Question

2. The mean of x, x + 2, x + 4 and x + 6 is 20. Find x. (a) 25 (b) 17 (c) 14 (d) 16​

Answer 1

b) 17 ✓

Step-by-step explanation is given in above image.

Answer 2

Answer:

b) If the mean of x, x + 2, x + 4 and x + 6 is 20, then  x is 17.

Step-by-step explanation:

The mean of x, x + 2, x + 4 and x + 6 is 20.

Mean = {Sum of Observation} ÷ {Total numbers of Observations}.

$\frac{(x ) + ( x+ 2) + (x + 4) + (x + 6)}{4} = 20\\ \frac{x+ x + 2 + x + 4 + x + 6}{4} = 20\\ 4x + 12 = 80\\ 4x = 80 - 12 \\ 4x = 68\\ x =17$