Fourteen different second-year medical students at a hospital measured the blood pressure of the same person. The systolic readings (mm Hg) are listed below. Use the given data to construct a boxplot and identify the 5-number summary. 126 138 122 135 120 125 The 5-number summary is..., and all in mm Hg. (Use ascending order. Type integers or decimals. Do not round.) 138 130 127 134 126 140 126 150 U

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**Analyzing Blood Pressure Data: A Case Study**

Fourteen different second-year medical students at a hospital measured the blood pressure of the same person. The systolic readings (in mm Hg) are listed below. Use the given data to construct a boxplot and identify the 5-number summary.

**Systolic Readings (mm Hg):**
126, 122, 135, 138, 120, 125, 138, 130, 127, 134, 126, 140, 126, 150

### Calculation of the 5-Number Summary

**1. Minimum:** The smallest value in the data set.
**2. Q1 (First Quartile):** The median of the first half of the data.
**3. Median (Q2):** The middle value of the data set.
**4. Q3 (Third Quartile):** The median of the second half of the data.
**5. Maximum:** The largest value in the data set.

### Detailed Steps

1. **Arrange the Data in Ascending Order:**
   - 120, 122, 125, 126, 126, 126, 127, 130, 134, 135, 138, 138, 140, 150

2. **Identify the Minimum Value:**
   - Minimum = 120 mm Hg

3. **Identify the Maximum Value:**
   - Maximum = 150 mm Hg

4. **Median (Q2):**
   - Since there are 14 values, the median will be the average of the 7th and 8th values:
   - Median = (127 + 130) / 2 = 128.5 mm Hg

5. **First Quartile (Q1):**
   - For the first half of the data: 120, 122, 125, 126, 126, 126, 127
   - Median of this half (7 values, so the 4th value) = 126 mm Hg

6. **Third Quartile (Q3):**
   - For the second half of the data: 130, 134, 135, 138, 138, 140, 150
   - Median of this half (7 values, so the 4th value) = 138 mm Hg

### 5-Number Summary (mm Hg):
-
Transcribed Image Text:**Analyzing Blood Pressure Data: A Case Study** Fourteen different second-year medical students at a hospital measured the blood pressure of the same person. The systolic readings (in mm Hg) are listed below. Use the given data to construct a boxplot and identify the 5-number summary. **Systolic Readings (mm Hg):** 126, 122, 135, 138, 120, 125, 138, 130, 127, 134, 126, 140, 126, 150 ### Calculation of the 5-Number Summary **1. Minimum:** The smallest value in the data set. **2. Q1 (First Quartile):** The median of the first half of the data. **3. Median (Q2):** The middle value of the data set. **4. Q3 (Third Quartile):** The median of the second half of the data. **5. Maximum:** The largest value in the data set. ### Detailed Steps 1. **Arrange the Data in Ascending Order:** - 120, 122, 125, 126, 126, 126, 127, 130, 134, 135, 138, 138, 140, 150 2. **Identify the Minimum Value:** - Minimum = 120 mm Hg 3. **Identify the Maximum Value:** - Maximum = 150 mm Hg 4. **Median (Q2):** - Since there are 14 values, the median will be the average of the 7th and 8th values: - Median = (127 + 130) / 2 = 128.5 mm Hg 5. **First Quartile (Q1):** - For the first half of the data: 120, 122, 125, 126, 126, 126, 127 - Median of this half (7 values, so the 4th value) = 126 mm Hg 6. **Third Quartile (Q3):** - For the second half of the data: 130, 134, 135, 138, 138, 140, 150 - Median of this half (7 values, so the 4th value) = 138 mm Hg ### 5-Number Summary (mm Hg): -
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