Answered: 250 200 150 100 50 25 50 75 100 % White…

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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Customer database A large philanthropic organization
keeps records on the people who have contributed to
their cause. In addition to keeping records of past giving,

the organization buys demographic data on neighbor-
hoods from the U.S. Census Bureau. Eighteen of these

variables concern the ethnicity of the neighborhood of
the donor. Here are a histogram and summary statistics
for the percentage of whites in the neighborhoods of
500 donors:a) Which is a better summary of the percentage of
white residents in the neighborhoods, the mean or
the median? Explain.
b) Which is a better summary of the spread, the IQR or
the standard deviation? Explain.c) From a Normal model, about what percentage of
neighborhoods should have a percent white within one
standard deviation of the mean?
d) What percentage of neighborhoods actually have a
percent white within one standard deviation of the
mean?
e) Explain the discrepancy between parts c and d.

250
200
150
100
50
25
50
75
100
% White
Count
Mean
Median
500
83.59
93
StdDev
IQR
Q1
Q3
22.26
17
80
97
# of Neighborhoods

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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