Find the mode of the following data beginarray - c - c - c - hline Class - Frequency IINhine 0-100 - 7Whline100-200 - 11Thline200-300 - 15Whline 300-400 - 9Whine400-500 - 8Whineend array A- 220B- 240C- 260D- 280

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Byju's Answer

Standard XI

Statistics

Mode of Continuous Series

Find the mode...

Question

Find the mode of the following data

$\begin{matrix} C l a s s & F r e q u e n c y 0 - 100 & 7 100 - 200 & 11 200 - 300 & 15 300 - 400 & 9 400 - 500 & 8 \end{matrix}$

220

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240

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260

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280

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Solution

The correct option is B
240

The grouping table and the analysis table
for the given distribution are shown below.

From the analysis table, the class
200-300 has the maximum score.
Hence, 200 - 300 is the modal class.

Here, $L = 60; D_{1} = 15 - 11 = 4; D_{2} = 15 - 9 = 6; h = 100$
$M o d e = L + \frac{D_{1}}{D_{1} + D_{2}} \times h = 200 + \frac{4}{4 + 6} \times 100 = 240$

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