Question

if the sum of X + Y observations is x square minus y square then find the mean​

Answer 1

Answer:-

Mean = (x - y)

Step - by - step explanation:-

To find :-

→ find mean of the given data.

Given:-

$\bf{ \star \: sum \: of \: observation \: = {x}^{2} - {y}^{2} }\\ \\ \bf{ \star \: number \: of \: observation \: = x + y}$

Solution:-

We know that,

$\bf{mean \: = \frac{sum \: of \: observations \: }{total \: number \: of \: observations} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \bf{\frac{ {x}^{2} - {y}^{2} }{x + y} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \bf{\frac{(x - y)(x + y)}{x + y} } \\ \\ \: \boxed{ \bf{mean = x - y}}$

Answer 2

Step-by-step explanation:

sumofobservation=x

2

−y

2

⋆numberofobservation=x+y

Solution:-

We know that,

\begin{gathered} \bf{mean \: = \frac{sum \: of \: observations \: }{total \: number \: of \: observations} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \bf{\frac{ {x}^{2} - {y}^{2} }{x + y} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \bf{\frac{(x - y)(x + y)}{x + y} } \\ \\ \: \boxed{ \bf{mean = x - y}}\end{gathered}

mean=

totalnumberofobservations

sumofobservations

=

x+y

x

2

−y

2

=

x+y

(x−y)(x+y)

mean=x−y