Write a single program that calculates the arithmetic mean...

Write a single program that calculates the arithmetic mean (average), rms average, geometric mean, and harmonic mean for a set of positive numbers. Use any method that you desire to read in the input values. Compare these values for each of the following sets of aumbers. a. $4,4,4,4,4,4,4$ b. $4,3,4,5,4,3,5$ c. $4,1,4,7,4,1,7$ d. $1,2,3,4,5,6,7$

Write a single program that calculates the arithmetic mean (average), rms average, geometric mean, and harmonic mean for a set of positive numbers. Use any method that you desire to read in the input values. Compare these values for each of the following sets of aumbers.
a. $4,4,4,4,4,4,4$
b. $4,3,4,5,4,3,5$
c. $4,1,4,7,4,1,7$
d. $1,2,3,4,5,6,7$

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Key Concepts

Harmonic Mean

The harmonic mean is computed as the number of values divided by the sum of the reciprocals of the values. This mean is particularly effective for datasets involving rates or ratios, as it tends to mitigate the impact of large outliers.

Geometric Mean

The geometric mean is obtained by taking the nth root of the product of n positive numbers. It is particularly useful for averaging ratios or percentages, and it is less sensitive to extreme values compared to the arithmetic mean.

Arithmetic Mean

The arithmetic mean is the sum of a set of numbers divided by the count of numbers. It is a fundamental measure of central tendency in statistics and provides a representative value of the dataset.

Root Mean Square (RMS) Average

The RMS average is calculated by taking the square root of the mean of the squares of the numbers. It is often used in situations where both the magnitude and the variance of the values are important, such as in signal processing or electrical engineering.

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