Tolerance

The Tolerance number is used to compare the student answer and the Correct answer. Denote by sa the student's response, ca the correct answer, and n the tolerance.        

Caution

The student answer has an n% error margin with respect to the correct answer. An answer will be marked as correct if it satisfies

|ca-sa|/|ca|≤n·0.01

For instance, if the correct answer is 12.345

Percent error                    Interval of acceptance

10                                        [11.1105,13.5795]

1                                          [12.22155,12.46845]

0.1                                       [12.332655,12.357345]

0.01                                     [12.3437655,12.3462345]

Absolute error

The student answer has a margin of error of n. An answer will be marked as correct if it satisfies

|ca-sa|≤n

For instance, if the correct answer is 12.345

Significant figures

Check that the first n significant figures of student and correct answers are identical. An answer will be marked as correct if it satisfies

trunc(ca·10m)=trunc(sa·10m) where m is such that 10n-1≤ca·10m<10n, and trunc is the truncation function.

For instance, if the correct answer is 19.586

Student Answer
Decimal places	20.01	19.6	19.59	19.58
1
2
3
4

Decimal places

Check that the first n decimal places of student and correct answers are identical. An answer will be marked as correct if it satisfies

trunc(ca·10n)=trunc(sa·10n)

where trunc is the truncation function. For instance, if the correct answer is 19.586

Student Answer

Decimal places 19.6 19.59 19.587 19.586

Student Answer
Decimal places	20.01	19.6	19.59	19.58
1
2
3