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50 persons were examined through X-ray and observations were noted as under:Diameter of heart (in mm) : 120,121,122,123,124Number of patients: 5,8,12,9,6,10Find:(i) The mean diameter of heart,(ii) The median diameter of heart. |
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Answer»
\(\therefore\) Mean = \(\frac{\sum f_ix_i}{\sum f_i}\) = \(\frac{6133}{50}\) = 122.66 \(\frac{n}2=\frac{50}2=25\) \(\therefore\) l = 122, c = 13, f = 12, h = 1 Medium = l + \(\cfrac{\frac{n}2-c}{f}\times h\) = 122 + \(\frac{25-13}{12}\times 1\) = 122 + \(\frac{12}{12}\times1\) = 122 + 1 = 123 Hence, medium diameter of heart is 123 mm |
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