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Mathematics

Mean of 20 observations (numbers) is 30. If one number is excluded, the mean of remaining numbers becomes 28. The excluded number is :

  1. 532

  2. 1132

  3. 68

  4. 572

Statistics

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Answer

Given:

Mean of 20 observations = 30

⇒ Sum of all 20 observations = 30 x 20 = 600

On excluding an observation, the mean of the remaining 19 observations = 28

∵ Sum of all remaining 19 observations = 28 x 19 = 532

⇒ Excluded observation = Sum of all 20 observations - Sum of all remaining 19 observations

= 600 - 532

= 68

Hence, option 3 is the correct option.

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