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JEE MATHEMATICS MCQ: STATISTICS

1 Easy

1 of 1

Analyzing +4 | -1

If a variable

x

takes values

{x_i}

such that

a \le {x_i} \le b

, for

i = 1,\;2,\; \ldots n

, then

View answer and explanation

Correct option: D

{\left( {b - a} \right)^2} \ge \mathrm{var}\left( x \right)

Option D (

{\left( {b - a} \right)^2} \ge \mathrm{var}\left( x \right)

) is correct because the variance is always less than or equal to the square of the range (b-a).

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\bar X,

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