Suppose an Algorithm Is Designed to Test Whether the First

question 10

Multiple Choice

Suppose an algorithm is designed to test whether the first element of an array is equal to the second. If the array has 10 elements, this algorithm requires one comparison. If the array has 1000 elements, it still requires only one comparison. Which of the following statements is false:

• A) The algorithm is completely independent of the number of elements in the array.
• B) This algorithm is said to have a constant run time, which is represented in Big O notation as O(1) and pronounced as "order one."
• C) An algorithm that's O(1) does not necessarily require only one comparison. O(1) simply means that the number of comparisons is constant-it does not grow as the size of the array increases.
• D) An algorithm that tests whether the first element of an array is equal to any of the next three elements is O(3).

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Definitions:

Nominal

Referring to data classified into categories without a natural order or ranking among the categories.

Interval Data

A type of data that consists of numerical scores that exist on a scale with equal intervals between values but no true zero point.

Nominal Data

Categorical data that cannot be ordered or ranked in a meaningful way.

Ordinal Data

A type of categorical data with a set order or scale, but without a standard spacing between the categories.