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Answer :

For given n numbers of data points

[tex]x_1,x_2,x_3,\ldots,x_n[/tex]

The mean value is the sum of all the data points divided by the total number of data points n.

It is formulated as

[tex]\bar{x}=\frac{x_1+x_2+\cdots+x_n}{n}[/tex]

Given data points are

34 36 32 40 39 17

Here n=6.

Therefore, the mean of hours they worked that week is

[tex]\begin{gathered} \bar{x}=\frac{34+36+32+40+39+17}{6} \\ =33 \end{gathered}[/tex]

Hence, the mean of hours they worked that week is 33 hours.