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Estimating the Mean Using a Histogram

• Estimate the mean of a Histogram using:
• $\frac{\sum _{i=1}^n(\text{Mid point of class interval})\cdot (\text{frequency})}{\text{total}}$
• On example here.
• $\begin{array}{ll}\text{Estimate of Mean}& =\frac{(30(4)+50(12)+70(9)+90(3)+110(2)}{30}\\ & =61.33\end{array}$
• Now we can say it looks like Gamma Distribution with $\mathrm{\Gamma }(3,3)⟹\mu =\alpha \beta$