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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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