The frequency distribution of the age of students in a class of 40 students is given below…

Question

The frequency distribution of the age of students in a class of 40 students is given below.

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Accepted Answer

Age
 No. of Students
 CF

15
 5
 5

16
 8
 13

17
 5
 18

18
 12
 30

19
 $x$
 $30+x$

20
 $y$
 $30+x+y$

$\begin{gathered} 30+x+y=40 \ x+y=10 \end{gathered}$

Median $={(\frac{n+1}{2})}^{}$ observation

$=\frac{40+1}{2}=\frac{41}{2}$

Median $=18$

Mean deviation about median

$\begin{gathered} 5.3+8.2+5.1+12.0+x\cdot 1+y\cdot 2=1.25	imes 40 \ 15+16+5+x+2y=50 \ x+2y=14 \ \, x+y=10 \ \Rightarrow \, x=4 \ \Rightarrow \, y=6 \ 4x+5y =24+20 \ =44 \end{gathered}$

Solutions · 1