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The mean of 15 numbers is 40. If two numbers 45 and 35 are removed, then what will be the mean of remaining numbers?
- a)37.5
- b)40
- c)42.5
- d)38
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The mean of 15 numbers is 40. If two numbers 45 and 35 are removed, th...
Average of 15 numbers is 40
∴ Sum of these 15 numbers = 15 × 40 = 600
If two numbers 45 and 35 are removed
Sum of remaining 13 numbers = 600 - 45 - 35 = 520
∴ Average of these 13 numbers = 520/13 = 40
Most Upvoted Answer
The mean of 15 numbers is 40. If two numbers 45 and 35 are removed, th...
Given information:
- The mean of 15 numbers is 40.
- Two numbers, 45 and 35, are removed from the set of numbers.
To find: The mean of the remaining numbers.
Solution:
To find the mean of a set of numbers, we sum all the numbers in the set and divide the sum by the number of elements in the set.
Step 1: Calculate the sum of the 15 numbers.
The sum of the 15 numbers is equal to the mean multiplied by the number of elements:
Sum = Mean × Number of elements
Sum = 40 × 15
Sum = 600
Step 2: Calculate the sum of the remaining numbers after removing 45 and 35.
Since the sum of the 15 numbers is 600, and we removed two numbers (45 and 35), the sum of the remaining numbers can be found by subtracting the sum of the removed numbers from the total sum:
Sum of remaining numbers = Total sum - Sum of removed numbers
Sum of remaining numbers = 600 - (45 + 35)
Sum of remaining numbers = 600 - 80
Sum of remaining numbers = 520
Step 3: Calculate the mean of the remaining numbers.
To find the mean, divide the sum of the remaining numbers by the number of elements (which is 15 - 2 = 13 after removing two numbers):
Mean of remaining numbers = Sum of remaining numbers / Number of elements
Mean of remaining numbers = 520 / 13
Mean of remaining numbers = 40
Therefore, the mean of the remaining numbers after removing 45 and 35 is 40, option B.
- The mean of 15 numbers is 40.
- Two numbers, 45 and 35, are removed from the set of numbers.
To find: The mean of the remaining numbers.
Solution:
To find the mean of a set of numbers, we sum all the numbers in the set and divide the sum by the number of elements in the set.
Step 1: Calculate the sum of the 15 numbers.
The sum of the 15 numbers is equal to the mean multiplied by the number of elements:
Sum = Mean × Number of elements
Sum = 40 × 15
Sum = 600
Step 2: Calculate the sum of the remaining numbers after removing 45 and 35.
Since the sum of the 15 numbers is 600, and we removed two numbers (45 and 35), the sum of the remaining numbers can be found by subtracting the sum of the removed numbers from the total sum:
Sum of remaining numbers = Total sum - Sum of removed numbers
Sum of remaining numbers = 600 - (45 + 35)
Sum of remaining numbers = 600 - 80
Sum of remaining numbers = 520
Step 3: Calculate the mean of the remaining numbers.
To find the mean, divide the sum of the remaining numbers by the number of elements (which is 15 - 2 = 13 after removing two numbers):
Mean of remaining numbers = Sum of remaining numbers / Number of elements
Mean of remaining numbers = 520 / 13
Mean of remaining numbers = 40
Therefore, the mean of the remaining numbers after removing 45 and 35 is 40, option B.
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The mean of 15 numbers is 40. If two numbers 45 and 35 are removed, then what will be the mean of remaining numbers?a)37.5b)40c)42.5d)38Correct answer is option 'B'. Can you explain this answer?
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