# 2- Way Frequency Table- Open Middle Problem

Directions: Using the digits 1 to 9, at most once each, fill in the boxes in this two way frequency table to make the statements true. 1. Students were four times as likely to wear low athletic shoes than high casual shoes

2. Three-sevenths of the students who wear low shoes wear casual ones.

3. More students wore athletic high tops than casual shoes

Other Questions:

How many students were surveyed?

Can you find the probability that a student is wearing any of the shoe choices?

What does this data tell you?

# Line of Best Fit- Open Middle Problem

Directions: Using the digits 0 to 7, at most once each time, fill in the blanks to create a scatter plot with line of best fit y= 1/2x + 4.

(___ , ___) (___ , ___) (___ , ___) (___ , ___) # Bimodal Histogram- Open Middle Problem

Directions: Using the integers 1 to 9, create a data list that produces the following graph.  (You may use an integer more than once) Are there any other data lists that produce the same graph?  Provide an example.

# Skewed Left Histogram- Open Middle Problem

Directions: Using the integers 1 to 9, create a data list that produces the following graph.  (You may use an integer more than once) Are there any other data lists that produce the same graph?  Provide an example.

# Skewed Right Histograms- Open Middle Problem

Directions: Using the integers 1 to 9, create a data list that produces the following graph.  (You may use an integer more than once) Are there any other data lists that produce the same graph?  Provide an example.

# Symmetric Histograms- Open Middle Problem

Directions: Using the integers 1 to 9, create a data list that produces the following graph.  (You may use an integer more than once) Are there any other data lists that produce the same graph?  Provide an example.

# Box Plots- Open Middle Problem

Directions: Using the integers 0 to 9, create a data set that will produce the following Box Plot.  You may use the numbers more than once. What is the least amount of points you need to create the graph?

What is the greatest amount of points you need to create the graph?

Can you have the same amount of points but different values?  (Could 1,1,3,3,5,5,7,7,9,9 product the same box plot as 1,1,3,4,5,5,6,7,9,9?) If so, provide an example.