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InterviewSolution
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Following is the distribution of I.Q of 100 students. Find the median I.Q. I. Q: 55 - 64 65 - 74 75 - 84 85 - 84 95 - 104 105 - 114 115 - 124 125 - 134 135 - 144 No. of students: 1 2 9 22 33 22 8 2 1 |
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Answer»
We have, N = 100 \(\frac{N}{2}=\frac{100}{2}=50\) The cumulative frequency just greater than \(\frac{N}{2}\) s 67 then the median class 94.5-104.5 such that, l = 94.5, f = 33, F = 34, h = 104.5 – 94.5 = 10 Median = I + \(\frac{\frac{N}{2}-F}{f}\times h\) \(=94.5+\frac{50-34}{33}\times10\) \(=94.5+\frac{16}{33}\times10\) \(=94.5+4.85=99.35\) |
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