Math Problem Statement
Here is a data set: 71 69 62 66 71 55 63 62 75 72 61 65 60 58 66 79 71 60 55 60 You are examining the data with a split stem-and-leaf plot. Here is the start of the plot: 5 | 558 6 | 0001223 6 | 5669 7 1 7 1 What should be entered in the second to last row of this table?
Solution
In a split stem-and-leaf plot, each stem is divided into two parts. The first part of each stem contains leaves from 0-4, and the second part contains leaves from 5-9. The row corresponding to the second part of the stem "7" (for values from 75 to 79) needs to be completed. Let's go through the data and extract the relevant values.
Data:
71, 69, 62, 66, 71, 55, 63, 62, 75, 72, 61, 65, 60, 58, 66, 79, 71, 60, 55, 60
Values in the 70s range:
- 71, 71, 71, 72, 75, 79
In the first part of the stem "7" (for 70-74), the leaves would be: 1, 1, 1, 2 (these are already in the plot).
Now, for the second part of the stem "7" (for 75-79), the leaves would be: 5, 9.
Thus, the second to last row should be:
7 | 59
This completes the split stem-and-leaf plot for the 70s.
Would you like more details or have any questions about the process?
Here are 5 related questions to extend your understanding:
- How is a split stem-and-leaf plot different from a regular stem-and-leaf plot?
- Why might you use a split stem-and-leaf plot rather than a regular one?
- What are the advantages of using stem-and-leaf plots for data visualization?
- How can you quickly identify the median value using a stem-and-leaf plot?
- How do you handle data with decimal points in a stem-and-leaf plot?
Tip: Always remember that stem-and-leaf plots are most useful for small to moderately sized data sets. For very large data sets, other visualizations like histograms may be more appropriate.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Data Visualization
Stem-and-Leaf Plot
Descriptive Statistics
Formulas
-
Theorems
-
Suitable Grade Level
Grades 7-9