Question

M&M Mars publishes information regarding the proportions of colors of candies in each type of M&Ms (plain, peanut, pretzel, caramel, etc.). The plain type M&Msare advertised to have 60% brown candies.

Suppose that 20 students each take a random sample of 50 candies, calculate the sample proportion of brown candies, and create a single graph from the class data.

Answer each of the questions by choosing the best responses from the options below. **You will choose one response for each question from the list below.

1) What are the observational units on the graph?

2) What is the variable on the horizontal axis of the graph?

a. Each candy is an observational unit on the graph.

b. Only the brown candies are observational units on the graph.

c. Each sample proportion is an observational unit on the graph.

d.The variable on the horizontal axis of the graph is whether or not the candy is brown.

e. The variable on the horizontal axis of the graph is "sample proportion of brown candies."

f. This data cannot be graphed.

Answer 1

1)

b. Only the brown candies are observational units on the graph.

Because an observational unit is the object or entity whose characteristics are measured and here, we are measuring the characteristic (sample proportion) of brown candies.

2)

e. The variable on the horizontal axis of the graph is "sample proportion of brown candies."

On X-axis (horizontal axis), we take sample proportion of brown candies.

On Y-axis (vertical axis), we take frequency of such proportions.

Example graph:

Total frequency =Total number of students =20