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The mean of 10 observations is 17. One more observation is included and the new mean becomes 16. Then find the 11th observation?

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The mean of 10 observations is 17. One more observation is included and the new mean becomes 16. Then find the 11th observation?


1). 16
2). 8
3). 6
4). 12


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1 answers

24 vote
Answered by on | Votes 24 |

Given that mean of 10 observations is 17

∴ Sum of 10 observations = 170

Also given that when one observation is included the new mean is 16

∴ mean of 11 observations = 16

∴ Sum of 11 observations = 11 × 16 = 176

11th observation = sum of 11 observations - sum of 10 observations = 176 - 170 = 6

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