Question

if the mean of x, x+1, x+2, x+3, x+4 and x+5 is 8 then find the value of x​

Answer 1

Answer:

6x +15/6=8

6x+15=48

6x=33

x=11/2

Answer 2

Answer:

The value of x is 5.5

Step-by-step explanation:

Given observations =

• x
• x + 1
• x + 2
• x + 3
• x + 4
• x + 5

Mean of the observations = 8

Value of x = ??

$\boxed{\sf{Mean = \frac{Sum \: of \: Observations}{No. \: of \: Observations}}}$

$\sf{\longrightarrow} \: 8 = \dfrac{x + (x+1) + (x+2) + (x+3) + (x+4) + (x+5)}{6}$

$\sf{\longrightarrow} \: 8 = \dfrac{6x + 15}{6}$

$\sf{\longrightarrow} \: 8 \times 6 = 6x + 15$

$\sf{\longrightarrow} \: 48 = 6x + 15$

$\sf{\longrightarrow} \: 6x = 48 - 15$

$\sf{\longrightarrow} \: 6x = 33$

$\sf{\longrightarrow} \: x = \dfrac{33}{6}$

$\sf{\longrightarrow} \:x = 5.5$

Value of x = 5.5

Therefore, the value of x is 5.5