Marks obtains by all the students of class 12 are presented in a freqency distribution with classes of equal width. Let the median of this grouped data be 14 with median class interval 12-18 and median class frequency 12. If the number of students whose marks are less than 12 is 18, then the total…

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Marks obtains by all the students of class 12 are presented in a freqency distribution with classes of equal width. Let the median of this grouped data be 14 with median class interval 12-18 and median class frequency 12. If the number of students whose marks are less than 12 is 18, then the total number of students is

Aicharya · Accepted Answer

$\begin{aligned} & 	ext {Median }=\ell+\left(\frac{\frac{\mathrm{N}}{2}-\mathrm{F}}{\mathrm{f}}ight) 	imes \mathrm{h} \ & =12+\left(\frac{\frac{\mathrm{N}}{2}-18}{12}ight) 	imes 6=14 \ & \Rightarrow\left(\frac{\frac{\mathrm{~N}}{2}-18}{12}ight) 	imes 6=2 \ & \frac{\mathrm{~N}}{2}-18=4 \Rightarrow \mathrm{~N}=44\end{aligned}$ ~

Marks obtains by all the students of class 12 are presented in a freqency distribution with classes of equal…

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