Number should be 2 instead of x .
Step-by-step explanation:
Here we have , Jonas has the following data: 2, 5, x, 2, 4, 3. if the average is 3, We need to find what number should be instead x . Let's find out:
We know that
[tex]Average = \frac{(x_1+x_2+x_3+...........+x_n)}{n}[/tex]
Where [tex]x_1, x_2,x_3,.....,x_n[/tex] is terms and n is the number of terms . Let's find average for 2, 5, x, 2, 4, 3 which is 3 :
⇒ [tex]Average = \frac{(x_1+x_2+x_3+...........+x_n)}{n}[/tex]
⇒ [tex]3 = \frac{(2+5+x+2+4+3)}{6}[/tex]
⇒ [tex]3(6) = \frac{(16+x)}{6}(6)[/tex]
⇒ [tex]18= 16+x[/tex]
⇒ [tex]x=2[/tex]
Therefore , Number should be 2 instead of x .
