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
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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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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