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Let the observations xi(1≤i≤10) satisfy the equations, ∑i=110xi-5=10 and ∑i=110xi-52=40. If μ and λ are the mean and variance of the observations, x1-3,x2-3,…x10-3, then the ordered pair (μ,λ) is equal to:

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a

3,6

b

6,3

c

3,3

d

6,6

answer is C.

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Detailed Solution

Given ∑i=110xi=60 and ∑i=110xi2-10∑i=110xi+250=40⇒∑i=110xi2=390 For the observations x1-3,x2-3,…x10-3 Mean =∑i=110xi-310=3 Variance =∑i=110xi-3-3210=∑i=110xi-6210=∑i=110xi2-12(60)+36010=3

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Let the observations xi(1≤i≤10) satisfy the equations, ∑i=110xi-5=10 and ∑i=110xi-52=40. If μ and λ are the mean and variance of the observations, x1-3,x2-3,…x10-3, then the ordered pair (μ,λ) is equal to: