Question

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

b. Use the information found in Step 1 to draw side by side boxplots, comparing the number 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.

Plain M&M:

(14, 14, 15, 16, 15, 14, 16, 15, 13, 14, 14, 14, 14, 14, 14, 15, 14, 16, 14, 14, 15, 16, 14, 15, 11, 15, 15, 15, 13, 15, 13, 16, 14, 14, 14, 15, 14, 15, 15, 14, 15, 15, 15, 14, 16, 13)

Peanut M&M:

(8, 8, 7, 6, 8, 7, 7, 8, 7, 6, 6, 7, 7, 7, 7, 8, 7, 8, 9, 7, 7, 8, 7, 7, 6, 7, 7, 8, 7, 7, 7, 7, 7, 6, 7, 8, 7, 7, 7, 5, 7, 7, 7, 7, 8, 7, 7, 8, 7, 7)

Answer 1

a. Find the mean, standard deviation, and five number summaries for each type of M&M (plain and peanut) for the number of M&Ms in each bag.
Put the data in excel and using the formulas shown, find the mean, standard deviation and five number summaries.

b. Use the information found in Step 1 to draw side by side boxplots, comparing the number of M&Ms in each bag of plain and peanut M&Ms. Discuss the shape of each.

1. highlight the data and go to insert a chart.

2. Click on box and wishiker to obtain the boxplot.

Both the Plain and Peanut M&M are normal distributed as the mean, median and mode are same. However in Plain M&M there is one outlier on the lower end,
Whereas in Peanut M&M there are four outliers, two on the upper and two on the lower.

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

The mean for plain M&M is much higher than that of Peanut M&M but the standard deviation is almost the same.
Both the dataset are almost normally distributed.
From the plot we see that peanut M&M have a higher number of an outlier than plain M&M
The range in both the case is almost the same.