Find the variance. Round to the nearest tenth. 6, 6, 7, 17, 20, 20

A) 6.4

B) 41.2

C) 12.7

D) 1.6

B) 41.2

41.2 to the nearest tenth.

Step-by-step explanation:

There are a total of 6 numbers.

So the mean m is (6 + 6 + 7 + 17 + 20 + 20) / 6

= 76/6

= 12.67.

Calculating x - m:

6 - 12.67 = - 6.67

6 - 12.67 = - 6.67

7 - 12.67 = - 5.67

17 - 12.67 = 4.33

20 - 12.67 = 7.33

20 - 12.67 = 7.33

Now squaring each of these we get (x - m) ^2 = 44.49, 44.49, 32.15, 18.75,

53.73, 53.73

Now the sum of these ∑ (x - m) ^2 = 247.34

So the variance = ∑ [ (x - m) ^2] / 6

= 247.34 / 6

= 41.2 to the nearest tenth.