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A new set of measurements are obtained with the values 0, 1,2, 3, 4, 5, 6,...

A new set of measurements are obtained with the values 0, 1,2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 and these values are found 0, 1, 2, 3, 4, 5, 6, 5, 4, 3, 2, 1, 0 times, respectively. Find the the average value of the measurements and the statistical uncertainty based on the measurements.

Math   Statistics-And-Probability   
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Answer #1

average = (sum of values) / (no. of values)

= (0+1+2+3+4+5+6+5+4+3+2+1+0) / (13)

avg = 2.7692

SD :

SD = 1.9644

uncertainty = spread = z*SD = 1.96*1.9644 = 3.8502

uncertainty = 3.8502

(please UPVOTE)

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