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