# question from central tendencies

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Consumption of Natural Gas: Following data represents the energy consumption of natural gas (in billions of Btu) by the 50 states and the District of Columbia.

474         475       205        639        197        344        3             409        247        66

377        87           747        1166     223        248        958        406        251        3462

2391      514        371        58           224        530        317        267        769         9

188        289        76           678        331        52           214        165        255        319

34           1300      284        834        114        1082       73          62           95           393

Part a

Find Arithmetic Mean, Geometric Mean, Harmonic Mean and Root Mean Square (using discrete data values)

Part b

Construct a frequency distribution using 9 classes to determine:

·         Median

·         All Quartiles

·         D3, D5 and D7

·         P37, P50, P88

·         Draw Box Plot

·         Find Mode using Empirical relation between Mean, Median and Mode