What is percent error between 378 and 8?

In the field of experimental sciences and data analysis, it is crucial to comprehend and compute the percent error. Percent error offers important insights into the dependability of your data, whether you're comparing experimental results to theoretical values or evaluating the precision of measurements. Now, let's examine how to calculate % error step-by-step using a real-world scenario.

Step 1: Define the Values

Let's first clarify the values we will be using:

Experimental Value ( $a$ ): 378
Theoretical Value ( $b$ ): 8

Step 2: Understand the Formula

The formula for calculating percent error is as follows:.

$% Error = (\frac{abs(a - b)}{b}) \times 100$

Step 3: Plug in the Values

Now, plug in the provided values into the equation:

$% Error = (\frac{abs(378 - 8)}{8}) \times 100$

Step 4: Perform the Calculation

Simplify the expression:

$% Error = (\frac{370}{8}) \times 100$

Step 5: Calculate

$% Error = (46.25) \times 100$

$% Error = 4625$

Step 6: Interpret the Result

Hence, the percentage discrepancy between the observed value of 378 and the expected value of 8 is 4625%.

Conclusion

By adhering to these instructions, one can precisely determine the percentage error between two figures. It is important to note that percentage error offers valuable insights into the precision of experimental outcomes and aids in pinpointing areas that require enhancement in experimental techniques or measurements.

Ensure the reliability and robustness of your scientific conclusions by integrating these steps into your data analysis toolkit.

Table presenting the percent error for 378

The percent error between 378 and 1 is 37700
The percent error between 378 and 2 is 18800
The percent error between 378 and 3 is 12500
The percent error between 378 and 4 is 9350
The percent error between 378 and 5 is 7460
The percent error between 378 and 6 is 6200
The percent error between 378 and 7 is 5300
The percent error between 378 and 8 is 4625
The percent error between 378 and 9 is 4100
The percent error between 378 and 10 is 3680
The percent error between 378 and 11 is 3336.36
The percent error between 378 and 12 is 3050
The percent error between 378 and 13 is 2807.69
The percent error between 378 and 14 is 2600
The percent error between 378 and 15 is 2420
The percent error between 378 and 16 is 2262.5
The percent error between 378 and 17 is 2123.53
The percent error between 378 and 18 is 2000
The percent error between 378 and 19 is 1889.47
The percent error between 378 and 20 is 1790
The percent error between 378 and 21 is 1700
The percent error between 378 and 22 is 1618.18
The percent error between 378 and 23 is 1543.48
The percent error between 378 and 24 is 1475
The percent error between 378 and 25 is 1412
The percent error between 378 and 26 is 1353.85
The percent error between 378 and 27 is 1300
The percent error between 378 and 28 is 1250
The percent error between 378 and 29 is 1203.45
The percent error between 378 and 30 is 1160
The percent error between 378 and 31 is 1119.35
The percent error between 378 and 32 is 1081.25
The percent error between 378 and 33 is 1045.45
The percent error between 378 and 34 is 1011.76
The percent error between 378 and 35 is 980
The percent error between 378 and 36 is 950
The percent error between 378 and 37 is 921.62
The percent error between 378 and 38 is 894.74
The percent error between 378 and 39 is 869.23
The percent error between 378 and 40 is 845
The percent error between 378 and 41 is 821.95
The percent error between 378 and 42 is 800
The percent error between 378 and 43 is 779.07
The percent error between 378 and 44 is 759.09
The percent error between 378 and 45 is 740
The percent error between 378 and 46 is 721.74
The percent error between 378 and 47 is 704.26
The percent error between 378 and 48 is 687.5
The percent error between 378 and 49 is 671.43
The percent error between 378 and 50 is 656
The percent error between 378 and 51 is 641.18
The percent error between 378 and 52 is 626.92
The percent error between 378 and 53 is 613.21
The percent error between 378 and 54 is 600
The percent error between 378 and 55 is 587.27
The percent error between 378 and 56 is 575
The percent error between 378 and 57 is 563.16
The percent error between 378 and 58 is 551.72
The percent error between 378 and 59 is 540.68
The percent error between 378 and 60 is 530
The percent error between 378 and 61 is 519.67
The percent error between 378 and 62 is 509.68
The percent error between 378 and 63 is 500
The percent error between 378 and 64 is 490.63
The percent error between 378 and 65 is 481.54
The percent error between 378 and 66 is 472.73
The percent error between 378 and 67 is 464.18
The percent error between 378 and 68 is 455.88
The percent error between 378 and 69 is 447.83
The percent error between 378 and 70 is 440
The percent error between 378 and 71 is 432.39
The percent error between 378 and 72 is 425
The percent error between 378 and 73 is 417.81
The percent error between 378 and 74 is 410.81
The percent error between 378 and 75 is 404
The percent error between 378 and 76 is 397.37
The percent error between 378 and 77 is 390.91
The percent error between 378 and 78 is 384.62
The percent error between 378 and 79 is 378.48
The percent error between 378 and 80 is 372.5
The percent error between 378 and 81 is 366.67
The percent error between 378 and 82 is 360.98
The percent error between 378 and 83 is 355.42
The percent error between 378 and 84 is 350
The percent error between 378 and 85 is 344.71
The percent error between 378 and 86 is 339.53
The percent error between 378 and 87 is 334.48
The percent error between 378 and 88 is 329.55
The percent error between 378 and 89 is 324.72
The percent error between 378 and 90 is 320
The percent error between 378 and 91 is 315.38
The percent error between 378 and 92 is 310.87
The percent error between 378 and 93 is 306.45
The percent error between 378 and 94 is 302.13
The percent error between 378 and 95 is 297.89
The percent error between 378 and 96 is 293.75
The percent error between 378 and 97 is 289.69
The percent error between 378 and 98 is 285.71
The percent error between 378 and 99 is 281.82
The percent error between 378 and 100 is 278