What is percent error between 402 and 48?

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 ( $a$ ): 402
Theoretical Value ( $b$ ): 48

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:

$% Error = (\frac{abs(402 - 48)}{48}) \times 100$

Step 4: Perform the Calculation

Simplify the expression:

$% Error = (\frac{354}{48}) \times 100$

Step 5: Calculate

$% Error = (7.375) \times 100$

$% Error = 737.5$

Step 6: Interpret the Result

Hence, the percentage discrepancy between the observed value of 402 and the expected value of 48 is 737.5%.

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 402

The percent error between 402 and 1 is 40100
The percent error between 402 and 2 is 20000
The percent error between 402 and 3 is 13300
The percent error between 402 and 4 is 9950
The percent error between 402 and 5 is 7940
The percent error between 402 and 6 is 6600
The percent error between 402 and 7 is 5642.86
The percent error between 402 and 8 is 4925
The percent error between 402 and 9 is 4366.67
The percent error between 402 and 10 is 3920
The percent error between 402 and 11 is 3554.55
The percent error between 402 and 12 is 3250
The percent error between 402 and 13 is 2992.31
The percent error between 402 and 14 is 2771.43
The percent error between 402 and 15 is 2580
The percent error between 402 and 16 is 2412.5
The percent error between 402 and 17 is 2264.71
The percent error between 402 and 18 is 2133.33
The percent error between 402 and 19 is 2015.79
The percent error between 402 and 20 is 1910
The percent error between 402 and 21 is 1814.29
The percent error between 402 and 22 is 1727.27
The percent error between 402 and 23 is 1647.83
The percent error between 402 and 24 is 1575
The percent error between 402 and 25 is 1508
The percent error between 402 and 26 is 1446.15
The percent error between 402 and 27 is 1388.89
The percent error between 402 and 28 is 1335.71
The percent error between 402 and 29 is 1286.21
The percent error between 402 and 30 is 1240
The percent error between 402 and 31 is 1196.77
The percent error between 402 and 32 is 1156.25
The percent error between 402 and 33 is 1118.18
The percent error between 402 and 34 is 1082.35
The percent error between 402 and 35 is 1048.57
The percent error between 402 and 36 is 1016.67
The percent error between 402 and 37 is 986.49
The percent error between 402 and 38 is 957.89
The percent error between 402 and 39 is 930.77
The percent error between 402 and 40 is 905
The percent error between 402 and 41 is 880.49
The percent error between 402 and 42 is 857.14
The percent error between 402 and 43 is 834.88
The percent error between 402 and 44 is 813.64
The percent error between 402 and 45 is 793.33
The percent error between 402 and 46 is 773.91
The percent error between 402 and 47 is 755.32
The percent error between 402 and 48 is 737.5
The percent error between 402 and 49 is 720.41
The percent error between 402 and 50 is 704
The percent error between 402 and 51 is 688.24
The percent error between 402 and 52 is 673.08
The percent error between 402 and 53 is 658.49
The percent error between 402 and 54 is 644.44
The percent error between 402 and 55 is 630.91
The percent error between 402 and 56 is 617.86
The percent error between 402 and 57 is 605.26
The percent error between 402 and 58 is 593.1
The percent error between 402 and 59 is 581.36
The percent error between 402 and 60 is 570
The percent error between 402 and 61 is 559.02
The percent error between 402 and 62 is 548.39
The percent error between 402 and 63 is 538.1
The percent error between 402 and 64 is 528.13
The percent error between 402 and 65 is 518.46
The percent error between 402 and 66 is 509.09
The percent error between 402 and 67 is 500
The percent error between 402 and 68 is 491.18
The percent error between 402 and 69 is 482.61
The percent error between 402 and 70 is 474.29
The percent error between 402 and 71 is 466.2
The percent error between 402 and 72 is 458.33
The percent error between 402 and 73 is 450.68
The percent error between 402 and 74 is 443.24
The percent error between 402 and 75 is 436
The percent error between 402 and 76 is 428.95
The percent error between 402 and 77 is 422.08
The percent error between 402 and 78 is 415.38
The percent error between 402 and 79 is 408.86
The percent error between 402 and 80 is 402.5
The percent error between 402 and 81 is 396.3
The percent error between 402 and 82 is 390.24
The percent error between 402 and 83 is 384.34
The percent error between 402 and 84 is 378.57
The percent error between 402 and 85 is 372.94
The percent error between 402 and 86 is 367.44
The percent error between 402 and 87 is 362.07
The percent error between 402 and 88 is 356.82
The percent error between 402 and 89 is 351.69
The percent error between 402 and 90 is 346.67
The percent error between 402 and 91 is 341.76
The percent error between 402 and 92 is 336.96
The percent error between 402 and 93 is 332.26
The percent error between 402 and 94 is 327.66
The percent error between 402 and 95 is 323.16
The percent error between 402 and 96 is 318.75
The percent error between 402 and 97 is 314.43
The percent error between 402 and 98 is 310.2
The percent error between 402 and 99 is 306.06
The percent error between 402 and 100 is 302