Answer:
Based on the data provided, it seems that the student is measuring the time period of a simple pendulum. The measured time periods are:
1.2 sec
1.23 sec
4.18 sec
1.25 sec
To find the mean time period, we add up all the measured values and divide by the total number of measurements:
Mean time period = (1.2 + 1.23 + 4.18 + 1.25) / 4 = 2.215 sec
To find the absolute error of each measurement, we subtract the mean time period from each measurement and take the absolute value:
Absolute error of 1st measurement = abs(1.2 - 2.215) = 1.015 sec
Absolute error of 2nd measurement = abs(1.23 - 2.215) = 0.985 sec
Absolute error of 3rd measurement = abs(4.18 - 2.215) = 1.965 sec
Absolute error of 4th measurement = abs(1.25 - 2.215) = 0.965 sec
To find the mean absolute error, we add up all the absolute errors and divide by the total number of measurements:
Mean absolute error = (1.015 + 0.985 + 1.965 + 0.965) / 4 = 1.23 sec
To find the percentage error of each measurement, we divide the absolute error of each measurement by the mean time period and multiply by 100:
Percentage error of 1st measurement = (1.015 / 2.215) * 100 = 45.9%
Percentage error of 2nd measurement = (0.985 / 2.215) * 100 = 44.4%
Percentage error of 3rd measurement = (1.965 / 2.215) * 100 = 88.8%
Percentage error of 4th measurement = (0.965 / 2.215) * 100 = 43.6%
Note that the third measurement has a significantly larger percentage error compared to the other measurements, which suggests that it may be an outlier or there may have been some systematic error in that particular measurement. It is important to carefully analyze such outliers and repeated experiments to ensure accurate results.