Twenty-nine executives reported the number of telephone calls made during a randomly selected week as shown here. Construct a stem and leaf plot for the data and analyze the results. 22 14 12 9 54 12 16 12 14 49 10 14 8 21 37 28 36 22 9 33 58 31 41 19 3 18 25 28 52 Send data to Excel

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 81E
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### Stem-and-Leaf Plot Interactive Exercise

In this section, you will learn how to arrange data using a stem-and-leaf plot. A stem-and-leaf plot is a way to display numerical data by splitting each data point into a "stem" (the leading digit or digits) and a "leaf" (the remaining digit).

#### Instructions:
Arrange the leaves in order from smallest to largest.

#### Interactive Diagram:

Below is a table where you can organize the data:

| Stems | Leaves |
|-------|--------|
| 0     | [ ]    |
| 1     | [ ]    |
| 2     | [ ]    |
| 3     | [ ]    |
| 4     | [ ]    |
| 5     | [ ]    |

In this interactive element, you will need to click on the boxes next to each stem and input the leaves in ascending order. Once you click on a box, a small window with the label "None" appears, allowing you to deselect or reorder the leaves.

#### Tips:
- Each stem represents the tens place, and each leaf represents the ones place.
- Ensure that the leaves are ordered correctly for accurate data representation.

This exercise helps in enhancing your understanding and skills in organizing data, an essential part of statistical analysis and data interpretation.
Transcribed Image Text:### Stem-and-Leaf Plot Interactive Exercise In this section, you will learn how to arrange data using a stem-and-leaf plot. A stem-and-leaf plot is a way to display numerical data by splitting each data point into a "stem" (the leading digit or digits) and a "leaf" (the remaining digit). #### Instructions: Arrange the leaves in order from smallest to largest. #### Interactive Diagram: Below is a table where you can organize the data: | Stems | Leaves | |-------|--------| | 0 | [ ] | | 1 | [ ] | | 2 | [ ] | | 3 | [ ] | | 4 | [ ] | | 5 | [ ] | In this interactive element, you will need to click on the boxes next to each stem and input the leaves in ascending order. Once you click on a box, a small window with the label "None" appears, allowing you to deselect or reorder the leaves. #### Tips: - Each stem represents the tens place, and each leaf represents the ones place. - Ensure that the leaves are ordered correctly for accurate data representation. This exercise helps in enhancing your understanding and skills in organizing data, an essential part of statistical analysis and data interpretation.
### Data Analysis Exercise: Telephone Calls Made by Executives

**Exercise Description:**

Twenty-nine executives reported the number of telephone calls made during a randomly selected week as shown here. Construct a stem-and-leaf plot for the data and analyze the results.

#### Reported Number of Telephone Calls:
- 22, 14, 12, 9, 54, 12
- 16, 12, 14, 49, 10, 14
- 8, 21, 37, 28, 36, 22
- 9, 33, 58, 31, 41, 19
- 3, 18, 25, 28, 52
  
**Instructions:**

1. **Construct a Stem-and-Leaf Plot:**
   - **Stem-and-Leaf Plot Basics:**
     - The "stem" represents the leading digits, and the "leaf" represents the trailing digits.
     - For example, in the number 54, the stem is 5, and the leaf is 4.

2. **Analyze the Results:**
   - Identify any patterns, clusters, or outliers in the data.
   - Discuss what the plot shows about the distribution of the number of telephone calls.

**Stem-and-Leaf Plot Construction:**

1. Separate the data into stems and leaves:
   - Stems: 0, 1, 2, 3, 4, 5
   - Leaves are the trailing digits for each number.

Example of constructing the plot:
- Stem 0: 3, 8, 9, 9
- Stem 1: 0, 2, 2, 2, 4, 4, 4, 6, 8, 9
- Stem 2: 1, 2, 2, 5, 8, 8
- Stem 3: 1, 3, 6, 7
- Stem 4: 1, 9
- Stem 5: 2, 4, 8
 
                                                   Stem | Leaf
                                                   ------|------
                                                     0 | 3 8 9 9
                                                     1 | 0 2 2 2 4 4 4 6 8 9
                                                     2 | 1 2 2 5 8
Transcribed Image Text:### Data Analysis Exercise: Telephone Calls Made by Executives **Exercise Description:** Twenty-nine executives reported the number of telephone calls made during a randomly selected week as shown here. Construct a stem-and-leaf plot for the data and analyze the results. #### Reported Number of Telephone Calls: - 22, 14, 12, 9, 54, 12 - 16, 12, 14, 49, 10, 14 - 8, 21, 37, 28, 36, 22 - 9, 33, 58, 31, 41, 19 - 3, 18, 25, 28, 52 **Instructions:** 1. **Construct a Stem-and-Leaf Plot:** - **Stem-and-Leaf Plot Basics:** - The "stem" represents the leading digits, and the "leaf" represents the trailing digits. - For example, in the number 54, the stem is 5, and the leaf is 4. 2. **Analyze the Results:** - Identify any patterns, clusters, or outliers in the data. - Discuss what the plot shows about the distribution of the number of telephone calls. **Stem-and-Leaf Plot Construction:** 1. Separate the data into stems and leaves: - Stems: 0, 1, 2, 3, 4, 5 - Leaves are the trailing digits for each number. Example of constructing the plot: - Stem 0: 3, 8, 9, 9 - Stem 1: 0, 2, 2, 2, 4, 4, 4, 6, 8, 9 - Stem 2: 1, 2, 2, 5, 8, 8 - Stem 3: 1, 3, 6, 7 - Stem 4: 1, 9 - Stem 5: 2, 4, 8 Stem | Leaf ------|------ 0 | 3 8 9 9 1 | 0 2 2 2 4 4 4 6 8 9 2 | 1 2 2 5 8
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