What is percent error between 311 and 45?

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 ( $a$ ): 311
Theoretical Value ( $b$ ): 45

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:

$% Error = (\frac{abs(311 - 45)}{45}) \times 100$

Step 4: Perform the Calculation

Simplify the expression:

$% Error = (\frac{266}{45}) \times 100$

Step 5: Calculate

$% Error = (5.9111111111111) \times 100$

$% Error = 591.11$

Step 6: Interpret the Result

Hence, the percentage discrepancy between the observed value of 311 and the expected value of 45 is 591.11%.

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 311

The percent error between 311 and 1 is 31000
The percent error between 311 and 2 is 15450
The percent error between 311 and 3 is 10266.67
The percent error between 311 and 4 is 7675
The percent error between 311 and 5 is 6120
The percent error between 311 and 6 is 5083.33
The percent error between 311 and 7 is 4342.86
The percent error between 311 and 8 is 3787.5
The percent error between 311 and 9 is 3355.56
The percent error between 311 and 10 is 3010
The percent error between 311 and 11 is 2727.27
The percent error between 311 and 12 is 2491.67
The percent error between 311 and 13 is 2292.31
The percent error between 311 and 14 is 2121.43
The percent error between 311 and 15 is 1973.33
The percent error between 311 and 16 is 1843.75
The percent error between 311 and 17 is 1729.41
The percent error between 311 and 18 is 1627.78
The percent error between 311 and 19 is 1536.84
The percent error between 311 and 20 is 1455
The percent error between 311 and 21 is 1380.95
The percent error between 311 and 22 is 1313.64
The percent error between 311 and 23 is 1252.17
The percent error between 311 and 24 is 1195.83
The percent error between 311 and 25 is 1144
The percent error between 311 and 26 is 1096.15
The percent error between 311 and 27 is 1051.85
The percent error between 311 and 28 is 1010.71
The percent error between 311 and 29 is 972.41
The percent error between 311 and 30 is 936.67
The percent error between 311 and 31 is 903.23
The percent error between 311 and 32 is 871.88
The percent error between 311 and 33 is 842.42
The percent error between 311 and 34 is 814.71
The percent error between 311 and 35 is 788.57
The percent error between 311 and 36 is 763.89
The percent error between 311 and 37 is 740.54
The percent error between 311 and 38 is 718.42
The percent error between 311 and 39 is 697.44
The percent error between 311 and 40 is 677.5
The percent error between 311 and 41 is 658.54
The percent error between 311 and 42 is 640.48
The percent error between 311 and 43 is 623.26
The percent error between 311 and 44 is 606.82
The percent error between 311 and 45 is 591.11
The percent error between 311 and 46 is 576.09
The percent error between 311 and 47 is 561.7
The percent error between 311 and 48 is 547.92
The percent error between 311 and 49 is 534.69
The percent error between 311 and 50 is 522
The percent error between 311 and 51 is 509.8
The percent error between 311 and 52 is 498.08
The percent error between 311 and 53 is 486.79
The percent error between 311 and 54 is 475.93
The percent error between 311 and 55 is 465.45
The percent error between 311 and 56 is 455.36
The percent error between 311 and 57 is 445.61
The percent error between 311 and 58 is 436.21
The percent error between 311 and 59 is 427.12
The percent error between 311 and 60 is 418.33
The percent error between 311 and 61 is 409.84
The percent error between 311 and 62 is 401.61
The percent error between 311 and 63 is 393.65
The percent error between 311 and 64 is 385.94
The percent error between 311 and 65 is 378.46
The percent error between 311 and 66 is 371.21
The percent error between 311 and 67 is 364.18
The percent error between 311 and 68 is 357.35
The percent error between 311 and 69 is 350.72
The percent error between 311 and 70 is 344.29
The percent error between 311 and 71 is 338.03
The percent error between 311 and 72 is 331.94
The percent error between 311 and 73 is 326.03
The percent error between 311 and 74 is 320.27
The percent error between 311 and 75 is 314.67
The percent error between 311 and 76 is 309.21
The percent error between 311 and 77 is 303.9
The percent error between 311 and 78 is 298.72
The percent error between 311 and 79 is 293.67
The percent error between 311 and 80 is 288.75
The percent error between 311 and 81 is 283.95
The percent error between 311 and 82 is 279.27
The percent error between 311 and 83 is 274.7
The percent error between 311 and 84 is 270.24
The percent error between 311 and 85 is 265.88
The percent error between 311 and 86 is 261.63
The percent error between 311 and 87 is 257.47
The percent error between 311 and 88 is 253.41
The percent error between 311 and 89 is 249.44
The percent error between 311 and 90 is 245.56
The percent error between 311 and 91 is 241.76
The percent error between 311 and 92 is 238.04
The percent error between 311 and 93 is 234.41
The percent error between 311 and 94 is 230.85
The percent error between 311 and 95 is 227.37
The percent error between 311 and 96 is 223.96
The percent error between 311 and 97 is 220.62
The percent error between 311 and 98 is 217.35
The percent error between 311 and 99 is 214.14
The percent error between 311 and 100 is 211