If the mean of 20 observations, namely x₁,x₂,x₃, ,x₂₀ is 1 414 , then what is the value of _ i=1 ²⁰100(2x_i+4) ?

Step-by-step solution

Given the mean of 20 observations is 1.414 . 1 20 _ i=1 ²⁰ x_i = 1.414 _ i=1 ²⁰ x_i = 20 1.414 = 28.28 We need to find the value of _ i=1 ²⁰ 100(2x_i + 4) . _ i=1 ²⁰ 100(2x_i + 4) = 100 ( 2 _ i=1 ²⁰ x_i + _ i=1 ²⁰ 4 ) = 100 ( 2(28.28) + 20 4 ) = 100 (56.56 + 80) = 100 (136.56) = 13656