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

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Question

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

Options

  • 532

  • 1132

  • 68

  • 572

MCQ
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Solution

Mean of 20 observations (numbers) is 30. If one number is excluded, the mean of remaining numbers becomes 28. The excluded number is 68.

Explanation:

The sum of the original 20 observations is 20 × 30 = 600. After excluding one number, the remaining 19 observations have a mean of 28, resulting in a sum of 19 × 28 = 532, meaning the excluded number is 600 − 532 = 68.

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Chapter 18: Mean and Median [For Ungrouped Data Only] - Exercise 18 (A) [Page 264]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 18 Mean and Median [For Ungrouped Data Only]
Exercise 18 (A) | Q 1. (c) | Page 264
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