Question

${ \huge { \sf{ \pink { \underline{ \pink{ \underline { question}}}}}}}$
${ \sf { \red {if \: the \: median \: of the \: distribution }}}\\ { \sf { \red { given \: below \: is \: 28.5 \: find }}} \\ { \sf { \red{ the \: value \: of \: x \: and \: y }}}$
⚠️${ \sf{ \red {\underline{ \underline{ \pink{wrong\: answer \: will \: be \: reported}}}}}}$
​

Answer 1

${\pink{\underline{\boxed{ \sf{answer}}}}}$

Now,

$Median \: = l + \frac{ \frac{N}{2} - cf }{f} \times h$

since Median = 28.5

20-30 is median class

where

$N = ∑f _{i} = 60$

$l = 20$

$h = 10 - 0 = 10$

$cf = 5 + x$

$f = 20$

putting values in fotmula

$Median \: = l + \frac{ \frac{N}{2} - cf }{f} \times h$

$28.5 = 20 + \frac{30 - (5 + x)}{20} \times 10$

$28.5 = 20 + \frac{25 - x}{2}$

$28.5 - 20 = \frac{25 - x}{2}$

$8.5 = \frac{25 - x}{2}$

$8.5 \times 2 = 25 - x$

$17 = 25 - x$

$x = 25 - 17$

$x = 8$

Also,

$∑f_{i} = 45 + x + y$

putting values

$60 = 45 + 8 + y$

$60 = 53 + y$

$60 - 53 = y$

$7 = y$

$y = 7$

ʜᴇɴᴄᴇ

x=8

ʏ=7