Question

8. If the mean of x, x + 2, x + 4, x + 6, x+8 is 24, find x.​

Answer 1

Answer:

x=20

Step-by-step explanation:

mean=Sum of observations /number of observations

24=(x+x+2+x+4+x+6+x+8)/5

120=5x+20

(120-20)/5=x

100/5=x

x= 20

Answer 2

$\huge \sf \underline{Answer : }$

$\bf{ \boxed{ \underline{ \underline{ \purple{ \tt{x = 20 \: }}}}}}$

$\huge \sf \underline \red{Question : }$

• If the mean of x,x+2,x+4,x+6,x+8 is 24

$\huge \sf \underline \pink{To \: Find : }$

• x = ?

$\huge \sf \underline \green{Given : }$

• x,x+2,x+4,x+6,x+8

• Mean of observation is 24

$\huge \sf \underline \blue{solution : }$

$\sf \underline{we \: know \: that \: mean \: formula : }$

$\bf{ \boxed{ \underline{ \underline{ \red{ \tt{mean = \frac{sum \: of \: observation}{number \: of \: observation \: }}}}}}}$

• Mean is 24

• sum of observation is x,x+2,x+4,x+6,x+8 is 24

• Number of observation is 5

$\sf \underline{so}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \ \sf{❀ 24 = \dfrac{x,x+2,x+4,x+6,x+8}{5}}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{❀ 24 \times 5 = {(x) + (x+2) + (x+4) + (x+6 )+ (x+8)}}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{❀ 120 = 5x + 20}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{❀ 120 - 20 = 5x}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{❀ 5x = 100}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{❀ x = \dfrac{100}{5} }$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{❀ x = 20 }$

$\sf \underline \red{ \therefore \: x = 20}$