Durations of sunshine (in hours) in Amritsar for first 10 days of August 1997 as reported by the Meteorological Department are given below:

9.6, 5.2, 3.5, 1.5, 1.6, 2.4, 2.6, 8.4, 10.3, 10.9


(i) Find the mean


(ii) Verify that = 0

Duration of sunshine (in hours) for 10 days are:

9.6, 5.2, 3.5, 1.5, 1.6, 2.4, 2.6, 8.4, 10.3, 10.9


(i) Mean,


=


=


=


= 5.6


(ii) L.H.S =


= (x1 - ) + (x2 - ) + (x3 -) + (x4 - ) + ………. + (x10 - )


= (9.6 – 5.6) + (5.2 – 5.6) + (3.5 – 5.6) + (1.5 – 5.6) + (1.6 – 5.6) + (2.4 – 5.6)


= (4) + (-0.4) + (-2.1) + (-4.1) + (-4) + (-3.2) + (-3) + (2.8) + (4.7) + (5.3)


= 16.8 – 16.8


= 0


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