Let the observations x i (1 ≤ i ≤ 10) satisfy the equations, Σ i = 1 ¹⁰ (x₁ - 5) = 10 and Σ i = 1 ¹⁰ (x₁ - 5)² = 40. If μ and λ are the mean and the variance of the observations, x₁ – 3, x₂ – 3,...., x₁₀ – 3, then the ordered pair (μ, λ) is equal to:

Statistics and Probability: JEE Main 2020 Mathematics question

JEE Main 2020 · 9 Jan, Morning shift · Q5457

JEE Main 20209 Jan, Morning shiftMathematicsMediumStatistics and Probability258× since 2002

Let the observations x_i (1

\le

\le

10) satisfy the equations,

\sum\limits_{i = 1}^{10} {\left( {{x_1} - 5} \right)}

= 10 and

\sum\limits_{i = 1}^{10} {{{\left( {{x_1} - 5} \right)}^2}}

= 40. If

\mu

and

\lambda

are the mean and the variance of the observations, x₁ – 3, x₂ – 3, ...., x₁₀ – 3, then the ordered pair (

\mu

\lambda

) is equal to :