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Math220--Assignment # 2

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

Isabella White
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1Math220--Assignment # 2Question1. (Minitab)TheU.S.government(http://www.eia.gov/totalenergy/data/annual)collectsdataonenergy consumptionper capitafor each state and the District of Columbia.The provideddatafile showsthe 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 deviation of the percapita energyconsumption in the 50 statesand theDistrictof Columbia.d)Use the output towrite a brief report on the distribution of energy consumptionper capita in the U.S. in the year 2010.Make sure you identify any outlying statesinenergy consumption usage. How was energyconsumption in yourhome (oradopted) state in 2010?Minitab Instructions: a), b), and c): We obtain at oncehistogram, boxplot, and summarystatistics by doing the following:-Choose 'Stat → Basic Statistics → Display Descriptive Statistics'-Select the Energy Consumptionvariable for the 'Variables' Box-Click the ‘Graphs’ dialog box open-Select ‘Histogram of data’ and ‘Boxplot of data’ and press Enter twiceThe output will give you the summary stats (in the session window), histogram, andboxplot (on separate graph windows). There is no need to edit the graphs. Take all of thisto your MS Word file and produce a nice description of the output. You may want tocreate a table such as the one below to report the statistics:Instructions:1.ChooseGraph > Histogram.2.ChooseSimple, then clickOK.3.InGraph variables, enter the data (Consumption).4.ClickOK.a)Theobtained histogram is,90080070060050040030020020151050Energy Consumtion per capFrequencyHistogram of Energy Consumtion per capMost of the consumption is between 200 and 400.However, the distribution of per capitaconsumption is positively skewed.b)Interpreting the resultsInterpretation:The boxplotshows:1.The median consumption score is 316.1.2.The interquartile range is280 to 410.3.Outliers are present.4.The range is187.4 to 948.1.5.The longerrightwhisker and large box area above the median indicate that thedata have a slight positive skewness-the right tail of the distribution is longerthan the left tail.c)

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Document Details

University
American Public University
Course
Math 220
Subject
Mathematics

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