Find the mode for the following data- array - c - c - c - c - c - c - hlineFrequency - 200 - 250 - 50 - 70 - 40 Willine lendarray

Modal Class is 25 55 Mode=I+(f_1 f_0/2f_1 f_0 f_2)×h =45 +250 200/500 200 50×10 = 45 + 2 = 47 ...

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Standard IX

Mathematics

Finding Mode for Grouped Data When Class Intervals Are GivenÂ

Find the mode...

Question

Find the mode for the following data.

$\begin{matrix} C l a s s i n t e r v e l & 35 - 45 & 45 - 55 & 55 - 65 & 65 - 75 & 75 - 85 F r e q u e n c y & 200 & 250 & 50 & 70 & 40 \end{matrix}$

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Solution

Modal Class is 25-55

Mode=I+ $(\frac{f_{1} - f_{0}}{2 f_{1} - f_{0} - f_{2}})$ $\times$ h

=45 + $\frac{250 - 200}{500 - 200 - 50}$ $\times$ 10

= 45 + 2

= 47

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Find the mode for the following data. Class intervel35−4545−5555−6565−7575−85Frequency200250507040

Modal Class is 25-55 Mode=I+(f1−f02f1−f0−f2)×h =45 +250−200500−200−50×10 = 45 + 2 = 47

Find the mode for the following data.

$\begin{matrix} C l a s s i n t e r v e l & 35 - 45 & 45 - 55 & 55 - 65 & 65 - 75 & 75 - 85 F r e q u e n c y & 200 & 250 & 50 & 70 & 40 \end{matrix}$

Modal Class is 25-55

Mode=I+ $(\frac{f_{1} - f_{0}}{2 f_{1} - f_{0} - f_{2}})$ $\times$ h

=45 + $\frac{250 - 200}{500 - 200 - 50}$ $\times$ 10

= 45 + 2

= 47