The mean of some data is 84. If 3 is added in every number and then divided them by 5 then find the new mean 32.
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Correct option is
D
3p+1
Let number of terms in data be n
Given that,
Mean =p
⇒ Sum of data =pn
If each term is multiplied by 3, new sum becomes thrice, i.e. 3pn
Also given that 1 is added in each term, hence, n is added in sum, i.e. New sum =3pn+n
Mean of new observations =
n
3pn+n
=3p+1
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