Question

display the accompanying data in a dot plot. describe the differences in how the stem - and - leaf plot and the dot plot show patterns in the data. click the icon to view the data. construct a dot plot. choose the correct graph below. a. graph a b. graph b c. graph c d. graph d describe the differences between the stem - and - leaf plot and the dot plot in how they present data. the stem - and - leaf plot shows that dropdown are dropdown. the dot plot shows that the values dropdown occur the most often, with box occurring the most frequently. stem - and - leaf plot camcorder screen sizes (in inches) 1 | 5 1 | 2 1 2 | 5 5 5 5 5 5 5 5 5 5 3 | 0 0 0 0 0 1 1 3 | key: 1 | 5 = 1.5

Explanation:

Step1: Analyze Stem - Leaf Plot

The stem - leaf plot for camcorder screen sizes (key \(1|5 = 1.5\)) has stems (whole number parts) and leaves (decimal parts). Let's list the data:

• Stem 1: Leaf 5 → \(1.5\)
• Stem 2: Leaf 1 → \(2.1\); Leaves 5 (ten times) → \(2.5\) (ten times)
• Stem 3: Leaves 0 (five times), 1 (two times) → \(3.0\) (five times), \(3.1\) (two times)
• Stem 3 (next, maybe typo? But from the plot, the main data around 2.5, 3.0, etc.

Step2: Analyze Dot Plot Options

The dot plot should have values on the x - axis corresponding to the screen sizes. The data has many values around \(2.5\), \(3.0\) etc. Looking at the options, Option B has the dot concentration around the value corresponding to the stem - leaf data (e.g., the peak around the value where most dots are, matching the frequency from stem - leaf: many \(2.5\)s, then \(3.0\)s). The x - axis scale in B (0 - 4, with marks at 1, 2, 3, 4) and the dot distribution matches the stem - leaf data (more dots around 2.5 - 3.0 range).

Step3: Describe Differences

• Stem - leaf plot: Shows individual data points (leaves) per stem, so we can see the exact values (e.g., how many \(2.5\)s, \(3.0\)s) by counting leaves. It groups data by stem (whole number part), so we can see the distribution by stem.
• Dot plot: Shows the frequency of each value as dots, so we can visually see the peak (most frequent value) more easily. From the data, \(2.5\) (from stem - leaf, ten times) and \(3.0\) (five times) are common, with \(2.5\) occurring most often.

For the dot plot choice, the correct graph is B as it matches the data distribution (more dots around the values with high frequency from stem - leaf).

Answer:

The correct dot plot is B. The stem - and - leaf plot shows that data values are grouped by stem (whole number part) with leaves (decimal part) showing individual values. The dot plot shows that the values around \(2.5\) and \(3.0\) occur the most often, with \(2.5\) occurring the most frequently. (For the dot plot choice: B)