Measuring data

We gradually measured the values of 3,8,13,10,1,13,10,5,3,9. Calculate how much is the sum of the median and average of this file from the mode of this file.

Final Answer:

x₁ =  6

Step-by-step explanation:

$$\begin{gathered} \{1,3,3,5,8,9,10,10,13,13\} \\ n=10 \\ s=1+3+3+5+8+9+10+10+13+13=75 \\ \mu =s/n=75/10=\frac{15}{2}=7\frac{1}{2}=7.5 \\ median=\frac{8+9}{2}=\frac{17}{2}=8\frac{1}{2}=8.5 \\ cnts=\{3,10,13\} \\ \mathrm{m}\mathrm{o}\mathrm{d}=10 \\ {x}_1=median+\mu -\mathrm{m}\mathrm{o}\mathrm{d}=8.5+7.5-10=6 \end{gathered}$$

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