Long Descriptions for Chapter Five

Figure 5.4: A Teacher’s Dot Plot of the Data to Determine the Most Common Crayon Box Size

Figure 5.4 is a dot plot displaying information about the number of crayons found inside crayon boxes drawn from a large black bag. The vertical axis, which ranges from 0 to 12, represents the number of boxes drawn of each size. The horizontal axis, which ranges from 2 to 16, represents the number of crayons per box.

The dot plot shows:

• 2 data points of the 2-crayon box
• 6 data points of the 4-crayon box
• 13 data points of the 8-crayon box
• 6 data points of the 16-crayon box

These data suggest that boxes with eight crayons, with 13 data points, were drawn most often.

Figure 5.6: Temperature Plots to Compare Mean Values for Two Cities in California

The first graphic shows “July 1 Max Temperature for Death Valley, California (degrees Fahrenheit)” on a number line. The values shown are 115.88, 109.94, 116.60, 117.68, 118.40, 114.44, 116.42, 116.96, and 116.42. The mean result is 115.86 (indicated with a vertical blue line).

The second graphic shows “July 1 Max Temperature for Stockton, California (degrees Fahrenheit)” on a number line. The values shown are 94.28, 94.46, 93.56, 95.36, 99.68, 98.24, 95.72, 96.26, 95.36, and 95.36. The mean result is 95.83 (indicated with a vertical blue line).

Figure 5.7: Logan’s Vase Measurement Data Visualized in CODAP

The first figure shows height (in cm) and volume (in mL) on a graph. Data values are as follows:

The second figure shows height data (in cm) on a number line. Data values are the same as in the table above. The mean value is 15.1 (indicated with a vertical blue line).

Figure 5.8: Using Data to Classify Shapes

The figure shows an example of student group work described in the text. It depicts a rectangle with 10 different colored lines running across it, originating and ending at different points around the edges of the rectangle. The crossing lines create polygonal shapes (two-dimensional shapes formed with straight lines) that have different numbers of sides. Each polygonal shape within the rectangle is labeled with the number of sides it has. Underneath the figure are tally mark counts of how many shapes have three sides, four sides, five sides, six sides, seven sides, and right triangles:

Students also tallied the number of right triangles they found (5).

Figure 5.9: Comparing Distributions for Large and Small Data Sets

The left graph, “Temperature (‘Big Data’),” data values are as follows:

The right graph, “Temperature (‘Little Data’),” data values are as follows:

Figure 5.10: Comparing Random and Nonrandom Samples

The left graph shows “Temperature (Large Random Sample),” with data values as follows:

The right graph shows “Temperature (Large Nonrandom Sample),” with data values as follows:

Figure 5.11: Comparing Distributions for Large and Small Random Samples

The left side of the figure has four small tables for “Temperature (Large Samples).” They show the following data:

The right side of the figure has four small tables for “Temperature (Small Samples).” They show the following data:

Figure 5.14: The Relationship Between Sample Size and the Shape of the Sampling Distribution

The figure includes four tables showing the distribution of sample means obtained from 1,000 random samples of different sizes. The graphs are labeled (a), (b), (c), and (d), with the number of data points each one shows.

Figure “(a) 10 Datapoints” shows the following data:

Figure “(b) 50 Datapoints” shows the following data:

Figure “(c) 500 Datapoints” shows the following data:

Figure “(d) 8,000 Datapoints” shows the following data: