Question

Scenario 3-2

The data below represent the amount of grams of carbohydrates in a serving of breakfast cereal in a sample of 11 different servings.
11 15 23 29 19 22 21 20 15 25 17
Referring to Scenario 3-2, is the carbohydrate amount in the cereal right- or left-skewed?

Answer 1

Explanation:

Given is a data that represent the amount of grams of carbohydrates in a serving of breakfast cereal in a sample of 11 different servings.

11 15 23 29 19 22 21 20 15 25 17

Skewness = 0.072413

I.e. positive or right skewed

Calculations are shown below:

x (x- mu)^3

11 -664.7146285

15 -105.6406887

23 35.05343098

29 797.3019807

19 -0.384668851

22 11.73933603

21 2.061621067

20 0.020286108

15 -105.6406887

25 146.5907609

17 -20.28543877

Mean 19.72727273 8.736482029

Variance 26.01818182

s^3 132.7135958

9.610130231

skewness 0.072412553

Formula for skewness is

`(\Sigma^n_1 (x-x_i)^3)/((n-1)s^3)`