Lesson 1: Practice Problems

Problem 1

Tyler asked 10 students at his school how much time in minutes it takes them to get from home to school. Determine if each of these dot plots could represent the data Tyler collected. Explain your reasoning for each dot plot.

  1. A dot plot ranging from 1 to 20 with data as follows: 1-4, 7, 9, 11, 14-15,17, 19 no data, 5-6, 8, 12-13, 16, 18, 20 one dot. At 10 there are 2 dots.
  2. A dot plot ranging from 20 to 300 with data as follows: 20-60, 100, 140, 160, 220, 260, 280 no data. 80, 90, 120, 180, 200, 240, 270, 300 one dot. 150 two dots.
  3. A dot plot ranging from -10 to 20 with data as follows: -5 (1), 5-6(1), 8(1), 10 (3), 12-13 (1), 18(1). No other data.
  4. A dot plot ranging from 1 to 20 with one dot at 5, 6, 10, 16, 18, and 20 and no other data.

Problem 2

Here is a list of questions. For each question, decide if the responses will produce numerical data or categorical data and give two possible responses.

  1. What is your favorite breakfast food?

  2. How did you get to school this morning?

  3. How many different teachers do you have?

  4. What is the last thing you ate or drank?

  5. How many minutes did it take you to get ready this morning—from waking up to leaving for school?

Problem 3

  1. Write two questions that you could ask the students in your class that would result in categorical data. For each question, explain how you know that responses to it would produce categorical data.

  2. Write two questions that you could ask the students in your class that would result in numerical data. For each question, explain how you know that responses to it would produce numerical data.

Problem 4 From Unit 7 Lesson 15

Triangle has vertices , and .

  1. Plot the triangle in the coordinate plane and label the vertices.

    A coordinate plane with the origin labeled "O." The x-axis has the numbers negative 7 through 7 indicated. The y-axis has the numbers negative 5 through 5 indicated.

  2. Name the coordinates of 3 points that are inside the triangle.

  3. What is the area of the triangle? Show your reasoning.