Question

3.11cm,3.12cm,3.14cm,3.14cmmean length,mean absolute error,persentage error,measurement of length

Answer 1

Answer:

The percentage error by dividing the mean absolute error by the mean length and multiplying by 100 is  0.3%

Explanation:

From the above question,

They have given :

Calculate the sum of all the measurements:

      3.11 cm + 3.12 cm + 3.14 cm + 3.14 cm = 12.51 cm

Divide the sum by the number of measurements to get the mean length:  

                  12.51 cm ÷ 4 = 3.13 cm

To calculate the absolute error of each measurement by subtracting it from the mean length:

3.11 cm − 3.13 cm = -0.02 cm

3.12 cm − 3.13 cm = -0.01 cm

3.14 cm − 3.13 cm = 0.01 cm

3.14 cm − 3.13 cm = 0.01 cm

To calculate the mean absolute error by taking the average of all the absolute errors: (-0.02 cm + -0.01 cm + 0.01 cm + 0.01 cm) ÷ 4 = 0.01 cm

To calculate the percentage error by dividing the mean absolute error by the mean length and multiplying by 100: (0.01 cm ÷ 3.13 cm) × 100 = 0.3%

The measurement of length is in centimeters.

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