Question

a. Find the mean, standard deviation, and five number summaries for each type of M&M (plain and peanut) for the weights of M&Ms in each bag.

b. Use the information found in part A to draw side by side boxplots, comparing the weights of M&Ms in each bag of plain and peanut M&Ms. Discuss the shape of each.

c. Write a summary paragraph about your data. Make at least 4 different observations about your data and/or boxplots using your statistical knowledge.

Sum Total Weight of All the Bags of Peanut M&Ms: 921 grams

(18g, 21g, 19g, 17g, 18g, 21g, 18g, 18g, 21g, 17g, 19g, 16g, 20g, 20g, 17g, 17g, 18g, 16g, 20g, 18g, 19g, 20g, 20g, 18g, 21g, 19g, 17g, 18g, 17g, 19g, 16g, 19g, 19g, 19g, 17g, 20g, 18g, 18g, 17g, 19g, 19g, 18g, 18g, 18g, 17g, 17g, 19g, 20g, 18g, 18g)

Sum Total Weight of All the Bags of Plain M&Ms: 601 grams

(13g, 13g, 12g, 14g, 14g, 14g, 13g, 13g, 12g, 12g, 13g, 13g, 13g, 14g, 13g, 14g, 12g, 11g, 12g, 12g, 13g, 10g, 15g, 14g, 16g, 14g, 15g, 13g, 12g, 13g, 14g, 13g, 13g, 13g, 11g, 12g, 12g, 14g, 13g, 13g, 14g, 14g, 12g, 13g, 13g, 15g)

Answer 1

Peanut:

Shape of the Peanut is skewed right

Plain: Shape of the Plain is symmetric

Make at least 4 different observations about your data and/or boxplots using your statistical knowledge.

1. Minimum value of both peanut and plains are different

2. sample size is also different

3.Average has huge different between peanut and plain

4. Shape of the distributions are different

Formula Ref: