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 .

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.