Sik different second-year medical students at Bellevue Hospital measured the blo

Question

Sik 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? 126 121 122 148 131 135 Ranges mmHg Sample variance mmHg squared (Round to the nearest tenth as needed.) Sample standard deviation- mmHg (Round to the nearest tenth as needed.) What should be the value of the standard deviation? A.ldeally, the standard deviation would be one because all the measurements should be the same. B.Ideally, the standard deviation would be one because this is the lowest standard deviation that can be achieved. C.ideally, the standard deviation would be zero because all the measurements should be the same. D.There is no way to tell what the standard deviation should be.

Explanation / Answer

Solution:

Values are as follows:

126,121,122,148,131,135

after sorting smallest to largest

121,122,126,131,135,148

so range = 148-121 = 27

Variance = Summation(Xi-Xbar)^2/(n-1)

Xbar = 130.5

Variance = ((121-130.5)^2 + (122-130.5)^2 + (126-130.5)^2 + (131-130.5)^2 + (135-130.5)^2 + (148-130.5)^2)/5

Variance = (90.25 + 72.25 + 20.25 + 0.25 + 20.25 + 306.25)/5

Variance = 509.5/5 = 101.9

sample standard deviation =sqrt(variance) = sqrt(101.9) = 10.09455 or 10.1

Standard deviaiton should be zero because all the measurement should be the same. so its answer is C.

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