Find the median of the following data- - No- of Plants No- of house- 0-2 1- 2-4 3- 4-6 2- 6-8 4- 8-10 5- 10-12 3- 12-14 2- - -3 MARKS-

Table: 1 Mark Formula: 1 Mark Application: 1 Mark [ Class Interval amp; No. of houses amp; Cumulative Frequency; 0 ...

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Standard X

Mathematics

Median

Find the medi...

Question

Find the median of the following data.

$\begin{matrix} N o . o f P l a n t s & N o . o f h o u s e 0 - 2 & 1 2 - 4 & 3 4 - 6 & 2 6 - 8 & 4 8 - 10 & 5 10 - 12 & 3 12 - 14 & 2 \end{matrix}$ [3 MARKS]

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Solution

Table: 1 Mark
Formula: 1 Mark
Application: 1 Mark

$\begin{matrix} C l a s s I n t e r v a l & N o . o f h o u s e s & C u m u l a t i v e F r e q u e n c y 0 - 2 & 1 & 1 2 - 4 & 3 & 4 4 - 6 & 2 & 6 6 - 8 & 4 & 10 8 - 10 & 5 & 15 10 - 12 & 3 & 18 12 - 14 & 2 & 20 \end{matrix}$

Median
$= l + (\frac{\frac{n}{2} - c f}{f}) \times h$

$= 8 + \frac{10 - 10}{5} \times 10$

$= 8$

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