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.

2-Way Table Frequencies- Open Middle Problem

Directions: Using the numbers 1 to 9, fill in the boxes to create a 2-way frequency table that follows the following guidelines (you may only us a number once):

1. The total number of kids interviewed is 242.
2. The number of kids who like both superheroes is half the number of kids who like neither.
3. Superman is the most popular among the kids interviewed.

What percent of the kids like both superheroes?

What percent of the kids dislike both superheroes?

How much more popular is Superman than Captain America?

Box Plots 2- Open Middle Problem

Directions: Using the integers 1 to 9, create a data set of 6 or more values that generates the same quartiles as {1,3,3,7,9}, but with a Median of 6 instead.  You may use a number more than once.

What patterns did you notice while working on this problem?

What strategies did you theorize you needed?

Were any of them solutions?

What strategy  did you find?

Can this strategy be used to change Q1 or Q3?

What if your data set was to only have 5 numbers?

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.

Insurance Rates- Expected Value

Consider the following insurance quotes:

If you plan on only having once accident in the next 5 years, with a damage total of \$2,000, Which policy is better for you?

Is there an amount of damages where neither policy was the better deal? (That after 5 years, you would end up paying the same amount of money)

Create a statement that demonstrates which policy is the best deal over 5 years.