Thanks for your helps, Differential pressure values are measured by a Pitot-stat

Question

Thanks for your helps,

Differential pressure values are measured by a Pitot-static probe in the test section of a wind tunnel to obtairn the freestream velocity. The measured voltages and the calibration equation of the differential pressure transducer connected to the Pitot-static probe are given below. Apply Chauvenet's criterion and find out if there are any data to be eliminated; then find out the mean velocity in the test section. 10 112 13 14 13 voltages 1.714 1.751 1.693 1.723 1.728 1.763 1.732 1.701 1.746 1.727 1.714 1.797 1.731 1.707 1.717 p = 10.82V + 0.56, patm = 1013 mbar, Tatm-25 °C

Explanation / Answer

from the given data,

data data -mean |data-mean| |data-mean|/stdev

1.714 -0.013214 0.013214 0.514824483

1.751 0.023786 0.023786 0.926715237

1.693 -0.034214 0.034214 1.332995675

1.723 -0.004214 0.004214 0.164179686

1.728 0.000786 0.000786 0.030622979

1.732 0.004786 0.004786 0.186465111

1.701 -0.026214 0.026214 1.021311412

1.746 0.018786 0.018786 0.731912573

1.727 -0.000214 0.000214 0.008337554

1.714 -0.013214 0.013214 0.514824483

1.797 0.069786 0.069786 2.718899755

1.731 0.003786 0.003786 0.147504578

1.707 -0.020214 0.020214 0.787548214

1.717 -0.010214 0.010214 0.397942884

mean, x = 1.727214286

standard deviation s = 0.025667035

number of measurements, n = 15

so we can see, rerading 1.797 is more than two standard deviations away from the mean

so, probability of taking data more than two standard deviations away from the mean is 0.05

so, statistical value = 0.05*n = 0.75 > 0.5, hence this value cannot be discarded

hence no value can be discarded according to chauvenets criterion

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