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Class F X FX FX2 20 - 30 4 25 100 2500 30 - 40 4 35 140 4900 40 – 50 8 45 360 16200 50 – 60 9 55 495 27225 60 – 70 9 65 585 38025 70 – 80 6 75 450 33750 80 – 90 2 85 170 14450 ∑ 42 ... ∑ 2300 ∑ 37050 ii. Mean = x ∑ ?? ? = 2300 42 = 54.76 iii. Standard deviation and variance V = ∑ ??2 ? - ( ∑ ?? ? ) 2 V = 137050 42 – ( 2300 42 ) 2 = 3263.095 – (54.76)2 = 3263.095 – 2998.658 V = 264.437 Standard deviation S.V = √? √264.437 = 16.26 Mode = ?1 + ( ?1 ?1+ ?2 ) C Ist mode = 50 +( 1 1+0 )10 = 50 + 10 = 60 2 nd mode 60 +( 0 0+3 ) 10 60 + 0 = 60 [Show More]

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