What is percent error between 310 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 ( $a$ ): 310
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:

$% Error = (\frac{abs(310 - 42)}{42}) \times 100$

Step 4: Perform the Calculation

Simplify the expression:

$% Error = (\frac{268}{42}) \times 100$

Step 5: Calculate

$% Error = (6.3809523809524) \times 100$

$% Error = 638.1$

Step 6: Interpret the Result

Hence, the percentage discrepancy between the observed value of 310 and the expected value of 42 is 638.1%.

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 310

The percent error between 310 and 1 is 30900
The percent error between 310 and 2 is 15400
The percent error between 310 and 3 is 10233.33
The percent error between 310 and 4 is 7650
The percent error between 310 and 5 is 6100
The percent error between 310 and 6 is 5066.67
The percent error between 310 and 7 is 4328.57
The percent error between 310 and 8 is 3775
The percent error between 310 and 9 is 3344.44
The percent error between 310 and 10 is 3000
The percent error between 310 and 11 is 2718.18
The percent error between 310 and 12 is 2483.33
The percent error between 310 and 13 is 2284.62
The percent error between 310 and 14 is 2114.29
The percent error between 310 and 15 is 1966.67
The percent error between 310 and 16 is 1837.5
The percent error between 310 and 17 is 1723.53
The percent error between 310 and 18 is 1622.22
The percent error between 310 and 19 is 1531.58
The percent error between 310 and 20 is 1450
The percent error between 310 and 21 is 1376.19
The percent error between 310 and 22 is 1309.09
The percent error between 310 and 23 is 1247.83
The percent error between 310 and 24 is 1191.67
The percent error between 310 and 25 is 1140
The percent error between 310 and 26 is 1092.31
The percent error between 310 and 27 is 1048.15
The percent error between 310 and 28 is 1007.14
The percent error between 310 and 29 is 968.97
The percent error between 310 and 30 is 933.33
The percent error between 310 and 31 is 900
The percent error between 310 and 32 is 868.75
The percent error between 310 and 33 is 839.39
The percent error between 310 and 34 is 811.76
The percent error between 310 and 35 is 785.71
The percent error between 310 and 36 is 761.11
The percent error between 310 and 37 is 737.84
The percent error between 310 and 38 is 715.79
The percent error between 310 and 39 is 694.87
The percent error between 310 and 40 is 675
The percent error between 310 and 41 is 656.1
The percent error between 310 and 42 is 638.1
The percent error between 310 and 43 is 620.93
The percent error between 310 and 44 is 604.55
The percent error between 310 and 45 is 588.89
The percent error between 310 and 46 is 573.91
The percent error between 310 and 47 is 559.57
The percent error between 310 and 48 is 545.83
The percent error between 310 and 49 is 532.65
The percent error between 310 and 50 is 520
The percent error between 310 and 51 is 507.84
The percent error between 310 and 52 is 496.15
The percent error between 310 and 53 is 484.91
The percent error between 310 and 54 is 474.07
The percent error between 310 and 55 is 463.64
The percent error between 310 and 56 is 453.57
The percent error between 310 and 57 is 443.86
The percent error between 310 and 58 is 434.48
The percent error between 310 and 59 is 425.42
The percent error between 310 and 60 is 416.67
The percent error between 310 and 61 is 408.2
The percent error between 310 and 62 is 400
The percent error between 310 and 63 is 392.06
The percent error between 310 and 64 is 384.38
The percent error between 310 and 65 is 376.92
The percent error between 310 and 66 is 369.7
The percent error between 310 and 67 is 362.69
The percent error between 310 and 68 is 355.88
The percent error between 310 and 69 is 349.28
The percent error between 310 and 70 is 342.86
The percent error between 310 and 71 is 336.62
The percent error between 310 and 72 is 330.56
The percent error between 310 and 73 is 324.66
The percent error between 310 and 74 is 318.92
The percent error between 310 and 75 is 313.33
The percent error between 310 and 76 is 307.89
The percent error between 310 and 77 is 302.6
The percent error between 310 and 78 is 297.44
The percent error between 310 and 79 is 292.41
The percent error between 310 and 80 is 287.5
The percent error between 310 and 81 is 282.72
The percent error between 310 and 82 is 278.05
The percent error between 310 and 83 is 273.49
The percent error between 310 and 84 is 269.05
The percent error between 310 and 85 is 264.71
The percent error between 310 and 86 is 260.47
The percent error between 310 and 87 is 256.32
The percent error between 310 and 88 is 252.27
The percent error between 310 and 89 is 248.31
The percent error between 310 and 90 is 244.44
The percent error between 310 and 91 is 240.66
The percent error between 310 and 92 is 236.96
The percent error between 310 and 93 is 233.33
The percent error between 310 and 94 is 229.79
The percent error between 310 and 95 is 226.32
The percent error between 310 and 96 is 222.92
The percent error between 310 and 97 is 219.59
The percent error between 310 and 98 is 216.33
The percent error between 310 and 99 is 213.13
The percent error between 310 and 100 is 210