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

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 deviaticn 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? 130149 137 128 120 134 Range 29 mmHg Sample variance = 95.2 mmHg2 (Round to the nearest tenth as needed.) Sample standard deviationmHg (Round to the nearest tenth as needed.)

Explanation / Answer

Maximum value = 149

Minimum value = 120

Range = 149 - 120 = 29.

Mean = (130+149+137+128+120+134)/6

= 133

Sum of differences = (130-133)2 + (149-133)2 + (137-133)2 + (128-133)2 + (120-133)2 + (134-133)2

= 9 + 256 + 16 + 25 + 169 + 1

= 476

Sample variance = 476 / (6 - 1) = 476/5 = 95.2

Sample standard deviation = 95.2 = 9.757

(Note: Adjust the value of standard deviation to appropriate decimal places)

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