What do you notice? What do you wonder?

1. Andre’s class measures the length of some colored pencils to the nearest inch. Here is the class data:

   

   1. Plot the colored-pencil data on the line plot.

      

   2. Which colored-pencil length is the most common in the data set?
   3. Write 2 new questions that could be answered using the line plot data.

2. Next, Andre’s class measures their colored pencils to the nearest inch. Here is the class data:

   1. Plot the colored-pencil data on the line plot.

      

   2. Which colored-pencil length is the most common in the line plot?
   3. Why did some colored-pencil lengths change on this line plot?
   4. What is the difference between the lengths of the longest colored pencil and the shortest colored pencil? Show your reasoning.

The line plot shows the data Noah collected on a set of colored pencils.

Use the line plot to tell if each of the following statements is true or false. Explain or show your reasoning. For each false statement, correct it so that it is true.

1. Noah measures the colored pencils to the nearest inch.

2. There are 5 pencils that are inches long.

3. The shortest pencil is inches long.

4. The 3 longest pencils are exactly 5 inches longer than the shortest pencil.

5. If Noah removes the shortest pencil from the collection, the difference between the longest and shortest pencils is 3 inches.

If You Have Time

Noah wants to create a collection of at least 10 pencils where the difference between the longest and shortest colored pencils is no more than inches. 

Is that possible? If so, which pencils should he remove from his collection?