Question

Find the standard deviation for the following data:

• A. $6.12$
• B. $5.12$
• C. $3.12$
• D. $7.12$

Answer 1

Answer: (A)

$6.12$

Answer 2

Let us form the following table: Now, $\left(\sigma\right) = \frac{1}{N} \sqrt{N\Sigma f_{i}x_{i}^{2} - \left(\Sigma f_{i} x_{i}\right)^{2}}$ $= \frac{1}{48}\sqrt{48\times9652 -\left(614\right)^{2}}$ $= \frac{1}{48} \sqrt{463296 - 376996}$ $= \frac{1}{48} \times 293.77$ $= 6.12$