1. The following table reports the sources of electricity in the U.S. in 2016: Source of Electricity Percentage Coal 32% Hydro and renewables 14% Natural gas 33% Nuclear power 19% Other 2% (i) Construct a Pareto Chart. (ii) What percentage of power is derived from coal , nuclear power, or natural gas? (iii) Construct a pie chart. (iv) For these data, do you prefer a Pareto chart or a pie chart? Why? 2. Consider the file Commuting Time which contains the average weekly commuting time for a sample of 30 U.S. cities in March 2015. (i) Construct the histogram and the percentage polygon. (ii) Compute the mean, the median, and the mode of the data set. (iii) Find the range, the variance, and the standard deviation. (iv) Find the IQR and the five-number summary. (v) Construct a boxplot. Are the data skewed? If so, how? (vi) Based on the previous questions, what conclusions might you reach concern- ing the commuting time? 1 3. The table below shows the distribution of marks for 100 students on a science test: Driving times [10 20) [20 30) [30 40) [40 50) [50 60) [60 70) [70 80) [80 90] Number of employees 11 6 19 10 11 18 16 9 Find the mean, the mode, the median, the IQR, the five-number summary, and the variance and standard deviation. 2