(a) Find the five-number summary, and (b) draw a box-and-whisker plot of the data. 488629879 69526 29 8779 0 (a) Min=| | (Simplify your answer.)

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### Five-Number Summary and Box-and-Whisker Plot

In this exercise, we will find the five-number summary and create a box-and-whisker plot for the given data set.

#### Question:
(a) Find the five-number summary, and (b) draw a box-and-whisker plot of the data.

#### Data:
\[ 4, 8, 8, 6, 2, 9, 7, 9, 6, 5, 2, 6, 2, 9, 8, 7, 7, 9 \]

##### Steps:
1. **Arrange the Data in Ascending Order:**
\[ 2, 2, 2, 4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 9 \]

2. **Find the Min (Minimum):**

##### Answer Box:
\[ \text{Min} = 2 \]

3. **Find the Q1 (First Quartile):**
\[ \text{Q1} = 6 \]

4. **Find the Median (Second Quartile or Q2):**
\[ \text{Median} = 7 \]

5. **Find the Q3 (Third Quartile):**
\[ \text{Q3} = 8 \]

6. **Find the Max (Maximum):**
\[ \text{Max} = 9 \]

### Five-Number Summary:
- **Minimum (Min):** 2
- **First Quartile (Q1):** 6
- **Median (Q2):** 7
- **Third Quartile (Q3):** 8
- **Maximum (Max):** 9

### Box-and-Whisker Plot Explanation:
The box-and-whisker plot is a way of visually displaying the five-number summary. It consists of a box divided into two parts by the median, with "whiskers" that extend to the minimum and maximum values.

To create the plot:
1. **Draw a number line** that includes the range of the data.
2. **Draw a rectangular box** from Q1 (6) to Q3 (8).
3. **Draw a line** inside the box at the median (7).
4. **Draw whisk
Transcribed Image Text:### Five-Number Summary and Box-and-Whisker Plot In this exercise, we will find the five-number summary and create a box-and-whisker plot for the given data set. #### Question: (a) Find the five-number summary, and (b) draw a box-and-whisker plot of the data. #### Data: \[ 4, 8, 8, 6, 2, 9, 7, 9, 6, 5, 2, 6, 2, 9, 8, 7, 7, 9 \] ##### Steps: 1. **Arrange the Data in Ascending Order:** \[ 2, 2, 2, 4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 9 \] 2. **Find the Min (Minimum):** ##### Answer Box: \[ \text{Min} = 2 \] 3. **Find the Q1 (First Quartile):** \[ \text{Q1} = 6 \] 4. **Find the Median (Second Quartile or Q2):** \[ \text{Median} = 7 \] 5. **Find the Q3 (Third Quartile):** \[ \text{Q3} = 8 \] 6. **Find the Max (Maximum):** \[ \text{Max} = 9 \] ### Five-Number Summary: - **Minimum (Min):** 2 - **First Quartile (Q1):** 6 - **Median (Q2):** 7 - **Third Quartile (Q3):** 8 - **Maximum (Max):** 9 ### Box-and-Whisker Plot Explanation: The box-and-whisker plot is a way of visually displaying the five-number summary. It consists of a box divided into two parts by the median, with "whiskers" that extend to the minimum and maximum values. To create the plot: 1. **Draw a number line** that includes the range of the data. 2. **Draw a rectangular box** from Q1 (6) to Q3 (8). 3. **Draw a line** inside the box at the median (7). 4. **Draw whisk
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