Introduction to statistics

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Question

Find the standard deviation for the following data:

Moderate

Solution

$F r o m t h e t a b l e N = \sum_{}^{} f_{i} = 48 a n d \sum_{}^{} f_{i} x_{i} = 614$
$\begin{aligned} Now, σ = \frac{1}{N} \sqrt{N \sum f_{i} x_{i}^{2} - {(\sum f_{i} x_{i})}^{2}} \\ = \frac{1}{48} \sqrt{48 \times 9652 - (614)^{2}} \\ = \frac{1}{48} \times 293.77 = 6.12 \end{aligned}$

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