Determine the standard deviation (c) by filling in the table as part of your calculation.
consider the following data 6, 6, 10, 8, 10, 8
x
-
(x
- x 2
a. 1.63
b. 0.47
0.94
1.15
d.
select the best answer from the choices provided

The standard deviation

Step-by-step explanation:

Here, 6 values are given. Let the variable be X

Let, the values be where, i = 1(1)6

or i = 1 , 2, 3, 4, 5, 6 .

Here, the arithmetic mean is,

= ( 6 + 6 + 10 + 8 + 10 + 8)/6

= 8

Now,

= ( 36 + 36 + 100 + 64 + 100 + 64)/6

so, variance of X

= 2.67

so, standard deviation of X,

Hence, here, the answer is, 1.63 .

Draw a diagram to illustrate the problem as shown below.

Calculate the volume of the empty cone.
V₁ = (1/3)π*(6 in)²*(10 in) = 120π in³

Calculate the volume of the sphere.
V₂ = (4/3)π*(1.5 in)³ = 4.5π in³

The volume that can be filled with flavored ice is 
V = V₁ - V₂ = 115.5π in³ = 362.85 in³

Th volume is 115.5π in³ or 362.9 in³ (nearest tenth)