Using the following stem & leaf plot, find the five number summary for the data by hand. 116 7 21599 3159 4|01 3 4 512 3 4 8 9 610 6 Min = Q1 = Med = Q3 = Max =

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**Stem and Leaf Plot Analysis**

**Data from the Stem & Leaf Plot:**

- Stem: 1 | Leaves: 6, 7
- Stem: 2 | Leaves: 5, 9, 9
- Stem: 3 | Leaves: 5, 9
- Stem: 4 | Leaves: 0, 1, 3, 4
- Stem: 5 | Leaves: 2, 3, 4, 8, 9
- Stem: 6 | Leaves: 0, 6

The task is to find the five-number summary for the data by hand. This includes:

- **Min:** The smallest number in the data set.
- **Q1 (First Quartile):** The median of the first half of the data.
- **Med (Median):** The middle number of the data set.
- **Q3 (Third Quartile):** The median of the second half of the data.
- **Max:** The largest number in the data set.

**Solution Steps:**

1. Convert the stem and leaf plot into a list of numbers:
   - 16, 17, 25, 29, 29, 35, 39, 40, 41, 43, 44, 52, 53, 54, 58, 59, 60, 66

2. Order the numbers (if not already ordered):
   - 16, 17, 25, 29, 29, 35, 39, 40, 41, 43, 44, 52, 53, 54, 58, 59, 60, 66

3. Identify the minimum and maximum:
   - **Min:** 16
   - **Max:** 66
   
4. Find the median (middle value):
   - There are 18 numbers. The median is the average of the 9th and 10th numbers.
   - Median = (41 + 43) / 2 = 42

5. Calculate Q1 (first quartile):
   - First half: 16, 17, 25, 29, 29, 35, 39, 40, 41
   - Q1 = 29

6. Calculate Q3 (third quartile):
   - Second half: 43,
Transcribed Image Text:**Stem and Leaf Plot Analysis** **Data from the Stem & Leaf Plot:** - Stem: 1 | Leaves: 6, 7 - Stem: 2 | Leaves: 5, 9, 9 - Stem: 3 | Leaves: 5, 9 - Stem: 4 | Leaves: 0, 1, 3, 4 - Stem: 5 | Leaves: 2, 3, 4, 8, 9 - Stem: 6 | Leaves: 0, 6 The task is to find the five-number summary for the data by hand. This includes: - **Min:** The smallest number in the data set. - **Q1 (First Quartile):** The median of the first half of the data. - **Med (Median):** The middle number of the data set. - **Q3 (Third Quartile):** The median of the second half of the data. - **Max:** The largest number in the data set. **Solution Steps:** 1. Convert the stem and leaf plot into a list of numbers: - 16, 17, 25, 29, 29, 35, 39, 40, 41, 43, 44, 52, 53, 54, 58, 59, 60, 66 2. Order the numbers (if not already ordered): - 16, 17, 25, 29, 29, 35, 39, 40, 41, 43, 44, 52, 53, 54, 58, 59, 60, 66 3. Identify the minimum and maximum: - **Min:** 16 - **Max:** 66 4. Find the median (middle value): - There are 18 numbers. The median is the average of the 9th and 10th numbers. - Median = (41 + 43) / 2 = 42 5. Calculate Q1 (first quartile): - First half: 16, 17, 25, 29, 29, 35, 39, 40, 41 - Q1 = 29 6. Calculate Q3 (third quartile): - Second half: 43,
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