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Use the given data to construct a box plot and identify the 5-number summary. Eleven different second-year medical students at Bellevue Hospital measured the blood pressure of the same person. The systolic readings (mmHg) are listed below.
{ 130, 135, 140, 120, 130, 130, 144, 143, 140, 130, 150 }

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Answer:

[tex] Min =120, Max= 150[/tex]

The first quartile can be calculated with this data:

130, 135, 140, 120, 130, 130

And the middle value is:

[tex] Q_1 = \frac{140+120}{2}=130[/tex]

The median is the value in the 6th position from the dataset ordered and we got:

[tex] Median= 135[/tex]

The third quartile can be calculated with this data:

135 140 140 143 144 150

And the middle value is:

[tex] Q_3 = \frac{140+143}{2}=141.5[/tex]

The five number summary for this case:

Min. 1st Qu.  Median    Mean 3rd Qu.    Max.  

120.0   130.0   135.0   135.6   141.5   150.0

The boxplot is on the figure attached

Step-by-step explanation:

We have the following data given:

130, 135, 140, 120, 130, 130, 144, 143, 140, 130, 150

If we sort the values on increasing order we got:

120 130 130 130 130 135 140 140 143 144 150

The minimum and maximum are:

[tex] Min =120, Max= 150[/tex]

The first quartile can be calculated with this data:

130, 135, 140, 120, 130, 130

And the middle value is:

[tex] Q_1 = \frac{140+120}{2}=130[/tex]

The median is the value in the 6th position from the dataset ordered and we got:

[tex] Median= 135[/tex]

The third quartile can be calculated with this data:

135 140 140 143 144 150

And the middle value is:

[tex] Q_3 = \frac{140+143}{2}=141.5[/tex]

The five number summary for this case:

Min. 1st Qu.  Median    Mean 3rd Qu.    Max.  

120.0   130.0   135.0   135.6   141.5   150.0

The boxplot is on the figure attached

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