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Exploring Statistics through Pennies and Raisins

In this engaging MAT 312 class activity, students will analyze data by sampling 16 pennies to calculate their average age. They will apply statistical concepts to determine the unusual occurrence of finding 174 raisins in a 20-ounce box of Kick-a-Poo Raisin Bran, compared to the average of 143. The class will delve into visual and numerical representations of data and explore the characteristics of one-variable and two-variable data sets. Students will collaborate in small groups to conduct data analysis and prepare for future assignments, enhancing their understanding of statistics.

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Exploring Statistics through Pennies and Raisins

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  1. . . . PENNIES for theAGES. . . • Push the “Sample More Data” button on the screen and read the average age of a sample of 16 pennies taken from the jar. • Note the horizontal and vertical scales on the grid here and then record that (rounded) average age using a properly scaled X. MAT 312

  2. Suppose the Kick-a-Poo Milling Company made this claim about their Raisin Bran: In our 20-ounce box of raisin bran, we average 143 raisins per box. Now suppose you just opened a 20-ounce box of Kick-a-Poo Raisin Bran and accurately counted 174 raisins. Would this number of raisins be a rare occurrence? Would it seem unusual to you? Write a sentence to explain your response. MAT 312

  3. Prob & Stat (MAT 312)Dr. Day Tuesday February 25, 2014 • Grab 16 Pennies at Random then Calculateand Plot Their Average Age • Forming New Small Groups: Random Group Generator • Return to the Raisins Question • In-Class Small-Group Data analysis • Shapes of 1-Variables • 2-Variable Data Sets • Characteristics • Visual and Numerical Representations • Why Explore and Analyze 2-Variable Data Sets? • Assignment for Next Time MAT 312

  4. Raisin-Count Project • Collect Data: Tally the Raising Counts from Snack-Size Boxes of Raisins • Organize the Data: Create Visual and Numerical Representations of the Data • Describe the Distribution: Write a concise paragraph to describe the distribution of the Raisin-Count Data, using the Information generated in the previous Step. • Provide a two-to-three sentence response to this question: • Names of Group Members: MAT 312

  5. Normal Distribution: Empirical Rule MAT 312

  6. MAT 312

  7. MAT 312

  8. Couples’ Ages at Marriage MAT 312

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  10. MAT 312

  11. Assignments • Return Test #1 with Comments • Read Chapter 4 • Assignment #4: Scatter Plot of Height vsArm Span MAT 312

  12. Representing Data MAT 312

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