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 Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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