Lesson 6: Practice Problems

Problem 1

Match histograms to dot plots so that each match represents the same data set.

  1. A bar graph with data between 5 and 30.
  2. A bar graph with data between 30 and 50.
  3. A bar graph with data between 0 and 15, 20 and 30, and 35 and 50.
  4. A bar graph with data between 20 and 50 with most data between 25 and 35.
  5. A bar graph with data between 5 and 40.
  1. A dot plot with one data point at 31 and the clustered between 34 and 47 (approximately).
  2. A dot plot with a single dot at 20, 23, 36, 41, 48 (approximately) and a cluster from 25 to 35.
  3. A dot plot with data clustered between 5 and 18 (approximately) and single dots at 21, 23, 27 (approximately).
  4. A dot plot with data at 9, clustered from 12 to 22, 26-27, and 30-36 (estimations).
  5. A dot plot with data ranging from 2 to 49.

Problem 2 From Unit 7 Lesson 12

is one vertex of a square on a coordinate plane. Name three points that could be the other vertices.

Problem 3

Here is a histogram that summarizes the lengths, in feet, of a group of adult female sharks. Select all the statements that are true, according to the histogram.

A histogram: The horizontal axis is labeled “length in feet” and the numbers 13 through 17.5, in increments of 0.5, are indicated. On the vertical axis the numbers 0 through 10, in increments of 2, are indicated. There are tick marks midway between. The data represented by the bars are as follows: Length from 13 up to 13.5, 1 Length from 13.5 up to 14, 1 Length from 14 up to 14.5 , 4 Length from 14.5 up to 15, 10 Length from 15 up to 15.5, 10 Length from 15.5 up to 16, 9 Length from 16 up to 16.5, 10 Length from 16.5 up to 17, 4 Length from 17 up to 17.5, 1

  1. A total of 9 sharks were measured.

  2. A total of 50 sharks were measured.

  3. The longest shark that was measured was 10 feet long.

  4. Most of the sharks that were measured were over 16 feet long.

  5. Two of the sharks that were measured were less than 14 feet long.

Problem 4

This table shows the times, in minutes, it took 40 sixth-grade students to run 1 mile.

Draw a histogram for the information in the table.

time (minutes)

frequency

4 to less than 6

6 to less than 8

8 to less than 10

10 to less than 12

12 to less than 14

14 to less than 16