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Math220--Assignment # 2

Mathematical assignment focusing on algebra, calculus, and statistical applications.

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    1 Math 220 -- Assignment # 2 Question 1 . (Minitab) The U.S. government ( http://www.eia.gov/totalenergy/data/annual ) collects data on energy consumption per capita for each state and the District of Columbia. The p rovided data file shows the energy consumption per capita (in million Btu) for the year 2010 . a) Make a histogram of the data. b) Obtain the boxplot of the data. c) Find the five - number summary, the mean, and the standard devi ation of the per capita energy consumption in the 50 states and the District of Columbia . d) Use the output to write a brief report on the distribution of energy consumption per capita in the U.S. in the year 2010 . Make sure you identify any outlying st ates in energy consu mption usage. How was energy consumption in your home (or adopted) state in 2010 ? Minitab Instructions : a), b), and c): We obtain at once histogram, boxplot, and summary statistics by doing the following: - Choose 'Stat → Basic Statistics → Display Descriptive Statistics' - Select the Energy Consumption variable for the 'Variables' Box - Click the ‘Graphs’ dialog box open - Select ‘Histogram of data’ and ‘Boxplot of data’ and press Enter twice The output will give you the summary stats (in the session window), histogram, and boxplot (on separate graph windows). There is no need to edit the graphs. Take all of this to your MS Word file and produce a nice description of the output. You may want to create a table such as the one below to report the statistics: Instructions: 1. Choose Graph > Histogram . 2. Choose Simple , then click OK . 3. In Graph variables , enter the data (Consumption). 4. Click OK . a) The obtained histogram is, 900 800 700 600 500 400 300 200 20 15 10 5 0 Energy Consumtion per cap Frequency Histogram of Energy Consumtion per cap Most of the consumption is between 200 and 400 . However, the distribution of per capita consumption is positively skewed. b) Interpreting the results Interpretation: The boxplot shows: 1. The median consumption score is 316.1. 2. The interquartile range is 280 to 410 . 3. O utliers are present. 4. The range is 187.4 to 948.1 . 5. The longer right whisker and large box area above the median indicate that the data have a slight positive skewness - the right tail of the distribution is longer than the left tail. c)

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