Using the following stem & leaf plot, find the five number summary for the data by hand. 1|2 5 2|2 4 7 3|2 4 4|2277 512 3 3 4 5 610 1 Min %3D Q1 Med : Q3 = Max %3D II

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To find the five number summary of the given data, let's first interpret and analyze the stem and leaf plot:

### Stem and Leaf Plot Explanation

- **Stem** represents the leading digit(s)
- **Leaf** represents the last digit of each number

#### Data Representation:
- **1 | 2 5** represents the numbers 12 and 15
- **2 | 2 4 7** represents the numbers 22, 24, and 27
- **3 | 2 4** represents the numbers 32 and 34
- **4 | 2 2 7 7** represents the numbers 42, 42, 47, and 47
- **5 | 2 3 3 4 5** represents the numbers 52, 53, 53, 54, and 55
- **6 | 0 1** represents the numbers 60 and 61

### Compilation of Data:
The data extracted from the plot is:
12, 15, 22, 24, 27, 32, 34, 42, 42, 47, 47, 52, 53, 53, 54, 55, 60, 61

### Five Number Summary:
1. **Minimum (Min):** The smallest number in the data set.
   - **Min = 12**

2. **First Quartile (Q1):** The median of the first half of the data.
   - Data in order: 12, 15, 22, 24, 27, 32, 34, 42, 42
   - Median of first half: (24 + 27) / 2 = 25.5
   - **Q1 = 25.5**

3. **Median (Med):** The middle number of the dataset.
   - Total numbers = 18, Middle = 9th and 10th numbers
   - Median = (42 + 47) / 2 = 44.5
   - **Med = 44.5**

4. **Third Quartile (Q3):** The median of the second half of the data.
   - Data in order: 42, 47, 47, 52, 53, 53, 54, 55, 60, 61
   -
Transcribed Image Text:To find the five number summary of the given data, let's first interpret and analyze the stem and leaf plot: ### Stem and Leaf Plot Explanation - **Stem** represents the leading digit(s) - **Leaf** represents the last digit of each number #### Data Representation: - **1 | 2 5** represents the numbers 12 and 15 - **2 | 2 4 7** represents the numbers 22, 24, and 27 - **3 | 2 4** represents the numbers 32 and 34 - **4 | 2 2 7 7** represents the numbers 42, 42, 47, and 47 - **5 | 2 3 3 4 5** represents the numbers 52, 53, 53, 54, and 55 - **6 | 0 1** represents the numbers 60 and 61 ### Compilation of Data: The data extracted from the plot is: 12, 15, 22, 24, 27, 32, 34, 42, 42, 47, 47, 52, 53, 53, 54, 55, 60, 61 ### Five Number Summary: 1. **Minimum (Min):** The smallest number in the data set. - **Min = 12** 2. **First Quartile (Q1):** The median of the first half of the data. - Data in order: 12, 15, 22, 24, 27, 32, 34, 42, 42 - Median of first half: (24 + 27) / 2 = 25.5 - **Q1 = 25.5** 3. **Median (Med):** The middle number of the dataset. - Total numbers = 18, Middle = 9th and 10th numbers - Median = (42 + 47) / 2 = 44.5 - **Med = 44.5** 4. **Third Quartile (Q3):** The median of the second half of the data. - Data in order: 42, 47, 47, 52, 53, 53, 54, 55, 60, 61 -
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