For given n numbers of data points
![x_1,x_2,x_3,\ldots,x_n](https://img.qammunity.org/2023/formulas/mathematics/college/cnfe9vojf85jzfyt1d2dtftbrom529qhqx.png)
The mean value is the sum of all the data points divided by the total number of data points n.
It is formulated as
![\bar{x}=(x_1+x_2+\cdots+x_n)/(n)](https://img.qammunity.org/2023/formulas/mathematics/college/bz86mo4k72uw02vbhtop99pxhrime6nj0d.png)
Given data points are
34 36 32 40 39 17
Here n=6.
Therefore, the mean of hours they worked that week is
![\begin{gathered} \bar{x}=(34+36+32+40+39+17)/(6) \\ =33 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/f42274h9zyh117fygj0s0aut2ewmh477g3.png)
Hence, the mean of hours they worked that week is 33 hours.