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Calculate the Variance and Standard deviation for the following data :

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Here,

N=50 and \(\displaystyle\sum f_ix_i\) = 3100

\(\bar{x}=\frac{1}{N}\displaystyle\sum_{i=1}^{7} f_ix_i\)

\(=\frac{3100}{50}\)

= 62

\(σ=\frac{1}{N}\displaystyle\sum_{i=1}^{7} f_i(x_i-\bar{x})^2\)

= \(\frac{1}{50} \times 10050\)

Standard deviation,

\(σ=\sqrt {201}\)

= 14.18

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