Question

Find the variance of the following data: $6, 8, 10, 12, 14, 16, 18, 20, 22, 24$

• A. $33$
• B. $30$
• C. $32$
• D. $35$

Answer 1

Answer: (A)

$33$

Answer 2

From the given data, we can form the following table. Let $A= 14$ Therefore, Mean $\bar{x} =$ assumed mean + $\frac{\sum\limits_{i=1}^{n} y_{i}}{n} \times h$ $= 14 + \frac{5}{10} \times2 = 15$ and varience $\left(\sigma^{2}\right) = \frac{1}{n}\sum\limits_{i=1}^{10} \left(x_{i} \bar{x}\right)^{2}$ $= \frac{1}{10} \times 330$ $= 33$