What is percent error between 398 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 ( $a$ ): 398
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:

$% Error = (\frac{abs(398 - 78)}{78}) \times 100$

Step 4: Perform the Calculation

Simplify the expression:

$% Error = (\frac{320}{78}) \times 100$

Step 5: Calculate

$% Error = (4.1025641025641) \times 100$

$% Error = 410.26$

Step 6: Interpret the Result

Hence, the percentage discrepancy between the observed value of 398 and the expected value of 78 is 410.26%.

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 398

The percent error between 398 and 1 is 39700
The percent error between 398 and 2 is 19800
The percent error between 398 and 3 is 13166.67
The percent error between 398 and 4 is 9850
The percent error between 398 and 5 is 7860
The percent error between 398 and 6 is 6533.33
The percent error between 398 and 7 is 5585.71
The percent error between 398 and 8 is 4875
The percent error between 398 and 9 is 4322.22
The percent error between 398 and 10 is 3880
The percent error between 398 and 11 is 3518.18
The percent error between 398 and 12 is 3216.67
The percent error between 398 and 13 is 2961.54
The percent error between 398 and 14 is 2742.86
The percent error between 398 and 15 is 2553.33
The percent error between 398 and 16 is 2387.5
The percent error between 398 and 17 is 2241.18
The percent error between 398 and 18 is 2111.11
The percent error between 398 and 19 is 1994.74
The percent error between 398 and 20 is 1890
The percent error between 398 and 21 is 1795.24
The percent error between 398 and 22 is 1709.09
The percent error between 398 and 23 is 1630.43
The percent error between 398 and 24 is 1558.33
The percent error between 398 and 25 is 1492
The percent error between 398 and 26 is 1430.77
The percent error between 398 and 27 is 1374.07
The percent error between 398 and 28 is 1321.43
The percent error between 398 and 29 is 1272.41
The percent error between 398 and 30 is 1226.67
The percent error between 398 and 31 is 1183.87
The percent error between 398 and 32 is 1143.75
The percent error between 398 and 33 is 1106.06
The percent error between 398 and 34 is 1070.59
The percent error between 398 and 35 is 1037.14
The percent error between 398 and 36 is 1005.56
The percent error between 398 and 37 is 975.68
The percent error between 398 and 38 is 947.37
The percent error between 398 and 39 is 920.51
The percent error between 398 and 40 is 895
The percent error between 398 and 41 is 870.73
The percent error between 398 and 42 is 847.62
The percent error between 398 and 43 is 825.58
The percent error between 398 and 44 is 804.55
The percent error between 398 and 45 is 784.44
The percent error between 398 and 46 is 765.22
The percent error between 398 and 47 is 746.81
The percent error between 398 and 48 is 729.17
The percent error between 398 and 49 is 712.24
The percent error between 398 and 50 is 696
The percent error between 398 and 51 is 680.39
The percent error between 398 and 52 is 665.38
The percent error between 398 and 53 is 650.94
The percent error between 398 and 54 is 637.04
The percent error between 398 and 55 is 623.64
The percent error between 398 and 56 is 610.71
The percent error between 398 and 57 is 598.25
The percent error between 398 and 58 is 586.21
The percent error between 398 and 59 is 574.58
The percent error between 398 and 60 is 563.33
The percent error between 398 and 61 is 552.46
The percent error between 398 and 62 is 541.94
The percent error between 398 and 63 is 531.75
The percent error between 398 and 64 is 521.88
The percent error between 398 and 65 is 512.31
The percent error between 398 and 66 is 503.03
The percent error between 398 and 67 is 494.03
The percent error between 398 and 68 is 485.29
The percent error between 398 and 69 is 476.81
The percent error between 398 and 70 is 468.57
The percent error between 398 and 71 is 460.56
The percent error between 398 and 72 is 452.78
The percent error between 398 and 73 is 445.21
The percent error between 398 and 74 is 437.84
The percent error between 398 and 75 is 430.67
The percent error between 398 and 76 is 423.68
The percent error between 398 and 77 is 416.88
The percent error between 398 and 78 is 410.26
The percent error between 398 and 79 is 403.8
The percent error between 398 and 80 is 397.5
The percent error between 398 and 81 is 391.36
The percent error between 398 and 82 is 385.37
The percent error between 398 and 83 is 379.52
The percent error between 398 and 84 is 373.81
The percent error between 398 and 85 is 368.24
The percent error between 398 and 86 is 362.79
The percent error between 398 and 87 is 357.47
The percent error between 398 and 88 is 352.27
The percent error between 398 and 89 is 347.19
The percent error between 398 and 90 is 342.22
The percent error between 398 and 91 is 337.36
The percent error between 398 and 92 is 332.61
The percent error between 398 and 93 is 327.96
The percent error between 398 and 94 is 323.4
The percent error between 398 and 95 is 318.95
The percent error between 398 and 96 is 314.58
The percent error between 398 and 97 is 310.31
The percent error between 398 and 98 is 306.12
The percent error between 398 and 99 is 302.02
The percent error between 398 and 100 is 298