What is percent error between 307 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 ( $a$ ): 307
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:

$% Error = (\frac{abs(307 - 42)}{42}) \times 100$

Step 4: Perform the Calculation

Simplify the expression:

$% Error = (\frac{265}{42}) \times 100$

Step 5: Calculate

$% Error = (6.3095238095238) \times 100$

$% Error = 630.95$

Step 6: Interpret the Result

Hence, the percentage discrepancy between the observed value of 307 and the expected value of 42 is 630.95%.

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 307

The percent error between 307 and 1 is 30600
The percent error between 307 and 2 is 15250
The percent error between 307 and 3 is 10133.33
The percent error between 307 and 4 is 7575
The percent error between 307 and 5 is 6040
The percent error between 307 and 6 is 5016.67
The percent error between 307 and 7 is 4285.71
The percent error between 307 and 8 is 3737.5
The percent error between 307 and 9 is 3311.11
The percent error between 307 and 10 is 2970
The percent error between 307 and 11 is 2690.91
The percent error between 307 and 12 is 2458.33
The percent error between 307 and 13 is 2261.54
The percent error between 307 and 14 is 2092.86
The percent error between 307 and 15 is 1946.67
The percent error between 307 and 16 is 1818.75
The percent error between 307 and 17 is 1705.88
The percent error between 307 and 18 is 1605.56
The percent error between 307 and 19 is 1515.79
The percent error between 307 and 20 is 1435
The percent error between 307 and 21 is 1361.9
The percent error between 307 and 22 is 1295.45
The percent error between 307 and 23 is 1234.78
The percent error between 307 and 24 is 1179.17
The percent error between 307 and 25 is 1128
The percent error between 307 and 26 is 1080.77
The percent error between 307 and 27 is 1037.04
The percent error between 307 and 28 is 996.43
The percent error between 307 and 29 is 958.62
The percent error between 307 and 30 is 923.33
The percent error between 307 and 31 is 890.32
The percent error between 307 and 32 is 859.38
The percent error between 307 and 33 is 830.3
The percent error between 307 and 34 is 802.94
The percent error between 307 and 35 is 777.14
The percent error between 307 and 36 is 752.78
The percent error between 307 and 37 is 729.73
The percent error between 307 and 38 is 707.89
The percent error between 307 and 39 is 687.18
The percent error between 307 and 40 is 667.5
The percent error between 307 and 41 is 648.78
The percent error between 307 and 42 is 630.95
The percent error between 307 and 43 is 613.95
The percent error between 307 and 44 is 597.73
The percent error between 307 and 45 is 582.22
The percent error between 307 and 46 is 567.39
The percent error between 307 and 47 is 553.19
The percent error between 307 and 48 is 539.58
The percent error between 307 and 49 is 526.53
The percent error between 307 and 50 is 514
The percent error between 307 and 51 is 501.96
The percent error between 307 and 52 is 490.38
The percent error between 307 and 53 is 479.25
The percent error between 307 and 54 is 468.52
The percent error between 307 and 55 is 458.18
The percent error between 307 and 56 is 448.21
The percent error between 307 and 57 is 438.6
The percent error between 307 and 58 is 429.31
The percent error between 307 and 59 is 420.34
The percent error between 307 and 60 is 411.67
The percent error between 307 and 61 is 403.28
The percent error between 307 and 62 is 395.16
The percent error between 307 and 63 is 387.3
The percent error between 307 and 64 is 379.69
The percent error between 307 and 65 is 372.31
The percent error between 307 and 66 is 365.15
The percent error between 307 and 67 is 358.21
The percent error between 307 and 68 is 351.47
The percent error between 307 and 69 is 344.93
The percent error between 307 and 70 is 338.57
The percent error between 307 and 71 is 332.39
The percent error between 307 and 72 is 326.39
The percent error between 307 and 73 is 320.55
The percent error between 307 and 74 is 314.86
The percent error between 307 and 75 is 309.33
The percent error between 307 and 76 is 303.95
The percent error between 307 and 77 is 298.7
The percent error between 307 and 78 is 293.59
The percent error between 307 and 79 is 288.61
The percent error between 307 and 80 is 283.75
The percent error between 307 and 81 is 279.01
The percent error between 307 and 82 is 274.39
The percent error between 307 and 83 is 269.88
The percent error between 307 and 84 is 265.48
The percent error between 307 and 85 is 261.18
The percent error between 307 and 86 is 256.98
The percent error between 307 and 87 is 252.87
The percent error between 307 and 88 is 248.86
The percent error between 307 and 89 is 244.94
The percent error between 307 and 90 is 241.11
The percent error between 307 and 91 is 237.36
The percent error between 307 and 92 is 233.7
The percent error between 307 and 93 is 230.11
The percent error between 307 and 94 is 226.6
The percent error between 307 and 95 is 223.16
The percent error between 307 and 96 is 219.79
The percent error between 307 and 97 is 216.49
The percent error between 307 and 98 is 213.27
The percent error between 307 and 99 is 210.1
The percent error between 307 and 100 is 207