Connsider data from Problem 3.28.Determine the sample mean, median, mode (if it exists), range, sample variance and standard deviation, coefficient of variation, Pearson's second coefficient of skewness, and coefficient of kurtosis of the given data set. Describe the skewness and kurtosis of the given data set. 3.28 Student loans can add up, especially for those attending professional schools to study in such areasas medicine, law, or dentistry. Researchers at the University of Washington studied medical students andgave the following information on the educational debt of medical students on completion of theirresidencies (Annals of Internal Medicine [March 2002]: 384–398):Educational Debt (dollars)0 to <5000Relative Frequency.4275000 to <20,00020,000 to <50,00050,000 to <100,000100,000 or more.046.109.232.186Determine the sample mean, median, mode (if it exists), range, sample variance and standard deviation,coefficient of variation, Pearson's second coefficient of skewness, and coefficient of kurtosis of the givendata set. Describe the skewness and kurtosis of the given data set.

Required Information: Here class intervals and corresponding relative frequencies are given. So, we…

Answered: Determine the sample mean, median, mode…

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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Connsider data from Problem 3.28.

Determine the sample mean, median, mode (if it exists), range, sample variance and standard deviation, coefficient of variation, Pearson's second coefficient of skewness, and coefficient of kurtosis of the given data set. Describe the skewness and kurtosis of the given data set.

3.28 Student loans can add up, especially for those attending professional schools to study in such areas
as medicine, law, or dentistry. Researchers at the University of Washington studied medical students and
gave the following information on the educational debt of medical students on completion of their
residencies (Annals of Internal Medicine [March 2002]: 384–398):
Educational Debt (dollars)
0 to <5000
Relative Frequency
.427
5000 to <20,000
20,000 to <50,000
50,000 to <100,000
100,000 or more
.046
.109
.232
.186
Determine the sample mean, median, mode (if it exists), range, sample variance and standard deviation,
coefficient of variation, Pearson's second coefficient of skewness, and coefficient of kurtosis of the given
data set. Describe the skewness and kurtosis of the given data set.

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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