Question

pls answer this one properly​

Answer 1

ᬊ Required Response:-

Here,

$\bf{Σ{f}_{i} = 31+x+y}$

$\bf{31+x+y = 40}$

$\bf{x+y = 40-31}$

$\bf{→\;x+y = 9}$

x+y = 9

y = 9-x

$\bf{Σ{f}_{i}{u}_{i} = 22-2x-y}$

$\bf{63.5 = 62.5+\frac{22-2x-y}{\cancel{40}}\times\cancel{5}}$

$\bf{63.5-62.5 = \frac{22-2x-y}{8}}$

$\bf{1×8 = 22-2x-y}$

$\bf{8-22 = -(2x+y)}$

$\bf{-14 = -(2x+y)}$

$\bf{→\;2x+y = 14}$

By Substituting "y = 9-x" in Equation 2...

$\bf{2x+9-x = 14}$

$\bf{x = 14-9}$

$\bf{\mapsto\;x = 5}$

By Substituting "x = 5" in Equation 1...

$\bf{5+y = 9}$

$\bf{y = 9-5}$

$\bf{\mapsto\;y = 4}$

Value of x is

• $\longmapsto\;\red{\bold{5}}$

Value of y is

• $\longmapsto\;\purple{\bold{4}}$

☩ Formulas Used:-

$\boxed{\sf{Mid\;Point(x_{i}) = \frac{(Upper\; Limit+Lower\; Limit)}{2}}}$

$\boxed{\sf{Mean = A+\frac{Σ{f}_{i}{u}_{i}}{Σ{f}_{i}}×h}}$

$\boxed{\tt{@MrSovereign}}$

Hope It Helps You ✌️