Question

The average of x₁, x₂, x₃, x₄ is 16. Half the sum of x₂, x₃, x₄ is 23. What is the value of x₁ .​

Answer 1

Answer:

Average

= ( sum of the observations ) /

(number of observations )

_____________________________

According to the question ,

Observations are x1 , x2 , x3 , x4

Average = 16

( x1 + x2 + x3 + x4 )/ 4 = 16

x 1 + x2 + x3 + x4 = 64 --------( 1 )

Half the sum of x2 , x 3 , x4 = 23

1/2( x2 + x3 + x4 ) = 23

x2 + x3 + x4 = 46 --------( 2 )

Subtract ( 2 ) from ( 1 )

x1 = 18

I hope this helps you.

Step-by-step explanation: