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Show that if the numbers x_1,x_2,... ,x_n have a mean X̄, a variance s2 and a coefficient of var

Question: Show that if the numbers \[{{x}_{1}},{{x}_{2}},\ldots ,{{x}_{n}}\] have a mean \[\bar{x}\], a variance s2 and a coefficient of variation \[\gamma \] then k times these numbers, that is \[k{{x}_{1}},k{{x}_{2}},\ldots ,k{{x}_{n}}\] have a mean \[k\bar{x}\], a variance ks2 and a coefficient of variation \[\gamma \].

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