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If the variance $$\sigma^2$$ of the data
is $$k$$, then the value of $$[k]$$ is ______ (where $$.$$ denotes the greatest integer function)
Correct Answer: 29
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 $$[k] = \mathbf{29}$$
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