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Which one of the following measures is determined only after the construction of cumulative frequency distribution?

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Question

Which one of the following measures is determined only after the construction of cumulative frequency distribution?

Options

  • Mean

  • Median

  • Mode

  • None of these

MCQ
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Solution

Median

Explanation:

The median is found by locating the point where the cumulative frequency reaches `N/2` (or by the intersection of the ‘less than’ and ‘greater than’ ogives), so you must construct the cumulative frequency distribution (ogive) to identify the median class/value. Mean and mode can be obtained directly from frequencies/class marks (they do not require the cumulative distribution).

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Chapter 18: Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive - TEST YOURSELF [Page 907]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 18 Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive
TEST YOURSELF | Q 1. | Page 907
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