Question

if the mean of x,x+2,x+4,x+6,x+8 is 24, find x

Answer 1

Answer:

Mean = Sum of all observations / Total Number of observations

Sum of all observations = x + x + 2 + x + 4 + x + 6 + x + 8

⇒ Sum of all observations = 5x + 20

Mean = 24

Number of observations = 5

Substituting in the formula we get,

⇒ 24 = ( 5x + 20 ) / 5

Cross multiplying 5 with 24 we get,

⇒ 24 × 5 = 5x + 20

⇒ 120 = 5x + 20

⇒ 120 - 20 = 5x

⇒ 100 = 5x

⇒ x = 100 / 5 = 20

Hence the value of x is 20.

Answer 2

HEY THERE!!



Question:


if the mean of x,x+2,x+4,x+6,x+8 is 24.

Given:

Observation = x,x+2,x+4,x+6,x+8

Mean of observation = 24


Method Of Solution:


Mean = Sum of observations/Number of observation


Substitute the Given value in Formula!


Mean = Sum of observations/Number of observation


=> 24 = x+x+2+x+4+x+6+x+8 /5


=> 24 × 5 = (x)+(x+2)+(x+4)+(x+6)+(x+8)


=>120 = 5x+20

=> 120-20 = 5x

•^• 5x = 100

•°• x = 100/5

•^• x = 20


Hence, Required value of x is 20.