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12 observations in a data are written in descending order. If the first observation is doubled, the median will ______.

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Question

12 observations in a data are written in descending order. If the first observation is doubled, the median will ______.

Options

  • remain same

  • increase by 12

  • decrease by 12

  • change by 12

MCQ
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Solution

12 observations in a data are written in descending order. If the first observation is doubled, the median will remain same.

Explanation:

When observations are written in descending order, the first observation is the largest value. Since the median for 12 observations depends entirely on the 6th and 7th terms, altering the first term leaves the median unaffected.

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Chapter 18: Mean and Median [For Ungrouped Data Only] - Exercise 18 (B) [Page 267]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 18 Mean and Median [For Ungrouped Data Only]
Exercise 18 (B) | Q 1. (b) | Page 267
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