Find the standard deviation and Compare the actual number of turns of Larger Sol

Question

Find the standard deviation and Compare the actual number of turns of Larger Solenoid (1250 turns) with your estimated value. Are they statistically the same?

2. Complete Table below based on the10 plots of Magnetic Field & Current vs. Time graph with the fitted linear functions for Larger Solenoid. Then, estimate the number of turns N for each plot. Calculate the average and the standard deviation Plot 12.01e-5 2 1.81e-5 3 1.16e-5 41.69e-5 51.7e-5 62.39e-5 72.25e-5 82.28e-5 92.64e-5 10 2.63e-5 Slope (B)Y-intercept (B)Slope (I) Y-intercept (I) N turns 043 0428 0211 0547 0255 0502 0736 0624 0664 0796 4.13e-4 4.28e-4 4.31e-4 4.66e-4 4.72e-4 4.22e-4 4.34e-4 4.33e-4 4.42e-4 2.4e-4 202 242 206 207 .311 188 367 277 371 43.9 39.8 51.6 29 62. 44.7 28.7 34.3 37.3 31 40.29 Average S.D

Explanation / Answer

Here,   B = o * n * I

=> 1)   No. of turns = B/(o * I)

      => N =   44.4

2)   No. of turns = 40.2

3) No. of turns = 50.4

4)   No. of turns = 30.1

5)   No. of turns = 61.2

6)   No. of turns = 45.2

7)   No. of turns = 29.1

8)   No. of turns = 35.1

9)   No. of turns = 38

10)   No. of turns = 32.1

Average =   37

Standard deviation = sqrt(variance)

variance = The average of the squared differences from the Mean

=>     Standard deviation =    16.523

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