Here are four questions about the population of Alaska. 

Describe the questions as precisely as you can.

1. In general, at what age do Alaska residents retire?
2. At what age can Alaskans vote?
3. What is the age difference between the youngest and oldest Alaska residents with a full-time job?
4. Which age group is the largest part of the population: 18 years or younger, 19–25 years, 25–34 years, 35–44 years, 45–54 years, 55–64 years, or 65 years or older?

An earthworm farmer sets up several containers of a certain species of earthworms so that he can learn about their lengths. The lengths of the earthworms provide information about their ages. The farmer measures the lengths, in millimeters, of 25 earthworms in one of the containers.

1. Using a ruler, draw a line segment for each length:

   • 20 millimeters

   • 40 millimeters

   • 60 millimeters

   • 80 millimeters

   • 100 millimeters

2. Here are the lengths, in millimeters, of the 25 earthworms.

   • 6
   • 11
   • 18
   • 19
   • 20
   • 23
   • 23
   • 25
   • 25
   • 26
   • 27
   • 27
   • 28
   • 29
   • 32
   • 33
   • 41
   • 42
   • 48
   • 52
   • 54
   • 59
   • 60
   • 77
   • 93

   Complete the table for the lengths of the 25 earthworms.

   length	frequency
   0 millimeters to less than 20 millimeters
   20 millimeters to less than 40 millimeters
   40 millimeters to less than 60 millimeters
   60 millimeters to less than 80 millimeters
   80 millimeters to less than 100 millimeters

3. Use the grid and the information in the table to draw a histogram for the worm length data. Be sure to label the axes of your histogram.

   

4. Based on the histogram, what value could be given as the center as a typical length for these 25 earthworms? Explain how you know.

5. Write 1–2 sentences to describe the spread of the data. Do most of the worms have a length that is close to your estimate of a typical length, or are they very different in length?

Professional basketball players tend to be taller than professional baseball players.

Here are two histograms that show height distributions of 50 professional baseball players and 50 professional basketball players.

1. Describe the distribution of each histogram. Comment on the center and spread in your description.
2. Decide which histogram shows the heights of baseball players and which shows the heights of basketball players. Be prepared to explain your reasoning

A histogram, height in inches, 66 through 90 by twos.  Beginning with 70 up to but not including 72, height of bar for each interval is 1, 0, 4, 12, 10, 12, 4, 2, 0, 1. 

A histogram, height in inches, 66 through 90 by twos. Beginning with 66 up to but not including 68,  height of bar for each interval is 2, 3, 14, 19, 7, 5, 1.