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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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I need answer all the parts, incomplete answer will get down vote a: If the arithmetic mean of two unequal positive real number 'a' and 'b'; (a> b). be twice as great as their geometric mean, show that: a: b = (2+√3)(2-√3) b: Find the value of mean, mode and median from the data given below Weight (in kg.) No. of students = 93 - 97 ,98 - 102, 103 - 107 ,108-112, 113-117, 118 -122, 123 - 127, 128 -132 Number of students= 3, 5,12,17,14,6,3,1 3: (a) Find the Geometric Mean of 2, 4, 8, 12, 16 and 24. (b) If the observations 2, 4, 8 and 16 occur with frequencies 4, 3, 2 and I respectively, find their geometric mean Example 5-57. d: The following table gives the weights of 31 persons in a sample enquiry. Calculate the an weight using (1) Geometric mean and (if) Harmonic mean. Weight (ibs.) 130, 135, 140, 145 ,146, 148, 149, 150,157 Number of persons: 3, 4,6,6,3,5,2,1,1.

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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