JEE MATHEMATICS MCQ: STATISTICS

1 Easy

1 of 1

Analyzing +4 | -1

Consider three observations

a,\,b

and

c

such that

b\, = \,a\, + \,c

. If the standard deviation of

a\, + \,2,\,b\, + \,2c,\,c\, + \,2

d

, then which of the following is true?

View answer and explanation

Correct option: B

{b^2} = 3\left( {{a^2} + {c^2}} \right) - 9{d^2}

Option B (

{b^2} = 3\left( {{a^2} + {c^2}} \right) - 9{d^2}

) is correct because it represents the relationship between the standard deviation and the given condition b = a + c.

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