A measure of dispersion is a good supplement to the central value in
understanding a frequency distribution. Comment.
Answers
Answer:
Answer−
\begin{gathered}\begin{gathered}\begin{gathered}\bf \: Let - \green{\begin{cases} &\tt{denominator \: = x} \\ &\sf{numerator \: = \: x - 4} \end{cases}}\end{gathered}\end{gathered}\end{gathered}
Let−{
denominator=x
numerator=x−4
So,
\begin{gathered}\begin{gathered}\bf \:fraction - \purple{\begin{cases} &\bf{\dfrac{x - 4}{x} } \end{cases}}\end{gathered}\end{gathered}
fraction−{
x
x−4
\large \underline{\tt \: \red{ According \: to \: statement }}
Accordingtostatement
if 1 is subtracted from numerator and 3 is added to the denominator, fraction becomes 1/5.
Now,
\rm :\implies\:Numerator = x - 4 - 1 = x - 5:⟹Numerator=x−4−1=x−5
\rm :\implies\:Denominator = x + 3:⟹Denominator=x+3
So,
\begin{gathered}\begin{gathered}\bf \:fraction - \pink{\begin{cases} &\bf{\dfrac{x - 5}{x + 3} } \end{cases}}\end{gathered}\end{gathered}
fraction−{
x+3
x−5
\large \underline{\tt \: \blue{ According \: to \: statement }}
Accordingtostatement
\rm :\implies\:\dfrac{x - 5}{x + 3} = \dfrac{1}{5}:⟹
x+3
x−5
=
5
1
\rm :\implies\:5x - 25 = x + 3:⟹5x−25=x+3
\rm :\implies\:5x - x = 25 + 3:⟹5x−x=25+3
\rm :\implies\:4x = 28:⟹4x=28
\rm :\implies\: \boxed{ \green{ \bf \:x = 7 }}:⟹
x=7
\begin{gathered}\begin{gathered}\bf So,\:fraction - \green{\begin{cases} &\tt{\dfrac{x - 4}{x} =\dfrac{7 - 4}{7} = \dfrac{3}{7} } \end{cases}}\end{gathered}\end{gathered}
So,fraction−{
x
x−4
=
7
7−4
=
7
3
Explanation:
Answer−
\begin{gathered}\begin{gathered}\begin{gathered}\bf \: Let - \green{\begin{cases} &\tt{denominator \: = x} \\ &\sf{numerator \: = \: x - 4} \end{cases}}\end{gathered}\end{gathered}\end{gathered}
Let−{
denominator=x
numerator=x−4
So,
\begin{gathered}\begin{gathered}\bf \:fraction - \purple{\begin{cases} &\bf{\dfrac{x - 4}{x} } \end{cases}}\end{gathered}\end{gathered}
fraction−{
x
x−4
\large \underline{\tt \: \red{ According \: to \: statement }}
Accordingtostatement
if 1 is subtracted from numerator and 3 is added to the denominator, fraction becomes 1/5.
Now,
Numerator
fraction−{
x+3
x−5
x+3
x−5
x
x−4
=
7
7−4
=
7
3