height was wrongly entered as 35 instead of 38. So, the difference is 38 - 35 = 3.
- For the second student, the height was wrongly entered as 46 instead of 63. So, the difference is 63 - 46 = 17.
Step 3: Adjust the sum of heights by adding the differences:
- Subtract the difference of the first student's height from the sum: 1125 - 3 = 1122.
- Subtract the difference of the second student's height from the sum: 1122 - 17 = 1105.
Step 4: Calculate the correct average height:
- Divide the adjusted sum by the total number of students (15): 1105 / 15 = 73.67 (rounded to 2 decimal places).
Conclusion:
The correct average height of the 15 students is 73.67, which is closest to option 'D' (76).
- Average height of 15 students is calculated as 75.
- One student's height was wrongly entered as 35 instead of 38.
- Another student's height was wrongly entered as 46 instead of 63.
To find:
The correct average height.
Solution:
Step 1: Calculate the sum of the heights before correction:
- The average height of 15 students is calculated as 75. Therefore, the sum of the heights before correction is 15 * 75 = 1125.
Step 2: Find the difference between the incorrect and correct heights:
- For the first student, the height was wrongly entered as 35 instead of 38. So, the difference is 38 - 35 = 3.
- For the second student, the height was wrongly entered as 46 instead of 63. So, the difference is 63 - 46 = 17.
Step 3: Adjust the sum of heights by adding the differences:
- Subtract the difference of the first student's height from the sum: 1125 - 3 = 1122.
- Subtract the difference of the second student's height from the sum: 1122 - 17 = 1105.
Step 4: Calculate the correct average height:
- Divide the adjusted sum by the total number of students (15): 1105 / 15 = 73.67 (rounded to 2 decimal places).
Conclusion:
The correct average height of the 15 students is 73.67, which is closest to option 'D' (76).
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The average height of 15 students is calculated as 75. But later it was found that the height of 1 student wrongly entered as 35 instead of 38 and another as 46 instead of 63.The correct average isa)71b)73c)75d)76Correct answer is option 'D'. Can you explain this answer?
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The average height of 15 students is calculated as 75. But later it was found that the height of 1 student wrongly entered as 35 instead of 38 and another as 46 instead of 63.The correct average isa)71b)73c)75d)76Correct answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The average height of 15 students is calculated as 75. But later it was found that the height of 1 student wrongly entered as 35 instead of 38 and another as 46 instead of 63.The correct average isa)71b)73c)75d)76Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average height of 15 students is calculated as 75. But later it was found that the height of 1 student wrongly entered as 35 instead of 38 and another as 46 instead of 63.The correct average isa)71b)73c)75d)76Correct answer is option 'D'. Can you explain this answer?.
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