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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?
- A16
- B8
- C6
- D12
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CCommunity
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
∴ 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