Question

The mean of 5, 6, 8, 10 and x is 7. Then the value of x is _______________

Answer 1

$\mathfrak{Answer:}$

= 6.

$\mathfrak{Step-by-Step\;Explanation:}$

$\underline{\bold{Given\;in\;the\;Question:}}$

• The mean of 5, 6, 8, 10 and x is 7.

$\mathcal{TO\;FIND:}$

• The value of x.

$\bigstar\quad\textbf{We know that : \boxed{\bold{Mean=\dfrac{Sum\;of\;observations}{No.\;of\;observations}.}}}\\\\\\\mathfrak{According\;to\;Question:}\\\\\\\implies\tt{\dfrac{5+6+8+10+x}{5}=7}\\\\\\\implies\tt{29+x=35}\\\\\\\implies\tt{x=35-29}\\\\\\\therefore\quad\tt{x=6.}$

$\boxed{\boxed{\bold{The\;value\;of\;x=6.}}}$

Answer 2

The mean of 5, 6, 8, 10 and x is 7.

__________ [ GIVEN ]

• We have to find the value of x.

____________________________

We know that..

Mean = $\frac{Sum\:of\: Observations}{Number\:of\: observations}$

• Sum of observations = 5 + 6 + 8 + 10 + x

=> 11 + 8 + 10 + x

=> 29 + x

• Number of observations = 5

Put them in above formula

→ Mean = $\dfrac{29\:+\:x}{5}$

→ 7 = $\dfrac{29\:+\:x}{5}$

→ 35 = 29 + x

→ x = 35 - 29

→ x = 6

_____________________________

$\huge{\bold{x\:=\:6}}$

__________ [ ANSWER ]

_____________________________