From the following data- find the median age of 100 residents of a colony who took part in swatchch bharat abhiyan-Wline Agein yrs- More - No- of residents t e x t t h a n o r e q u a l t o -Wline0 - 50 1Wline10 - 46 1Wline 20 - 40 1Wline30 - 20 1Wline40 - 10 1Wline50-3 1Wline array

[ C.I. amp; Frequency amp; c.f.; 0 10 amp; 4 amp; 4; 10 20 amp; 6 amp; 10; 20 30 ...

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Standard X

Mathematics

Median

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Question

From the following data, find the median age of $100$ residents of a colony who took part in Swachh Bharat Abhiyan:

$\begin{matrix} Age(in yrs.) More & No. of residents than or equal to 0 & 50 10 & 46 20 & 40 30 & 20 40 & 10 50 & 3 \end{matrix}$

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Solution

$\begin{matrix} C.I. & Frequency & c.f. 0 - 10 & 4 & 4 10 - 20 & 6 & 10 20 - 30 & 20 & 30 30 - 40 & 10 & 40 40 - 50 & 7 & 47 50 - 60 & 3 & 50 \end{matrix}$

$\frac{N}{2} = \frac{50}{2} = 25$
Median class is $20 - 30$
Median $= l + [h \frac{(\frac{N}{2} - c . f .)}{f}]$
$= 20 + [10 \times \frac{(25 - 10)}{20}] = 20 + \frac{15}{2} = 27.5$

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From the following data, find the median age of 100 residents of a colony who took part in Swachh Bharat Abhiyan: Age(in yrs.) MoreNo. of residentsthan or equal to0501046204030204010503

C.I.Frequencyc.f.0−104410−2061020−30203030−40104040−5074750−60350 N2=502=25Median class is 20−30 Median =l+[h (N2−c.f.)f] =20+[10×(25−10)20]=20+152=27.5

From the following data, find the median age of $100$ residents of a colony who took part in Swachh Bharat Abhiyan:

$\begin{matrix} Age(in yrs.) More & No. of residents than or equal to 0 & 50 10 & 46 20 & 40 30 & 20 40 & 10 50 & 3 \end{matrix}$