Find the median of the following data- WlineNo- of Plants - No- of house INhline 0 -2 - 1 Whline 2-4 - 3 Whline 4-6 - 2 Whline6-8 - 4 Wline8-10 - 5 lllhline 10-12 - 3 Whline 12-14 - 2 Whline lend array A- 8B- 16C- 48D- 24

The correct option is A 8[ Class Interval amp; Number of houses amp; Cumulative Frequency; 0 2 amp ...

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Byju's Answer

Standard VIII

Mathematics

Median for a Grouped Data

Find the medi...

Question

Find the median of the following data.

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

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Solution

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

$Median = L R L + (\frac{\frac{N}{2} - f_{c}}{f_{m}}) \times i$ ,
where LRL = lower real limit, $f_{m}$ =frequency of median class, $f_{c}$ =cumulative frequency above the median class and $i$ =size of the class interval

$⟹ M e d i a n = 8 + \frac{10 - 10}{5} \times 10$

$= 8$

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Find the median of the following data. No. of PlantsNo. of house0−212−434−626−848−10510−12312−142

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