The Lesson Activity will help you meet these educational goals:

Content Knowledge—You will recognize statistical questions and examine the habits of data collected to answer them.
Mathematical Practices—You will construct viable arguments and analyze the reasoning of others.
STEM—You will grow in your understanding of mathematics as a creative human activity.
21st Century Skills—You will use critical-thinking and problem-solving skills and collaborate with others.
Directions
Read the instructions for this self-checked activity. Type in your response to each question, and check your answers. At the end of the activity, write a brief evaluation of your work.

Activity
Part A

For his class survey, Walden chose the question, How many people live in your home, including yourself? He asked his friend Drake to help him with the survey. Walden asked 10 students in his class the question, and Drake posed the same question to 10 more students in their class.

Based on the responses, they wrote these data sets:

Walden’s data set: 2, 2, 2, 3, 3, 3, 3, 4, 4, 4

Drake’s data set: 3, 3, 4, 4, 4, 4, 5, 6, 7, 9

Question 1

Compare the two data sets. Do they have the same center, or is the center of Walden’s data set greater or less than the center of Drake’s data set?


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Question 2
How does the spread of Walden’s data set compare with the spread of Drake’s data set?


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Question 3
Predict the overall shape of the distribution of the two data sets. Will the graphs of the two data sets be skewed to the left, skewed to the right, symmetrical, or uniform?


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Question 4
Are there any outliers in the data sets? If there are outliers, do they lie at the lower end or at the higher end of the data sets?


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