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Get out the Assignment from Yesterday and have questions ready!

Get out the Assignment from Yesterday and have questions ready!. April 17 th , 2013. Investigation: Pencil Length. In this investigation you’ll explore the differences between discrete and continuous random variables . Step 1 Create a Frequency Distribution for the pencil length data above.

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Get out the Assignment from Yesterday and have questions ready!

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  1. Get out the Assignment from Yesterday and have questions ready!

  2. April 17th, 2013 Investigation: Pencil Length

  3. In this investigation you’ll explore the differences between discrete and continuous random variables.

  4. Step 1 Create a Frequency Distribution for the pencil length data above. Pencil Length Tallies FrequencyProbability (Step 3)

  5. Step 2 Using the pencil length data above create a pencil length histogram. Total Number of Pencils = ______________ Range of Data = ______________________ Class Interval = ____________ Class Limits = _______________________ Area of the Histogram = _______________

  6. Step 3 Divide the number of pencils in each bin (class) by the total number of pencils (use the table is Step 1). This is called probability. Make a new histogram using these quotients as the values on the y-axis. This histogram is called a relative frequency histogram. Does the area of your histogram = 1, Why must this be true? _________________ ________________________________________________________________________ Imagine doing a very complete and precise survey of all the pencils in the world. Assume that their distribution is about the same as the distribution of pencils in your sample. Also assume that you use infinitely many very narrow bins. What will this histogram look like? The continuous curve you drew to represent all the pencils in the world is called a probability distribution.

  7. Step 4 Estimate the areas of the various regions between the curve and the x-axis. Let x represent pencil length. a. _________________ b. _________________ • _________________ • _________________

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