Standard deviation

Question 1

If the data is smaller, then the values will be___?

Answer 1

Closer to the average

Question 2

If the data is larger, then the values will be___?

Answer 2

More spread out / further from the average

Question 3

Step 1 -

Answer 3

Calculate the mean
ex. 6,7,8,9 = 7.5

Question 4

Step 2 -

Answer 4

Calculate the difference of each number from the mean
ex. (6 - 7.5) + (7 - 7.5) + (8 - 7.5) + (9 - 7.5) = (-1.5) + (-0.5) + 0.5 + 1.5

Question 5

Step 3 -

Answer 5

Calculate the variant by squaring all of the differences and then averaging the result
ex. (-1.5)^2 + (-0.5)^2 + (0.5)^2 + (1.5)^2 = 2.25 + 0.25 + 0.25 + 2.25 = 5/4 = 1.25

Question 6

Step 4 -

Answer 6

Calculate the standard deviation by taking the square root of the variance
ex. square root of 1.25 = 1.12

Question 7

What is the mean of these numbers? - 5, 7, 8, 10, 11

Answer 7

8.2

Question 8

In which step do you calculate the difference from the mean?

Answer 8

step 2

Question 9

True or False:
When the data is larger, the values are closer to the average

Answer 9

false; the data would be further away from the average

Question 10

True or False:
To calculate the standard deviation, you have to square the variance.

Answer 10

false; you have to take the square root of the variance