Math Problem Statement
Here is a data set:
39
23
33
11
22
19
21
43
25
35
27
27
24
14
20
10
22
37
42
46
11
15
20
30
18
17
23
27
25
26
You are examining the data with a stem-and-leaf plot. Here is the start of the plot. Finish the plot. 1# | 01145789 2# | 00122334556777 3# | 03579 4# |
Solution
To complete the stem-and-leaf plot, we need to organize the data as follows:
- First digit represents the "stem" (the tens place).
- Second digit represents the "leaf" (the ones place).
Step-by-step breakdown of the data:
The data set you provided is:
39, 23, 33, 11, 22, 19, 21, 43, 25, 35, 27, 27, 24, 14, 20, 10, 22, 37, 42, 46, 11, 15, 20, 30, 18, 17, 23, 27, 25, 26
Sorting the data:
Sorted data:
10, 11, 11, 14, 15, 17, 18, 19, 20, 20, 21, 22, 22, 23, 23, 24, 25, 25, 26, 27, 27, 27, 30, 33, 35, 37, 39, 42, 43, 46
Now, let’s break it down for the stem-and-leaf plot.
- 10's: 10, 11, 11 (Stem: 1 | Leaves: 0, 1, 1)
- 20's: 21, 22, 22, 23, 23, 24, 25, 25, 26, 27, 27, 27 (Stem: 2 | Leaves: 1, 2, 2, 3, 3, 4, 5, 5, 6, 7, 7, 7)
- 30's: 30, 33, 35, 37, 39 (Stem: 3 | Leaves: 0, 3, 5, 7, 9)
- 40's: 42, 43, 46 (Stem: 4 | Leaves: 2, 3, 6)
Final Stem-and-Leaf Plot:
1# | 011
2# | 122233445677
3# | 03579
4# | 236
This completes the stem-and-leaf plot!
Would you like to dive into any other statistical concepts or need more details? Here are some related questions:
- How do you find the mean, median, and mode from a stem-and-leaf plot?
- What is the significance of the "stem" and "leaf" in organizing the data?
- How can we use a stem-and-leaf plot to analyze the distribution of a data set?
- How can you create a box plot based on the data shown in the stem-and-leaf plot?
- What is the difference between a histogram and a stem-and-leaf plot?
Tip: Always double-check that your stems are in increasing order (from left to right), which makes it easier to interpret the plot.
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Math Problem Analysis
Mathematical Concepts
Statistics
Data Visualization
Stem-and-Leaf Plot
Formulas
-
Theorems
-
Suitable Grade Level
Grades 5-7