the mean of 10 Numbers is 47 if one number is excluded mean of the remaining number become 46 find the excluded numbers
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21
Answer:
56
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Given that:
- The mean of 10 Numbers is 47.
- One number is excluded mean of the remaining number become 46.
To Find:
- The excluded number.
Let us assume:
- The excluded number be x.
We know that:
- Mean = Sum of observations / No. of observations
When the mean of 10 Numbers is 47:
↣ 47 = Sum of observations / 10
↣ Sum of observations = 47 × 10
↣ Sum of observations = 470
When a number 'x' is excluded:
- Sum of observations = 470 - x
- No. of observations = 10 - 1 = 9
- Mean = 46
Finding the excluded number:
↣ 46 = (470 - x) / 9
↣ 46 × 9 = 470 - x
↣ 414 = 470 - x
↣ x = 470 - 414
↣ x = 56
Hence,
- The excluded number is 56.
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