What is percent error between 388 and 78?

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 ( $a$ ): 388
Theoretical Value ( $b$ ): 78

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:

$% Error = (\frac{abs(388 - 78)}{78}) \times 100$

Step 4: Perform the Calculation

Simplify the expression:

$% Error = (\frac{310}{78}) \times 100$

Step 5: Calculate

$% Error = (3.974358974359) \times 100$

$% Error = 397.44$

Step 6: Interpret the Result

Hence, the percentage discrepancy between the observed value of 388 and the expected value of 78 is 397.44%.

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 388

The percent error between 388 and 1 is 38700
The percent error between 388 and 2 is 19300
The percent error between 388 and 3 is 12833.33
The percent error between 388 and 4 is 9600
The percent error between 388 and 5 is 7660
The percent error between 388 and 6 is 6366.67
The percent error between 388 and 7 is 5442.86
The percent error between 388 and 8 is 4750
The percent error between 388 and 9 is 4211.11
The percent error between 388 and 10 is 3780
The percent error between 388 and 11 is 3427.27
The percent error between 388 and 12 is 3133.33
The percent error between 388 and 13 is 2884.62
The percent error between 388 and 14 is 2671.43
The percent error between 388 and 15 is 2486.67
The percent error between 388 and 16 is 2325
The percent error between 388 and 17 is 2182.35
The percent error between 388 and 18 is 2055.56
The percent error between 388 and 19 is 1942.11
The percent error between 388 and 20 is 1840
The percent error between 388 and 21 is 1747.62
The percent error between 388 and 22 is 1663.64
The percent error between 388 and 23 is 1586.96
The percent error between 388 and 24 is 1516.67
The percent error between 388 and 25 is 1452
The percent error between 388 and 26 is 1392.31
The percent error between 388 and 27 is 1337.04
The percent error between 388 and 28 is 1285.71
The percent error between 388 and 29 is 1237.93
The percent error between 388 and 30 is 1193.33
The percent error between 388 and 31 is 1151.61
The percent error between 388 and 32 is 1112.5
The percent error between 388 and 33 is 1075.76
The percent error between 388 and 34 is 1041.18
The percent error between 388 and 35 is 1008.57
The percent error between 388 and 36 is 977.78
The percent error between 388 and 37 is 948.65
The percent error between 388 and 38 is 921.05
The percent error between 388 and 39 is 894.87
The percent error between 388 and 40 is 870
The percent error between 388 and 41 is 846.34
The percent error between 388 and 42 is 823.81
The percent error between 388 and 43 is 802.33
The percent error between 388 and 44 is 781.82
The percent error between 388 and 45 is 762.22
The percent error between 388 and 46 is 743.48
The percent error between 388 and 47 is 725.53
The percent error between 388 and 48 is 708.33
The percent error between 388 and 49 is 691.84
The percent error between 388 and 50 is 676
The percent error between 388 and 51 is 660.78
The percent error between 388 and 52 is 646.15
The percent error between 388 and 53 is 632.08
The percent error between 388 and 54 is 618.52
The percent error between 388 and 55 is 605.45
The percent error between 388 and 56 is 592.86
The percent error between 388 and 57 is 580.7
The percent error between 388 and 58 is 568.97
The percent error between 388 and 59 is 557.63
The percent error between 388 and 60 is 546.67
The percent error between 388 and 61 is 536.07
The percent error between 388 and 62 is 525.81
The percent error between 388 and 63 is 515.87
The percent error between 388 and 64 is 506.25
The percent error between 388 and 65 is 496.92
The percent error between 388 and 66 is 487.88
The percent error between 388 and 67 is 479.1
The percent error between 388 and 68 is 470.59
The percent error between 388 and 69 is 462.32
The percent error between 388 and 70 is 454.29
The percent error between 388 and 71 is 446.48
The percent error between 388 and 72 is 438.89
The percent error between 388 and 73 is 431.51
The percent error between 388 and 74 is 424.32
The percent error between 388 and 75 is 417.33
The percent error between 388 and 76 is 410.53
The percent error between 388 and 77 is 403.9
The percent error between 388 and 78 is 397.44
The percent error between 388 and 79 is 391.14
The percent error between 388 and 80 is 385
The percent error between 388 and 81 is 379.01
The percent error between 388 and 82 is 373.17
The percent error between 388 and 83 is 367.47
The percent error between 388 and 84 is 361.9
The percent error between 388 and 85 is 356.47
The percent error between 388 and 86 is 351.16
The percent error between 388 and 87 is 345.98
The percent error between 388 and 88 is 340.91
The percent error between 388 and 89 is 335.96
The percent error between 388 and 90 is 331.11
The percent error between 388 and 91 is 326.37
The percent error between 388 and 92 is 321.74
The percent error between 388 and 93 is 317.2
The percent error between 388 and 94 is 312.77
The percent error between 388 and 95 is 308.42
The percent error between 388 and 96 is 304.17
The percent error between 388 and 97 is 300
The percent error between 388 and 98 is 295.92
The percent error between 388 and 99 is 291.92
The percent error between 388 and 100 is 288