Question

Bivariate Data problem. Image attached.

A. 5.967
B. 6.671
C. 9.352
D. 9.338

Answer 1

A

Explanation:

`s_x` is the standard deviation of x.

The standard deviation is gotten by:

1. find the average of x-values (add up all the values and divide by number of numbers, which is 5)

2. subtract the average, x bar, from each of the values, square it, and add up the difference

3. Divide that final answer by n, which is 5

4. Take the square root of the answer

Now, let's find the average (x bar):

x bar =
`(2+6+9+14+19)/(5)=10`

Doing steps 2 & 3 together:

`((2-10)^2+(6-10)^2+(9-10)^2+(14-10)^2+(19-10)^2)/(5)\\=35.6`

Doing step 4:

`√(35.6) =5.967`

Correct answer is A