English

Median = ?

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Question

Median = ?

Options

  • `l + {h xx ((N/2 - cf))/f}`

  • `l + {h xx ((cf - N/2 ))/f}`

  • `l - {h xx ((N/2 - cf))/f}`

  • None of these

MCQ
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Solution

`bb(l + {h xx ((N/2 - cf))/f})`

Explanation:

 For a grouped (continuous) frequency distribution the median is found by linear interpolation inside the median class: Median = `l + {(N/2 − F)/f} xx h`, where l = lower limit of the median class, N = total frequency, F (cf) = cumulative frequency of the class preceding the median class, f = frequency of the median class, and h = class width. Thus `l + {h xx ((N/2 - cf))/f}`.

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Chapter 18: Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive - MULTIPLE-CHOICE QUESTIONS (MCQ) [Page 902]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 18 Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive
MULTIPLE-CHOICE QUESTIONS (MCQ) | Q 17. | Page 902
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