Question

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 }

Answer 1

`Min =120, Max= 150`

The first quartile can be calculated with this data:

130, 135, 140, 120, 130, 130

And the middle value is:

`Q_1 = (140+120)/(2)=130`

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

`Median= 135`

The third quartile can be calculated with this data:

135 140 140 143 144 150

And the middle value is:

`Q_3 = (140+143)/(2)=141.5`

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

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:

`Min =120, Max= 150`

The first quartile can be calculated with this data:

130, 135, 140, 120, 130, 130

And the middle value is:

`Q_1 = (140+120)/(2)=130`

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

`Median= 135`

The third quartile can be calculated with this data:

135 140 140 143 144 150

And the middle value is:

`Q_3 = (140+143)/(2)=141.5`

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