سوال ۲۴ کنکور ارشد علوم کامپیوتر ۱۳۹۹

Read the following passage and answer the question.

PASSAGE 2 (final paragraphs):

It is likely to be more fruitful to use several lower-degree polynomials which utilize data at points close to the required one. This is achieved by the various difference schemes which we will discuss shortly or by the use of spline interpolation. The latter is based on the idea of a piecewise polynomial which interpolates the complete set of data but which is of low degree and therefore simple to evaluate in any subrange.

All these approaches and their associated errors are to be discussed in the next two chapters. We will see that the problem is often reduced to the necessity of solving a (sometimes large) system of linear equations.

Before proceeding to the details of any one interpolation scheme, it is necessary to point out one further difficulty which may arise in practice. If the data is itself the result of practical experiment and therefore subject to its own errors, then it is probably unwise to insist that any approximation scheme agrees exactly with this erroneous data. This is one of the primary motivations for the use of approximation algorithms rather than interpolation. The idea here is to find a function whose graph passes close to all the data points without necessarily fitting any of the data exactly.

Question: Approximating functions to data are preferred due to -----------.