Given data is:
Fist four moments about mean:
μ1′=n1∑xifi=4134445=10.762
μ2′=n1∑xi2fi=41348110=116.489
μ3′=n1∑xi3fi=413699749=1694.30
μ4′=n1∑xi4fi=4139775376=23669.19
Now,
μ1=μ1′=10.762 μ2=μ2′−μ1′=105.727 μ3=μ3′−3μ2′μ1′+2μ1′3=1694.30−3760.96+2492.92=426.26
μ4=μ4′−4μ3′μ1′+6μ2′μ1′2−3μ1′4=23669.19−72936.2264+80950.98−3739.38μ4=27944.563
Now,
b1=μ23μ32=(105.727)3(426.26)2=1181837.39181697.58=0.1537
b2=μ22μ4=11178.1985327944.563=2.499
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