Fourteen different second-year medical students at a hospital measured the blood pressure of the same personThe systolic readings (mm Hg) are listed below. Use the given data to construct a boxplot and identify the 5-number summary. 150 148 135 148 120 125 146130 143 141 141 140 138 150 The 5-number summary is and all in mm Hg not round

To construct a boxplot and identify the 5-number summary, we need to find the minimum, first quartile (Q1), median, third quartile (Q3), and maximum values from the data set. Here are the steps:

### Step 1: Arrange the Data in Ascending Order
The systolic readings in ascending order are:
\[120, 125, 130, 135, 138, 140, 141, 141, 143, 146, 148, 148, 150, 150\]

### Step 2: Identify the 5-Number Summary
1. **Minimum**: The smallest value in the data set.
2. **First Quartile (Q1)**: The median of the lower half of the data (excluding the median if the number of data points is odd).
3. **Median (Q2)**: The middle value of the data set.
4. **Third Quartile (Q3)**: The median of the upper half of the data.
5. **Maximum**: The largest value in the data set.

Let me calculate the exact values.The 5-number summary for the given systolic readings (in mm Hg) is:

1. **Minimum**: 120 mm Hg
2. **First Quartile (Q1)**: 135.75 mm Hg
3. **Median (Q2)**: 141.0 mm Hg
4. **Third Quartile (Q3)**: 147.5 mm Hg
5. **Maximum**: 150 mm Hg

If you would like, I can help you create the boxplot as well. Do you have any questions or need further details on these calculations?

### Related Questions:
1. What does each part of the 5-number summary represent in a dataset?
2. How is the interquartile range (IQR) calculated, and what does it indicate?
3. How does a boxplot help in identifying outliers in a dataset?
4. Can the 5-number summary be used to determine the skewness of the data?
5. What are the limitations of using a 5-number summary for data analysis?

### Tip:
When interpreting the 5-number summary, pay special attention to the interquartile range (Q3 - Q1) as it provides insights into the spread of the middle 50% of your data.

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. 150 148 135 148 120 125 146 130 143 141 141 140 138 150

Discover how to calculate the 5-number summary for systolic blood pressure readings, including minimum, Q1, median, Q3, and maximum. This step-by-step guide covers constructing a boxplot and interpreting the spread of the data. Suitable for high school and introductory college statistics students.

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