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Mapoob sapling learning The known concentration of glucose in a blood sample is

ID: 937847 • Letter: M

Question

Mapoob 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: 107.2, 103.5 03.9, 106.6, and 98.2 mg/dL. Calculate the absolute error and relative error for each measurement made by the glucose monitor a) 107.2 mg/dL Number Number absolute error mg/ dL relative error b) 103.5 mg/dL Number Number absolute error In relative error = c) 103.9 mg/dL Number Number absolute error mg dL relative error = d) 106.6 mg/dL

Explanation / Answer

Before calculation let me give genereal formulae for easy grasping

Absolute error = Actual - observed

Relative error = (Absolute error / Actual) *100% = % of error

for 107.2 mg/dl is Absolute error = (102-107.2) mg/dl =5.2 mg/dl { negative sign is negligible as per standard} and

Relative error = (5.2 mg/dl/102 mg/dl) * 100 =5.09%

Concentration(mg/dl) Absolute error Relative error 107.2 5.2 5.09 % 103.5 1.5 1.47 % 103.9 1.9 1.86 % 106.6 4.6 4.51 % 98.2 3.8 3.73 %