If the mean of following frequency distribution is 6.2 then find the value of p.
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Step-by-step explanation:
Mean = ( 1 × 2 ) + ( 3 × 4 ) + ( 5 × 3 ) + ( 7 × 6 ) + ( 9 × p ) + ( 11 × 4 ) / ( 19 + p )
6.2 = ( 2 + 12 + 15 + 42 + 9p + 44 ) / ( 19 + p )
6.2 = ( 115 + 9p ) / ( 19 + p )
6.2 × ( 19 + p ) = 115 + 9p
117.8 + 6.2 p = 115 + 9p
117.8 - 115 = 9p - 6.2p
2.8 = 2.8 p
p = 2.8 / 2.8
p = 1 is the answer.
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