JEE Main 2020 — Statistics Question with Solution
From: JEE Main 2020 (Online) 9th January Morning Slot
Question
Let the observations xi (1 i 10) satisfy the
equations, = 10 and = 40.
If and are the mean and the variance of the
observations, x1 – 3, x2 – 3, ...., x10 – 3, then
the ordered pair (, ) is equal to :
equations, = 10 and = 40.
If and are the mean and the variance of the
observations, x1 – 3, x2 – 3, ...., x10 – 3, then
the ordered pair (, ) is equal to :
Choose an option
Show full solutionCorrect option: B
Correct answer
B(3, 3)
Step-by-step explanation
= 10
x1 + x2 + .... + x10 = 60 ....(1)
= 40
() + 25 10 -
10( x1 + x2 + .... + x10) = 40
= 390 .....(2)
From question,
=
= = 3
And = variance = - 2
= - 9
= - 9
= 12 - 9 = 3
x1 + x2 + .... + x10 = 60 ....(1)
= 40
() + 25 10 -
10( x1 + x2 + .... + x10) = 40
= 390 .....(2)
From question,
=
= = 3
And = variance = - 2
= - 9
= - 9
= 12 - 9 = 3
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