Data Analysis Excel Example (AY 2009/10)

Example 1Example 1: Thickness of a metal plateThickness(di dmean)2Manual Calculationsd0.001 (mm)d13.087Meanmmd23.156Std. deviationmmd33.095Std errormmd43.209d53.131d63.052d73.034Excel Formulad83.115d93.044AVERAGE()mmd103.080STDEV()mmSum

Example 1 SolutionExample 1: Thickness of a metal plateThickness(di dmean)2Manual Calculationsd0.001 (mm)d13.0870.00017689Mean3.10030mmd23.1560.00310249Std. deviation0.0543569478mmd33.0950.00002809Std error0.0171891762mmd43.2090.01181569d53.1310.00094249d63.0520.00233289d73.0340.00439569Excel Formulad83.1150.00021609d93.0440.00316969AVERAGE()3.10030mmd103.0800.00041209STDEV()0.0543569478mmSum31.00300.02659210

Example 2Example 2: Area of a rectangular plateLengthWidthCalculation of lengths and widthsL0.01 (cm)W0.01 (cm)LW#1Meancm#2Std. deviationcm#3Std. errorcm#4#5#6#7Calculations of area#8Areacm2Uncertaintycm2

Example 2 SolutionExample 2: Area of a rectangular plateLengthWidthCalculation of lengths and widthsL0.01 (cm)W0.01 (cm)LW#124.2650.36Mean24.2462550.3675cm#224.2350.35Std. deviation0.01995530720.0271240536cm#324.2250.38Std. error0.00705526650.0095898011cm#424.2550.41#524.2850.36#624.2650.39#724.2450.37Calculations of area#824.2350.32Area1221.222996875cm2Uncertainty0.4246669364cm2

Example 3Example3: Acceleration of gravityxiyiybestLengthPeriod0.1 (cm)T0.001 (s)T2#157.31.527#261.11.558#373.21.737#483.71.852#595.01.963LINEST()mcsmscr2syBest estimated (g)cm/s2Uncertainty (dg)cm/s2

Example 3 SolutionExample3: Acceleration of gravityxiyiybestLengthPeriod0.1 (cm)T0.001 (s)T2#157.31.5272.3317292.317928#261.11.5582.4273642.475274#373.21.7373.0171692.976297#483.71.8523.4299043.411069#595.01.9633.8533693.878967LINEST()m0.0414068743-0.0546861129csm0.00132493340.099864177scr20.99693780730.041498386syBest estimated (g)953.4266530225cm/s2Uncertainty (dg)30.5076591691cm/s2

Example 3 (Chart)2.3317292.31792778620.0414983860.0414983862.4273642.47527390873.0171692.97629708813.4299043.41106926853.8533693.8789669485

Data pointsBest fittedLength (cm)Period squared T2 (s2)Simple Pendulum (T2 versus )