A student obtained 60, 75 and 85 marks respectively in 3 monthly examinations in physics and 95 marks in the final examination. The 3 monthly examinations are of equal weightage whereas the final examination is weighted . What is his average mark physics?

A student obtained 60, 75 and 85 marks respectively in 3 monthly examinations in physics and 95 marks in the final examination. The 3 monthly examinations are of equal weightage whereas the final examination is weighted . What is his average mark physics? Correct Answer 82

Correct option is C)We have,x1 ​= 60 x2 ​=75x3​ = 85 x4 ​= 95 w1​ = 1w2 ​= 1 w3​ = 1 and    w4 ​= 2∴ xw¯=w1x1+w2x2+w3x3+ w4x4​​w1+w2+w3+w4​⇒ xw¯=(1×60)+(1×75)+(1×85)+ (2×95)​​1+1+1+2​⇒ xw¯=410​​5∴ xw¯=82    
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