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


Sagot :

The student 4 measurement has the largest percent error. The discrepancy between the calculated value and the correct value is referred to as an "error" in statistics.

What is the error?

An error is a mistaken or erroneous action. In some contexts, an error is interchangeable with a mistake.

The complete question is

'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 percentage error is found as;

[tex]\rm \% error = \frac{a_A-a_E}{a_E} \times 100[/tex]

The percentage error in the gIven four students is obtained by putting the values in the given problem;

Student 1 ;

[tex]\rm \% error = \frac{9.78-9.78}{9.88}\times 100 \\\\\ \% error = 0 \%[/tex]

Student 2 ;

[tex]\rm \% error = \frac{9.78-9..79}{9.79}\times 100 \\\\\ \% error = - 0.10 \%[/tex]

Student 3 ;

[tex]\rm \% error = \frac{9.78-9.88}{9.88}\times 100 \\\\\ \% error = - 1.01 \%[/tex]

Student 4 ;

[tex]\rm \% error = \frac{9.78-9.61}{9.61}\times 100 \\\\\ \% error =1.77\%[/tex]

Student 4 reports the maximum percentage error.

Hence the student 4 measurement has the largest percent error.

To learn more about the error refer to the link;

https://brainly.com/question/13286220

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