Respuesta :
Results of the 100m sprinter's run during the competition period are as follows: 10.8, 10.7, 10.7, 10.9, 10.6, 10.8, 10.7, 10.9, 10.8, 10.6.
1. Calculate the mean (average): Add up all the times and divide by the number of runs. The mean is approximately 10.75 seconds.
2. Calculate the standard deviation: This measures the amount of variation or dispersion in the run times. For this set, the standard deviation is approximately 0.05 seconds.
3. Determine the confidence interval: With a 95% confidence level, the margin of error is approximately 0.036 seconds. The confidence interval for the run times is approximately between 10.7142 and 10.7858 seconds.
4. Calculate the absolute relative measurement error: This is a measure of the accuracy of the measurements. In this case, the absolute relative measurement error is approximately 0.464%.
In summary, the average run time is around 10.75 seconds, with a confidence interval of 10.7142 to 10.7858 seconds and an absolute relative measurement error of approximately 0.464%.
