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The mean of five numbers is 30. If one number is excluded, their mean becomes 28. What is the excluded number?
- a)38
- b)35
- c)33
- d)36
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The mean of five numbers is 30. If one number is excluded, their mean ...
- Calculate the total sum of the five numbers:The mean of five numbers is 30. So, the total sum S of these five numbers is:S=mean×number of items=30×5=15
- Calculate the total sum of the remaining four numbers:When one number is excluded, the mean of the remaining four numbers is 28. So, the total sum S′ of these four numbers is:S′=mean×number of items=28×4=112
- Find the excluded number:The excluded number xxx is the difference between the total sum of the five numbers and the total sum of the four remaining numbers:x=S−S′=150−112=38
So, the excluded number is 38.
Thus, the correct answer is:
1. 38
Most Upvoted Answer
The mean of five numbers is 30. If one number is excluded, their mean ...
Given:
- Mean of five numbers = 30
- Mean of remaining four numbers when one number is excluded = 28
To find: Excluded number
Solution:
Let the sum of five numbers be S and the excluded number be x.
We are given that:
S/5 = 30 (Mean of five numbers)
(S-x)/4 = 28 (Mean of remaining four numbers)
Solving for S in the first equation, we get:
S = 150
Substituting the value of S in the second equation and simplifying, we get:
150 - x = 112
x = 38
Therefore, the excluded number is 38.
Hence, option A is the correct answer.
- Mean of five numbers = 30
- Mean of remaining four numbers when one number is excluded = 28
To find: Excluded number
Solution:
Let the sum of five numbers be S and the excluded number be x.
We are given that:
S/5 = 30 (Mean of five numbers)
(S-x)/4 = 28 (Mean of remaining four numbers)
Solving for S in the first equation, we get:
S = 150
Substituting the value of S in the second equation and simplifying, we get:
150 - x = 112
x = 38
Therefore, the excluded number is 38.
Hence, option A is the correct answer.
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Community Answer
The mean of five numbers is 30. If one number is excluded, their mean ...
Mean is 30 for 5 numbers
so, 30*5=150 (total of the 5 numbers)
150-38=112
112/4=28
so, the number is 38
so, 30*5=150 (total of the 5 numbers)
150-38=112
112/4=28
so, the number is 38
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The mean of five numbers is 30. If one number is excluded, their mean becomes 28. What is the excluded number?a)38b)35c)33d)36Correct answer is option 'A'. Can you explain this answer?
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