question_answer

                                                      If a be the mean of \[{{\mathbf{x}}_{\mathbf{1}}},\text{ }{{\mathbf{x}}_{\mathbf{2}}},\text{ }{{\mathbf{x}}_{\mathbf{3}}},\text{ }.........\text{ }{{\mathbf{x}}_{\mathbf{n}}},\]and \[\overline{b}\] be the mean of \[{{\mathbf{y}}_{\mathbf{1}}},\text{ }{{\mathbf{y}}_{\mathbf{2}}},\text{ }{{\mathbf{y}}_{\mathbf{3}}},\text{ }........~\]If \[\overline{c}\] is the mean of \[{{\mathbf{x}}_{\mathbf{1}}},\text{ }{{\mathbf{x}}_{\mathbf{2}}},\text{ }{{\mathbf{x}}_{\mathbf{3}}},......,\text{ }{{\mathbf{x}}_{\mathbf{n}}},\text{ }{{\mathbf{y}}_{\mathbf{1}}},\text{ }{{\mathbf{y}}_{\mathbf{2}}},.......\text{ }{{\mathbf{y}}_{\mathbf{n}}},\]then \[\overline{c}\] is equal to

A) \[\frac{\overline{a}-\overline{b}}{2}\]                                                     

B) \[\overline{\text{a}}\text{+}\overline{\text{b}}\]

C) \[\frac{\overline{a}+\overline{b}}{2}\]   

D) \[\frac{\overline{a}+\overline{b}}{n}\]

E) None of these