Six different second-year medical students at Bellevue Hospital measured the blo
ID: 3263806 • Letter: S
Question
Six different second-year medical students at Bellevue Hospital measured the blood pressure of the same person. The systolic readings (in mm Hg) 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? 127 132 142 141 147 130 Range = 20 mmHg Sample variance = mmHg^2 (Round to the nearest tenth as needed.)Explanation / Answer
Let the given variable is x
x
127
132
142
141
147
130
Sample variance = S ( x – x bar )^2 / (n-1)
x
127
132
142
141
147
130
Total =
819
x bar = S x / n
= 819 / 6
= 136.5
x
(x - x bar)
(x - x bar)^2
127
-9.5
90.25
132
-4.5
20.25
142
5.5
30.25
141
4.5
20.25
147
10.5
110.25
130
-6.5
42.25
Total =
313.5
Sample variance = S ( x – x bar )^2 / (n-1)
= 313.5 / (6-1)
= 313.5/5
= 62.7
Answer: 62.7
x
127
132
142
141
147
130