In repeated measurements in volumetric analysis, the end-points were observed as 11.15 mL, 11.17 mL, 11.11 mL and 11.17 mL. 

Calculate mean absolute deviation and relative deviation.

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1 Answers

Mean = \(\frac{11.15+11.17+11.11+11.17}{4}\) 

= 11.15

Measurement End-point Absolute deviation = |Observed value – Mean|
1 11.15 mL 0
2 11.17 mL 0.02 mL
3 11.11 mL 0.04 mL
4 11.17 mL 0.02 mL

Mean absolute deviation = \(\frac{0+0.02+0.04+0.02}{4}\) 

= 0.02

∴ Mean absolute deviation = \(\pm0.02\,mL\) 

Relative deviation = \(\frac{Mean\,absolute\,deviation}{Mean}\) x 100%

\(\frac{0.02}{11.15}\) x 100%

= 0.2%

∴ i. Mean absolute deviation = ±0.02 mL

ii. Relative deviation = 0.2%

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