Six different second-year medical students at Bellevue Hospital measured the blo
ID: 2929075 • Letter: S
Question
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? 125, 124, 148, 144, 131, 126
Range=?
Sample Variance=?
Sample standard deviation=?
what should be the value of the standard deviation?
A. Ideally, the standard deviation would be one because this is the lowest standard deviation that can be achieved.
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 all the measurements should be the same.
D. There is no way to tell what the standard deviation should be.
Explanation / Answer
Solution:-
==> Range = 24 mmHg
Explanation
The range is the difference between the highest and lowest values in the data set.
Ordering the data from least to greatest, we get:
124 125 126 131 144 148
The lowest value is 124.
The highest value is 148.
The range = 148 - 124 = 24.
==> Sample variance = 108.8 mmHg²
==> Sample standard deviation = 10.4307 mmHg
==> option B. Ideally, the standard deviation would be zero because all the measurements should be the same.