What is percent error between 302 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 ( $a$ ): 302
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:

$% Error = (\frac{abs(302 - 33)}{33}) \times 100$

Step 4: Perform the Calculation

Simplify the expression:

$% Error = (\frac{269}{33}) \times 100$

Step 5: Calculate

$% Error = (8.1515151515152) \times 100$

$% Error = 815.15$

Step 6: Interpret the Result

Hence, the percentage discrepancy between the observed value of 302 and the expected value of 33 is 815.15%.

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 302

The percent error between 302 and 1 is 30100
The percent error between 302 and 2 is 15000
The percent error between 302 and 3 is 9966.67
The percent error between 302 and 4 is 7450
The percent error between 302 and 5 is 5940
The percent error between 302 and 6 is 4933.33
The percent error between 302 and 7 is 4214.29
The percent error between 302 and 8 is 3675
The percent error between 302 and 9 is 3255.56
The percent error between 302 and 10 is 2920
The percent error between 302 and 11 is 2645.45
The percent error between 302 and 12 is 2416.67
The percent error between 302 and 13 is 2223.08
The percent error between 302 and 14 is 2057.14
The percent error between 302 and 15 is 1913.33
The percent error between 302 and 16 is 1787.5
The percent error between 302 and 17 is 1676.47
The percent error between 302 and 18 is 1577.78
The percent error between 302 and 19 is 1489.47
The percent error between 302 and 20 is 1410
The percent error between 302 and 21 is 1338.1
The percent error between 302 and 22 is 1272.73
The percent error between 302 and 23 is 1213.04
The percent error between 302 and 24 is 1158.33
The percent error between 302 and 25 is 1108
The percent error between 302 and 26 is 1061.54
The percent error between 302 and 27 is 1018.52
The percent error between 302 and 28 is 978.57
The percent error between 302 and 29 is 941.38
The percent error between 302 and 30 is 906.67
The percent error between 302 and 31 is 874.19
The percent error between 302 and 32 is 843.75
The percent error between 302 and 33 is 815.15
The percent error between 302 and 34 is 788.24
The percent error between 302 and 35 is 762.86
The percent error between 302 and 36 is 738.89
The percent error between 302 and 37 is 716.22
The percent error between 302 and 38 is 694.74
The percent error between 302 and 39 is 674.36
The percent error between 302 and 40 is 655
The percent error between 302 and 41 is 636.59
The percent error between 302 and 42 is 619.05
The percent error between 302 and 43 is 602.33
The percent error between 302 and 44 is 586.36
The percent error between 302 and 45 is 571.11
The percent error between 302 and 46 is 556.52
The percent error between 302 and 47 is 542.55
The percent error between 302 and 48 is 529.17
The percent error between 302 and 49 is 516.33
The percent error between 302 and 50 is 504
The percent error between 302 and 51 is 492.16
The percent error between 302 and 52 is 480.77
The percent error between 302 and 53 is 469.81
The percent error between 302 and 54 is 459.26
The percent error between 302 and 55 is 449.09
The percent error between 302 and 56 is 439.29
The percent error between 302 and 57 is 429.82
The percent error between 302 and 58 is 420.69
The percent error between 302 and 59 is 411.86
The percent error between 302 and 60 is 403.33
The percent error between 302 and 61 is 395.08
The percent error between 302 and 62 is 387.1
The percent error between 302 and 63 is 379.37
The percent error between 302 and 64 is 371.88
The percent error between 302 and 65 is 364.62
The percent error between 302 and 66 is 357.58
The percent error between 302 and 67 is 350.75
The percent error between 302 and 68 is 344.12
The percent error between 302 and 69 is 337.68
The percent error between 302 and 70 is 331.43
The percent error between 302 and 71 is 325.35
The percent error between 302 and 72 is 319.44
The percent error between 302 and 73 is 313.7
The percent error between 302 and 74 is 308.11
The percent error between 302 and 75 is 302.67
The percent error between 302 and 76 is 297.37
The percent error between 302 and 77 is 292.21
The percent error between 302 and 78 is 287.18
The percent error between 302 and 79 is 282.28
The percent error between 302 and 80 is 277.5
The percent error between 302 and 81 is 272.84
The percent error between 302 and 82 is 268.29
The percent error between 302 and 83 is 263.86
The percent error between 302 and 84 is 259.52
The percent error between 302 and 85 is 255.29
The percent error between 302 and 86 is 251.16
The percent error between 302 and 87 is 247.13
The percent error between 302 and 88 is 243.18
The percent error between 302 and 89 is 239.33
The percent error between 302 and 90 is 235.56
The percent error between 302 and 91 is 231.87
The percent error between 302 and 92 is 228.26
The percent error between 302 and 93 is 224.73
The percent error between 302 and 94 is 221.28
The percent error between 302 and 95 is 217.89
The percent error between 302 and 96 is 214.58
The percent error between 302 and 97 is 211.34
The percent error between 302 and 98 is 208.16
The percent error between 302 and 99 is 205.05
The percent error between 302 and 100 is 202