Q23 of 174 Page 597

The mean of the following data is 8.





















x



3



5



7



9



11



13



y



6



8



15



p



8



4



The value of p is

Given: Mean = 8












































X



Y



X × Y



3



6



18



5



8



40



7



15



105



9



P



9p



11



8



88



13



4



52




∑y = 41 + p



303 + 9p



Mean =


⇒ 8 =


On cross multiplying both the sides we get,


⇒ 303 + 9p = 8(41 + p)


⇒ 303 + 9p = 328 + 8p


⇒ 9p – 8p = 328 – 303


⇒ p = 25

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