Reteach/Retest 6.12c Dot plots, Box Plots and Stem Leaf plots

Sure! Let's go over dot plots, box plots, and stem-and-leaf plots, which are all useful ways to display and analyze data. ### 1. Dot Plots A dot plot is a simple way to visualize the distribution of a small set of data points. Each data point is represented by a dot above a number line. **How to Create a Dot Plot:** - Draw a horizontal line (the number line). - Mark the scale based on the range of your data. - For each data point, place a dot above the corresponding value on the number line. **Example:** If you have the data set: 3, 5, 2, 3, 4, 5, 5, the dot plot would look like this: ``` 2: • 3: • • 4: • 5: • • • ``` ### 2. Box Plots (Box-and-Whisker Plots) A box plot summarizes a data set using five key values: the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum. **How to Create a Box Plot:** - Order the data from least to greatest. - Find the minimum and maximum values. - Calculate the median (Q2). - Find the first quartile (Q1) and third quartile (Q3). - Draw a number line and mark the minimum, Q1, median, Q3, and maximum. - Draw a box from Q1 to Q3, and a line inside the box at the median. Extend "whiskers" from the box to the minimum and maximum values. **Example:** For the data set: 2, 3, 3, 4, 5, 5, 5, 6, 7 - Minimum = 2 - Q1 = 3 - Median (Q2) = 5 - Q3 = 5.5 - Maximum = 7 The box plot would look like this: ``` |---|---|---|---|---|---|---|---|---|---| 2 3 4 5 5.5 6 7 |---|---|---|---|---|---|---|---|---|---| ``` ### 3. Stem-and-Leaf Plots A stem-and-leaf plot is a way to display quantitative data while retaining the original data values. It separates each data point into a "stem" (the leading digit(s)) and a "leaf" (the trailing digit). **How to Create a Stem-and-Leaf Plot:** - Determine the stems (usually the leading digit(s)). - List the stems in a vertical column. - For each data point, write the leaf next to the corresponding stem. **Example:** For the data set: 23, 25, 27, 30, 31, 32, 35 - Stems: 2, 3 - Leaves for 2: 3, 5, 7 - Leaves for 3: 0, 1, 2, 5 The stem-and-leaf plot would look like this: ``` Stem | Leaf 2 | 3 5 7 3 | 0 1 2 5 ``` ### Summary - **Dot Plots** are great for small data sets and show frequency. - **Box Plots** provide a summary of the data distribution and highlight outliers. - **Stem-and-Leaf Plots** retain the original data while providing a visual representation. These plots are useful for understanding the shape, spread, and central tendency of data. If you have any specific questions or need further examples, feel free to ask!