Question

the mean of data is x.if each observation is multiplied by 5 and 2 is subtracted from each observation the new mean is​

Answer 1

Answer:

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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