Speed of Light. Light travels very fast. It takes about 8 min to reach Earth from the Sun and over 4 years to reach Earth from the closest star outside the solar system. Radio and radar waves also...

Speed of Light. Light travels very fast. It takes about 8 min to reach Earth from the Sun and over 4 years to reach Earth from the closest star outside the solar system. Radio and radar waves also travel at the speed of light, and an accurate value of that speed is important to communicate with astronauts and orbiting satellites. Because of the nature of light, it is very hard to measure its speed. The first reasonably accurate measurements of the speed of light were made by A. Michelson and S. Newcomb. The table below contains 66 transformed measurements made by Newcomb between July and September 1882. Entry 28, for instance, corresponds to the actual measurement of 0.000024828 s. This was the amount of time needed for light to travel approx. 4.65 miles.

You can download light. Data |mat and read it in MATLAB. If we agree that outlier measurements are outside the interval [Q1 − 2.5 IQR,Q3 + 2.5 IQR], what observations qualify as outliers? Make the data “clean” by excluding outlier(s). For the cleaned data find the mean, 20% trimmed mean, real MAD, std, and variance. Plot the histogram and kernel density estimator for an appropriately selected bandwidth.