Number should be 2 instead of x .
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
![Average = ((x_1+x_2+x_3+...........+x_n))/(n)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/gp3av52j74novox7y4x2470mogto6dre0o.png)
Where
is terms and n is the number of terms . Let's find average for 2, 5, x, 2, 4, 3 which is 3 :
⇒
![Average = ((x_1+x_2+x_3+...........+x_n))/(n)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/gp3av52j74novox7y4x2470mogto6dre0o.png)
⇒
![3 = ((2+5+x+2+4+3))/(6)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/m104ujmevhip4mdhjaczt8ql1w0vmy4unv.png)
⇒
![3(6) = ((16+x))/(6)(6)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/byw1fuq62e08od0sp5fpk14wgezv7iz3ng.png)
⇒
![18= 16+x](https://img.qammunity.org/2021/formulas/mathematics/middle-school/3hz6ms2yk0gkwma1qo5t56ebh5jvbt8ydc.png)
⇒
![x=2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/l44oth01qqbnuop6qxtvmqlzuv7kvr7xrb.png)
Therefore , Number should be 2 instead of x .