Question

If the arithmetic mean of 8, 4, x, 6, 2, 7 is 5, then find the value of x.

Answer 1

Answer:

x = 3

Step-by-step explanation:

$\frac{8 + 4 + x + 6 + 2 + 7}{6} = 5 \\ \\ \frac{27 + x}{6} = 5 \\ \\ 27 + x = 5 \times 6 \\ \\ 27 + x = 30 \\ \\ x = 30 - 27 \\ \\ x = 3$

Verify:

$\frac{8 + 4 + 3 + 6 + 2 + 7}{6} = 5 \\ \\ \frac{30}{6} = 5$