Question 14 of 15 Map A Sapling Learning The known concentration of glucose in a

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Question 14 of 15 Map A Sapling Learning The known concentration of glucose in a blood sample is 102.0 mg/dL. During testing of a new at home lucose monitor, the device gives the following determinations of glucose in the blood sample: 107.1, 107.6, 2.7, 93.2, and 96.5 mg/dL, Calculate the absolute error and relative error for each measurement made by the glucose monitor. a) 107.1 mg/dL Number absolute error Number mg/dL relative error b) 107.6 mg/dL Number Number mg/dL relative error absolute error c) 102.7 mg/dL Number Number mg/dL relative error absolute error d) 93.2 mg/dL Number Numn her. Previous 8 Give Up & View Solution Check Answer Next D Ext Hint

Explanation / Answer

Absolute Error: The absolute error E in a measurement is expressed as

E = xi - xt   where xi = measured value and xt = true ( accepted) value

Relative error: The relative error Er in a measurement is expressed as

Er = ( xi - xt )/xt

Relative error is generally expressed as percent

Er = ( xi - xt )/xt X 100

a) 107.1 mg/dl

The absolute error E =  xi - xt  = 107.1 - 102.0 = 5.1 mg/dl

relative error Er =  (107.1 - 102.0)/102.0 X 100 = 5 %

b) 107.6 mg/dl

The absolute error E =  xi - xt  = 107.6 - 102.0 = 5.6 mg/dl

relative error Er =  (107.6 - 102.0)/102.0 X 100 = 5.49%

c) 102.7 mg/dl

The absolute error E =  xi - xt  = 102.7 - 102.0 = 0.7 mg/dl

relative error Er =  (102.7 - 102.0)/102.0 X 100 = 0.68 %

d) 93.2 mg/dl

The absolute error E =  xi - xt  = 93.2 - 102.0 = -8.8 mg/dl

relative error Er =  (93.2 - 102.0)/102.0 X 100 = -8.62 %

e) 96.5 mg/dl

The absolute error E =  xi - xt  = 96.5 - 102.0 = -5.5 mg/dl

relative error Er =  (96.5 - 102.0)/102.0 X 100 = -5.39 %

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