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Find the class size ( length of the class Inter class ) If frequency of Model class . 5 more than frequencies of the previous class & 3 less than the frequency of the next class for mode $= 30$ , lower limit $= 15$

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Detailed Solution

Mode $= l + (\frac{(f - f_{1}) c}{(f - f_{1}) + (f - f_{2})})$

Let frequency of model class $= x$

$= x$

Then $f_{1} = x - 5, f_{2} = x + 3$

$30 = 15 + (\frac{(x - (x - 5)) c}{(x - (x - 5) + (x - (x + 3)})$

$\begin{array}{l} 15 = \frac{5 (c)}{5 - 3} \Rightarrow 15^{3} = \frac{5}{2} \\ c = 6 \end{array}$

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