What is percent error between 338 and 46?

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 ( $a$ ): 338
Theoretical Value ( $b$ ): 46

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:

$% Error = (\frac{abs(338 - 46)}{46}) \times 100$

Step 4: Perform the Calculation

Simplify the expression:

$% Error = (\frac{292}{46}) \times 100$

Step 5: Calculate

$% Error = (6.3478260869565) \times 100$

$% Error = 634.78$

Step 6: Interpret the Result

Hence, the percentage discrepancy between the observed value of 338 and the expected value of 46 is 634.78%.

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 338

The percent error between 338 and 1 is 33700
The percent error between 338 and 2 is 16800
The percent error between 338 and 3 is 11166.67
The percent error between 338 and 4 is 8350
The percent error between 338 and 5 is 6660
The percent error between 338 and 6 is 5533.33
The percent error between 338 and 7 is 4728.57
The percent error between 338 and 8 is 4125
The percent error between 338 and 9 is 3655.56
The percent error between 338 and 10 is 3280
The percent error between 338 and 11 is 2972.73
The percent error between 338 and 12 is 2716.67
The percent error between 338 and 13 is 2500
The percent error between 338 and 14 is 2314.29
The percent error between 338 and 15 is 2153.33
The percent error between 338 and 16 is 2012.5
The percent error between 338 and 17 is 1888.24
The percent error between 338 and 18 is 1777.78
The percent error between 338 and 19 is 1678.95
The percent error between 338 and 20 is 1590
The percent error between 338 and 21 is 1509.52
The percent error between 338 and 22 is 1436.36
The percent error between 338 and 23 is 1369.57
The percent error between 338 and 24 is 1308.33
The percent error between 338 and 25 is 1252
The percent error between 338 and 26 is 1200
The percent error between 338 and 27 is 1151.85
The percent error between 338 and 28 is 1107.14
The percent error between 338 and 29 is 1065.52
The percent error between 338 and 30 is 1026.67
The percent error between 338 and 31 is 990.32
The percent error between 338 and 32 is 956.25
The percent error between 338 and 33 is 924.24
The percent error between 338 and 34 is 894.12
The percent error between 338 and 35 is 865.71
The percent error between 338 and 36 is 838.89
The percent error between 338 and 37 is 813.51
The percent error between 338 and 38 is 789.47
The percent error between 338 and 39 is 766.67
The percent error between 338 and 40 is 745
The percent error between 338 and 41 is 724.39
The percent error between 338 and 42 is 704.76
The percent error between 338 and 43 is 686.05
The percent error between 338 and 44 is 668.18
The percent error between 338 and 45 is 651.11
The percent error between 338 and 46 is 634.78
The percent error between 338 and 47 is 619.15
The percent error between 338 and 48 is 604.17
The percent error between 338 and 49 is 589.8
The percent error between 338 and 50 is 576
The percent error between 338 and 51 is 562.75
The percent error between 338 and 52 is 550
The percent error between 338 and 53 is 537.74
The percent error between 338 and 54 is 525.93
The percent error between 338 and 55 is 514.55
The percent error between 338 and 56 is 503.57
The percent error between 338 and 57 is 492.98
The percent error between 338 and 58 is 482.76
The percent error between 338 and 59 is 472.88
The percent error between 338 and 60 is 463.33
The percent error between 338 and 61 is 454.1
The percent error between 338 and 62 is 445.16
The percent error between 338 and 63 is 436.51
The percent error between 338 and 64 is 428.13
The percent error between 338 and 65 is 420
The percent error between 338 and 66 is 412.12
The percent error between 338 and 67 is 404.48
The percent error between 338 and 68 is 397.06
The percent error between 338 and 69 is 389.86
The percent error between 338 and 70 is 382.86
The percent error between 338 and 71 is 376.06
The percent error between 338 and 72 is 369.44
The percent error between 338 and 73 is 363.01
The percent error between 338 and 74 is 356.76
The percent error between 338 and 75 is 350.67
The percent error between 338 and 76 is 344.74
The percent error between 338 and 77 is 338.96
The percent error between 338 and 78 is 333.33
The percent error between 338 and 79 is 327.85
The percent error between 338 and 80 is 322.5
The percent error between 338 and 81 is 317.28
The percent error between 338 and 82 is 312.2
The percent error between 338 and 83 is 307.23
The percent error between 338 and 84 is 302.38
The percent error between 338 and 85 is 297.65
The percent error between 338 and 86 is 293.02
The percent error between 338 and 87 is 288.51
The percent error between 338 and 88 is 284.09
The percent error between 338 and 89 is 279.78
The percent error between 338 and 90 is 275.56
The percent error between 338 and 91 is 271.43
The percent error between 338 and 92 is 267.39
The percent error between 338 and 93 is 263.44
The percent error between 338 and 94 is 259.57
The percent error between 338 and 95 is 255.79
The percent error between 338 and 96 is 252.08
The percent error between 338 and 97 is 248.45
The percent error between 338 and 98 is 244.9
The percent error between 338 and 99 is 241.41
The percent error between 338 and 100 is 238