In: Statistics and Probability
Six different second-year medical students at Bellevue Hospital measured the blood pressure of the same person. The systolic readings (in mmHg) are listed below. Find the range, variance, and standard deviation for the given sample data. If the subject's blood pressure remains constant and the medical students correctly apply the same measurement technique, what should be the value of the standard deviation? 146 127 124 134 122 121
Range
Sample variance
sample standard deviation
mmHg (Round to the nearest tenth as needed.)
What should be the value of the standard deviation?
A.
Ideally, the standard deviation would be one because all the measurements should be the same.
B.
Ideally, the standard deviation would be zero because all the measurements should be the same.
C.
Ideally, the standard deviation would be one because this is the lowest standard deviation that can be achieved.
D.
There is no way to tell what the standard deviation should be.
The statistical software output for this problem is:
Summary statistics:
Column | Range | Variance | Std. dev. |
---|---|---|---|
Data | 25 | 91.2 | 9.5498691 |
Hence,
Range = 25
Sample variance = 91.2
Sample standard deviation = 9.5
Ideally, the standard deviation would be zero because all the measurements should be the same.
Option B is correct.