QUESTION 4.24 AND 4.26
Geometric Mean The geometric mean of a set of numbers x_1 through x_1 is defined as the nth root of the product of the numbers: geometric mean = n squareroot x_1, x_2, x_3, ... x_n Write a MATLAB program that will accept an arbitrary number of positive input values and calculate both the arithmetic mean (i.e., the average) and the geometric mean of the numbers. Use a while loop to get the input values, and terminate the inputs when a user enters a negative number. Test your program by calculating the average and geometric mean of the four numbers 10, 5, 2, and 5. RMS Average The root-mean-square (rms) average is another way of calculating a mean for a set of numbers. The rms average of a series of numbers is the squareroot of the arithmetic mean of the squares of the numbers: rms average = squareroot 1/N sigma^N_i = 1 x^2_1 Write a MATLAB program that will accept an arbitrary number of positive input values and calculate the rms average of the numbers. Prompt the user for the number of values to be entered, and use a for loop to read in the numbers. Test your program by calculating the rms average of the four numbers 10, 5, 2, and 5. Harmonic Mean The harmonic mean is yet another way of calculating a mean for a set of numbers. The harmonic mean of a set of numbers is given by the equation: harmonic mean = N/1/x_1 + 1/x_2 + ... + 1/x_N Write a MATLAB program that will read in an arbitrary number of positive input values and calculate the harmonic mean of the numbers. Use any method that you desire to read in the input values. Test your program by calculating the harmonic mean of the four numbers 10, 5, 2, and 5. 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 numbers: (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 Mean Time Between Failure Calculations The reliability of a piece of electronic equipment is usually measured in terms of mean time between failures (MTBF), where MTBF is the average time that the piece of equipment can operate before a failure occurs in it. For large systems containing Geometric Mean The geometric mean of a set of numbers x_1 through x_1 is defined as the nth root of the product of the numbers: geometric mean = n squareroot x_1, x_2, x_3, ... x_n Write a MATLAB program that will accept an arbitrary number of positive input values and calculate both the arithmetic mean (i.e., the average) and the geometric mean of the numbers. Use a while loop to get the input values, and terminate the inputs when a user enters a negative number. Test your program by calculating the average and geometric mean of the four numbers 10, 5, 2, and 5. RMS Average The root-mean-square (rms) average is another way of calculating a mean for a set of numbers. The rms average of a series of numbers is the squareroot of the arithmetic mean of the squares of the numbers: rms average = squareroot 1/N sigma^N_i = 1 x^2_1 Write a MATLAB program that will accept an arbitrary number of positive input values and calculate the rms average of the numbers. Prompt the user for the number of values to be entered, and use a for loop to read in the numbers. Test your program by calculating the rms average of the four numbers 10, 5, 2, and 5. Harmonic Mean The harmonic mean is yet another way of calculating a mean for a set of numbers. The harmonic mean of a set of numbers is given by the equation: harmonic mean = N/1/x_1 + 1/x_2 + ... + 1/x_N Write a MATLAB program that will read in an arbitrary number of positive input values and calculate the harmonic mean of the numbers. Use any method that you desire to read in the input values. Test your program by calculating the harmonic mean of the four numbers 10, 5, 2, and 5. 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 numbers: (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 Mean Time Between Failure Calculations The reliability of a piece of electronic equipment is usually measured in terms of mean time between failures (MTBF), where MTBF is the average time that the piece of equipment can operate before a failure occurs in it. For large systems containing
