What is percent error between 328 and 42?

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 ( $a$ ): 328
Theoretical Value ( $b$ ): 42

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:

$% Error = (\frac{abs(328 - 42)}{42}) \times 100$

Step 4: Perform the Calculation

Simplify the expression:

$% Error = (\frac{286}{42}) \times 100$

Step 5: Calculate

$% Error = (6.8095238095238) \times 100$

$% Error = 680.95$

Step 6: Interpret the Result

Hence, the percentage discrepancy between the observed value of 328 and the expected value of 42 is 680.95%.

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 328

The percent error between 328 and 1 is 32700
The percent error between 328 and 2 is 16300
The percent error between 328 and 3 is 10833.33
The percent error between 328 and 4 is 8100
The percent error between 328 and 5 is 6460
The percent error between 328 and 6 is 5366.67
The percent error between 328 and 7 is 4585.71
The percent error between 328 and 8 is 4000
The percent error between 328 and 9 is 3544.44
The percent error between 328 and 10 is 3180
The percent error between 328 and 11 is 2881.82
The percent error between 328 and 12 is 2633.33
The percent error between 328 and 13 is 2423.08
The percent error between 328 and 14 is 2242.86
The percent error between 328 and 15 is 2086.67
The percent error between 328 and 16 is 1950
The percent error between 328 and 17 is 1829.41
The percent error between 328 and 18 is 1722.22
The percent error between 328 and 19 is 1626.32
The percent error between 328 and 20 is 1540
The percent error between 328 and 21 is 1461.9
The percent error between 328 and 22 is 1390.91
The percent error between 328 and 23 is 1326.09
The percent error between 328 and 24 is 1266.67
The percent error between 328 and 25 is 1212
The percent error between 328 and 26 is 1161.54
The percent error between 328 and 27 is 1114.81
The percent error between 328 and 28 is 1071.43
The percent error between 328 and 29 is 1031.03
The percent error between 328 and 30 is 993.33
The percent error between 328 and 31 is 958.06
The percent error between 328 and 32 is 925
The percent error between 328 and 33 is 893.94
The percent error between 328 and 34 is 864.71
The percent error between 328 and 35 is 837.14
The percent error between 328 and 36 is 811.11
The percent error between 328 and 37 is 786.49
The percent error between 328 and 38 is 763.16
The percent error between 328 and 39 is 741.03
The percent error between 328 and 40 is 720
The percent error between 328 and 41 is 700
The percent error between 328 and 42 is 680.95
The percent error between 328 and 43 is 662.79
The percent error between 328 and 44 is 645.45
The percent error between 328 and 45 is 628.89
The percent error between 328 and 46 is 613.04
The percent error between 328 and 47 is 597.87
The percent error between 328 and 48 is 583.33
The percent error between 328 and 49 is 569.39
The percent error between 328 and 50 is 556
The percent error between 328 and 51 is 543.14
The percent error between 328 and 52 is 530.77
The percent error between 328 and 53 is 518.87
The percent error between 328 and 54 is 507.41
The percent error between 328 and 55 is 496.36
The percent error between 328 and 56 is 485.71
The percent error between 328 and 57 is 475.44
The percent error between 328 and 58 is 465.52
The percent error between 328 and 59 is 455.93
The percent error between 328 and 60 is 446.67
The percent error between 328 and 61 is 437.7
The percent error between 328 and 62 is 429.03
The percent error between 328 and 63 is 420.63
The percent error between 328 and 64 is 412.5
The percent error between 328 and 65 is 404.62
The percent error between 328 and 66 is 396.97
The percent error between 328 and 67 is 389.55
The percent error between 328 and 68 is 382.35
The percent error between 328 and 69 is 375.36
The percent error between 328 and 70 is 368.57
The percent error between 328 and 71 is 361.97
The percent error between 328 and 72 is 355.56
The percent error between 328 and 73 is 349.32
The percent error between 328 and 74 is 343.24
The percent error between 328 and 75 is 337.33
The percent error between 328 and 76 is 331.58
The percent error between 328 and 77 is 325.97
The percent error between 328 and 78 is 320.51
The percent error between 328 and 79 is 315.19
The percent error between 328 and 80 is 310
The percent error between 328 and 81 is 304.94
The percent error between 328 and 82 is 300
The percent error between 328 and 83 is 295.18
The percent error between 328 and 84 is 290.48
The percent error between 328 and 85 is 285.88
The percent error between 328 and 86 is 281.4
The percent error between 328 and 87 is 277.01
The percent error between 328 and 88 is 272.73
The percent error between 328 and 89 is 268.54
The percent error between 328 and 90 is 264.44
The percent error between 328 and 91 is 260.44
The percent error between 328 and 92 is 256.52
The percent error between 328 and 93 is 252.69
The percent error between 328 and 94 is 248.94
The percent error between 328 and 95 is 245.26
The percent error between 328 and 96 is 241.67
The percent error between 328 and 97 is 238.14
The percent error between 328 and 98 is 234.69
The percent error between 328 and 99 is 231.31
The percent error between 328 and 100 is 228