Four students measured the acceleration of gravity. The accepted value for their location is 9.78m/s2. Which student’s measurement has the largest percent error?

A. Student 4: 9.61 m/s2
B. Student 3: 9.88 m/s2
C. Student 2: 9.79 m/s2
D. Student 1: 9.78 m/s2

The student with the largest measurement of percentage error is student 4. Option A is correct.

The percent error shows the disparity between the observed value and the actual value. It is given by the expression:

For student 4: the percentage error can be computed as:

For student 3; the percentage error is:

For student 2; the percentage error is:

For student 1; the percentage error is:

Therefore, we can conclude that the student's measurement that has the largest percent error is student 4.

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at right angles to each other