Lesson 8: Practice Problems

Problem 1

The histogram summarizes the data on the body lengths of 143 wild bears. Describe the distribution of body lengths. Be sure to comment on shape, center, and spread.

A histogram. The horizontal axis is labeled “length in inches,” the numbers 30 through 85, in increments of 5, are indicated. On the vertical axis, the numbers 0 through 40, in increments of 10, are indicated, with tick marks midway between. The data represented are approximately: length from 35 up to 40 inches, 2; length from 40 up to 45 inches, 5; length from 45 up to 50 inches, 10; length from 50 inches up to 55 inches, 11; length from 55 up to 60 inches; 30; length from 60 up to 65 inches, 37; length from 65 up to 70 inches, 20; length from 70 up to 75 inches, 15; length from 75 to up to 80 inches, 11; length from 80 up to 85 inches, 1.

Problem 2

Which data set is more likely to produce a histogram with a symmetric distribution? Explain your reasoning.

  • Data on the number of seconds on a track of music in a pop album.

  • Data on the number of seconds spent talking on the phone yesterday by everyone in the school.

Problem 3 From Unit 6 Lesson 15

Evaluate the expression for each value of .

  1. 1

  2. 2

Problem 4

Decide if each data set might produce one or more gaps when represented by a histogram. For each data set that you think might produce gaps, briefly describe or give an example of how the values in the data set might do so.

  1. The ages of students in a sixth-grade class.

  2. The ages of people in an elementary school.

  3. The ages of people eating in a family restaurant.

  4. The ages of people who watch football.

  5. The ages of runners in a marathon.

Problem 5 From Unit 6 Lesson 7

Jada drank 12 ounces of water from her bottle. This is 60% of the water the bottle holds.

  1. Write an equation to represent this situation. Explain the meaning of any variables you use.

  2. How much water does the bottle hold?