Question

The variance of 6, 8, 10, 12, 14, 16 is:

• A. 70/6
• B. 71/6
• C. 73/6
• D. 77/6

Answer 1

Answer:

A. 70/6

Solution:

Given:

6, 8, 10, 12, 14, 16

Concept used:

Variance = (x_i - x̅)²/n

Calculation:

Total of the numbers = 6 + 8 + 10 + 12 + 14 + 16

⇒ 66

Mean = $\frac{66}{6}$

⇒ 11 i.e x̅

Now,

xi	(xi - x̅)	(xi - x̅)2
6	- 5	25
8	- 3	9
10	- 1	1
12	1	1
14	3	9
16	5	25
Total		70

So, variance = $\frac{70}{6}$

∴ The variance is $\frac{70}{6}$.

∴ Option 1 is the correct answer.