The problem asks to compute the summation of five measurements $x_1, x_2, \ldots, x_5$ using the summation notation:

$\sum_{i=1}^5 x_i$

The measurements given are $17, 16, 6, 5, 19$. To solve:

1. Add all the numbers together: $17 + 16 + 6 + 5 + 19 = 63$

Thus, the summation value is: $\boxed{63}$

Would you like me to go into further detail or provide additional explanation?

Related Questions:

1. What is summation notation, and how does it simplify representation of sums?
2. How is summation notation applied in statistics?
3. What is the difference between summation and product notation?
4. Can summation notation handle weighted sums or averages?
5. How do you calculate $\sum_{i=1}^n (x_i + c)$, where $c$ is a constant?

Tip:

Always double-check arithmetic calculations in summations, especially with larger data sets or when variables are involved.