Question

The average of seven consecutive numbers is 95. Find the middle number in the series of seven consecutive numbers.

• A. 98
• B. 96
• C. 92
• D. 95

Answer 1

Answer:

D. 95

For seven consecutive numbers, the average is always equal to the middle number.

Let the seven consecutive numbers be:
$x-3,; x-2,; x-1,; x,; x+1,; x+2,; x+3$

Their average:
$\frac{(x-3)+(x-2)+(x-1)+x+(x+1)+(x+2)+(x+3)}{7}$

The negative and positive numbers cancel out:
$= \frac{7x}{7} = x$

Given average = 95

So,

$x = 95$

The middle number is 95.