Which of the Following Will Result in the Shortest Running

question 34

Multiple Choice

Which of the following will result in the shortest running time?

• A) 3ⁿ = 3 * 3^{n - 1}
• B) 3ⁿ = 2(3^{n - 1}) + 3^{n - 1}
• C) 3ⁿ = 3^{n - 1} + 3^{n - 1} + 3^{n - 1}
• D) Each will produce the same result, so the running time is the same.

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Definitions:

Lower Quartile

The value below which 25% of the data falls, marking the lower end of the middle 50% of a dataset.

Median

The middle value in a list of numbers, which separates the higher half from the lower half.

Standard Deviation

A metric that quantifies the degree to which values in a collection vary from the average value of the group.

IQR

The interquartile range, a measure of statistical variability between the 25th and 75th percentiles.