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:

  1. First digit represents the "stem" (the tens place).
  2. 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:

  1. How do you find the mean, median, and mode from a stem-and-leaf plot?
  2. What is the significance of the "stem" and "leaf" in organizing the data?
  3. How can we use a stem-and-leaf plot to analyze the distribution of a data set?
  4. How can you create a box plot based on the data shown in the stem-and-leaf plot?
  5. 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