Answer:
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.
