Make a dot plot for each set of data. Compare and contrast the shape, spread, and center of the data.
Set A = {4, 5, 6, 3, 3, 2, 4, 5, 8, 2, 5, 13}
Set B = {5, 6, 4, 2, 8, 4, 5, 6, 5, 2, 8, 3, 7, 3}
To make a dot plot for each set of data, you need to follow these steps:
1. Begin by creating a number line that spans the range of values in the data sets. For Set A, the range is from 2 to 13, and for Set B, the range is from 2 to 8.
2. Mark each value from the data sets on the number line using dots. If a value appears more than once, place multiple dots above each other.
3. Arrange the dots vertically for each data set. For example, for Set A, arrange the dots vertically under the value they represent.
4. Compare the shape, spread, and center of the data sets by analyzing the dot plots.
Here's how to compare and contrast the shape, spread, and center of the data using the dot plots:
- Shape: Look at the overall pattern formed by the dots. Is it symmetric or skewed? Are there any outliers?
- Spread: Observe how widely the dots are distributed. Are they concentrated in a narrow range or spread out across a wide range? The spread of the data can be determined by the horizontal distance covered by the dots on the number line.
- Center: Identify where the bulk of the data is centered. This can be determined by looking for clusters or groups of dots that are closer together.
By examining the dot plots for Set A and Set B, you can compare and contrast the shape, spread, and center of the data to understand the characteristics of each data set.