Question

In: Statistics and Probability

Six different​ second-year medical students at Bellevue Hospital measured the blood pressure of the same person....

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.

Solutions

Expert Solution

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.


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