MS 104Name______

Class______Date______

Benchmark 2: Thinking with Mathematical Models Performance Task

Part 1: Data collection

Create your own survey! You will be asking your classmates a question, recording the data into a table, creating a scatterplot and two-way table, and analyzing the results. Hopefully you will find out something new and interesting about your class!

Question:

Your question must compare two things that can be measured. It might help to ask two different questions that result in a numerical answer. Here are my questions:

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Table: Record your results in the table below. Don’t forget to label it!

Name of Person Asked

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1:

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2:

Which column will be the independent variable? Why?

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Which column will be the dependent variable? Why?

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Part 2: Scatterplot

1)Create a scatterplot on the grid below. Don’t forget to give it a title and label the axes!

2)Draw a line of best fit. What makes your line a “good” best fit line?

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3)Are there any outliers? What makes them outliers?

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4)What is the equation of your line?

Slope:______Y-intercept:______Equation:______

5)Make one prediction about your data using your best fit line.

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6)Describe the relationship between your two variables. What generalizations can you make?

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7)What correlation does your data have? How do you know?

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Part 3: Two way tables

8)Divide your data into four categories, like boys and girls, 13 or 14 year olds, and your survey questions. Set up a Two-Way table with the results. The totals should add up to the number of people you surveyed.

Totals
Totals

9)Use your two-way table to make one observation about your data.

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Congratulations on completing your survey.Tell the world what you’ve learned!

10)Three interesting things I want to share with the class:

a) ______

b)______

c) ______

Part 4:Bird’s Eggs: Reading and interpreting a scatter plot.

This scatter plot shows the lengths and the widths of the eggs of some American birds.

11) A biologist measured a sample of one hundred Mallard duck eggs and found they had an average length of 57.8 millimeters and average width of 41.6 millimeters. Use an X to mark a point that represents this on the scatter plot.

12) What does the graph show about the connection between the lengths of bird’s eggs and their widths?

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13)Another sample of similar birds has eggs with a length of 35 millimeters on average. If these birds follow the trend in the scatter plot, about what width would you expect these eggs to be, on average?

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14) Describe the differences in shape of the eggs C and D.

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15) Which of the eggs A, B, C, D, or E has the greatest ratio of length to width? Explain how you decided.

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