Question
Download Solution PDFThe variance of the data 2, 4, 6, 8, 10 is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFMean, \(\bar x = \frac{{2 + 4 + 6 + 8 + 10}}{5} = \frac{{30}}{5} = 6\)
\(\therefore Variance = \frac{1}{n}\sum {\left( {{x_i} - \bar x} \right)^2}\;\)
\(= \frac{1}{5}\left\{ {{{\left( {2 - 6} \right)}^2} + {{\left( {4 - 6} \right)}^2} + {{\left( {6 - 6} \right)}^2} + {{\left( {8 - 6} \right)}^2} + {{\left( {10 - 6} \right)}^2}} \right\}\)
\(= \frac{1}{5}\left\{ {16 + 4 + 0 + 4 + 16} \right\} = \frac{1}{5} \times 40 = 8\)
Last updated on May 31, 2025
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