If the variance $$\sigma^2$$ of the data

is $$k$$, then the value of $$k$$ is ______ (where $$.$$ denotes the greatest integer function)

Calculate Mean ($$\mu$$) and Variance ($$\sigma^2$$)

• $$\mu = \frac{\sum f_i x_i}{\sum f_i} = \frac{176}{22} = 8$$

• $$\sigma^2 = \frac{\sum f_i x_i^2}{N} - \mu^2 = \frac{2048}{22} - 8^2 = \frac{1024}{11} - 64$$

• $$k = 93.09 - 64 = 29.09$$

• The value of $$[k] = \mathbf{29}$$