Class 11

26. Statistics question bank (Maths)

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Q1.

If the mean deviation of numbers \(1, 1 + d, 1 + 2d, \ldots, 1 + 100d\) from their mean is 306, then the \(d\) is equal to

(A)
10.0
(B)
12.0
(C)
12.12
(D)
21.2
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Q2.

The variable \(x\) takes two values \(x_1\) and \(x_2\) with frequencies \(f_1\) and \(f_2\) respectively. If \(\sigma\) denotes the standard deviation of \(x\), then

(A)
\(\sigma^2 = \frac{f_1x_1^2 + f_2x_2^2}{f_1 + f_2} - \left(\frac{f_1x_1 + f_2x_2}{f_1 + f_2}\right)^2\)
(B)
\(\sigma^2 = \frac{f_1f_2}{(f_1 + f_2)^2}(x_1 - x_2)^2\)
(C)
\(\sigma^2 = \frac{(x_1 - x_2)^2}{(f_1 + f_2)^2}\)
(D)
None of these
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