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The mean weight of a group of 10 items is 28 and that of another group of n items is 35.The mean of combined group of 10 + n items is found to be 30. The value of n is
  • a)
    12
  • b)
    4
  • c)
    10
  • d)
    2
Correct answer is option 'B'. Can you explain this answer?
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The mean weight of a group of 10 items is 28 and that of another group...
Given Information:
- Mean weight of a group of 10 items = 28
- Mean weight of another group of n items = 35
- Mean weight of combined group of 10+n items = 30

To find: value of n

Mean Formula:
Mean = (Sum of all values) / (Number of values)

Approach:
Let's first find the sum of weights of two groups separately.
Total sum of weights of 10 items = 28 × 10 = 280
Total sum of weights of n items = 35n

Now, let's find the total sum of weights of combined groups using the mean formula.
Total sum of weights of 10+n items = 30 × (10+n) = 300 + 30n

We can now form the following equation by adding the sum of two groups:
280 + 35n = 300 + 30n
Simplifying the above equation, we get:
5n = 20
n = 4

Therefore, the value of n is 4.

Answer: Option B
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The mean weight of a group of 10 items is 28 and that of another group...
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The mean weight of a group of 10 items is 28 and that of another group of n items is 35.The mean of combined group of 10 + n items is found to be 30. The value of n isa)12b)4c)10d)2Correct answer is option 'B'. Can you explain this answer?
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