What is percent error between 309 and 33?

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 ( $a$ ): 309
Theoretical Value ( $b$ ): 33

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:

$% Error = (\frac{abs(309 - 33)}{33}) \times 100$

Step 4: Perform the Calculation

Simplify the expression:

$% Error = (\frac{276}{33}) \times 100$

Step 5: Calculate

$% Error = (8.3636363636364) \times 100$

$% Error = 836.36$

Step 6: Interpret the Result

Hence, the percentage discrepancy between the observed value of 309 and the expected value of 33 is 836.36%.

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 309

The percent error between 309 and 1 is 30800
The percent error between 309 and 2 is 15350
The percent error between 309 and 3 is 10200
The percent error between 309 and 4 is 7625
The percent error between 309 and 5 is 6080
The percent error between 309 and 6 is 5050
The percent error between 309 and 7 is 4314.29
The percent error between 309 and 8 is 3762.5
The percent error between 309 and 9 is 3333.33
The percent error between 309 and 10 is 2990
The percent error between 309 and 11 is 2709.09
The percent error between 309 and 12 is 2475
The percent error between 309 and 13 is 2276.92
The percent error between 309 and 14 is 2107.14
The percent error between 309 and 15 is 1960
The percent error between 309 and 16 is 1831.25
The percent error between 309 and 17 is 1717.65
The percent error between 309 and 18 is 1616.67
The percent error between 309 and 19 is 1526.32
The percent error between 309 and 20 is 1445
The percent error between 309 and 21 is 1371.43
The percent error between 309 and 22 is 1304.55
The percent error between 309 and 23 is 1243.48
The percent error between 309 and 24 is 1187.5
The percent error between 309 and 25 is 1136
The percent error between 309 and 26 is 1088.46
The percent error between 309 and 27 is 1044.44
The percent error between 309 and 28 is 1003.57
The percent error between 309 and 29 is 965.52
The percent error between 309 and 30 is 930
The percent error between 309 and 31 is 896.77
The percent error between 309 and 32 is 865.63
The percent error between 309 and 33 is 836.36
The percent error between 309 and 34 is 808.82
The percent error between 309 and 35 is 782.86
The percent error between 309 and 36 is 758.33
The percent error between 309 and 37 is 735.14
The percent error between 309 and 38 is 713.16
The percent error between 309 and 39 is 692.31
The percent error between 309 and 40 is 672.5
The percent error between 309 and 41 is 653.66
The percent error between 309 and 42 is 635.71
The percent error between 309 and 43 is 618.6
The percent error between 309 and 44 is 602.27
The percent error between 309 and 45 is 586.67
The percent error between 309 and 46 is 571.74
The percent error between 309 and 47 is 557.45
The percent error between 309 and 48 is 543.75
The percent error between 309 and 49 is 530.61
The percent error between 309 and 50 is 518
The percent error between 309 and 51 is 505.88
The percent error between 309 and 52 is 494.23
The percent error between 309 and 53 is 483.02
The percent error between 309 and 54 is 472.22
The percent error between 309 and 55 is 461.82
The percent error between 309 and 56 is 451.79
The percent error between 309 and 57 is 442.11
The percent error between 309 and 58 is 432.76
The percent error between 309 and 59 is 423.73
The percent error between 309 and 60 is 415
The percent error between 309 and 61 is 406.56
The percent error between 309 and 62 is 398.39
The percent error between 309 and 63 is 390.48
The percent error between 309 and 64 is 382.81
The percent error between 309 and 65 is 375.38
The percent error between 309 and 66 is 368.18
The percent error between 309 and 67 is 361.19
The percent error between 309 and 68 is 354.41
The percent error between 309 and 69 is 347.83
The percent error between 309 and 70 is 341.43
The percent error between 309 and 71 is 335.21
The percent error between 309 and 72 is 329.17
The percent error between 309 and 73 is 323.29
The percent error between 309 and 74 is 317.57
The percent error between 309 and 75 is 312
The percent error between 309 and 76 is 306.58
The percent error between 309 and 77 is 301.3
The percent error between 309 and 78 is 296.15
The percent error between 309 and 79 is 291.14
The percent error between 309 and 80 is 286.25
The percent error between 309 and 81 is 281.48
The percent error between 309 and 82 is 276.83
The percent error between 309 and 83 is 272.29
The percent error between 309 and 84 is 267.86
The percent error between 309 and 85 is 263.53
The percent error between 309 and 86 is 259.3
The percent error between 309 and 87 is 255.17
The percent error between 309 and 88 is 251.14
The percent error between 309 and 89 is 247.19
The percent error between 309 and 90 is 243.33
The percent error between 309 and 91 is 239.56
The percent error between 309 and 92 is 235.87
The percent error between 309 and 93 is 232.26
The percent error between 309 and 94 is 228.72
The percent error between 309 and 95 is 225.26
The percent error between 309 and 96 is 221.88
The percent error between 309 and 97 is 218.56
The percent error between 309 and 98 is 215.31
The percent error between 309 and 99 is 212.12
The percent error between 309 and 100 is 209